<div> <p style="margin:0px;padding:0px;line-height:1.5;text-align:justify;font-family:'1003773_10';font-size:10pt;"><span style="font-size:13.3333330154419px;line-height:15px;"><b>간단하게 질문</b></span></p> <p style="margin:0px;padding:0px;line-height:1.5;text-align:justify;font-family:'1003773_10';font-size:10pt;"><span style="font-size:13.3333330154419px;line-height:15px;"><br></span></p> <p style="margin:0px;padding:0px;line-height:1.5;text-align:justify;font-family:'1003773_10';font-size:10pt;"><span style="font-size:13.3333330154419px;line-height:15px;">일정 압력, 온도 조건에서</span></p> <p style="margin:0px;padding:0px;line-height:1.5;text-align:justify;font-family:'1003773_10';font-size:10pt;"><span style="font-family:'돋움';font-size:12px;line-height:18px;">ΔG = </span><span style="font-size:12px;line-height:1.5;font-family:'돋움';"> </span><span style="font-size:12px;line-height:1.5;font-family:'돋움';">ΔH -</span><span style="font-size:12px;line-height:1.5;font-family:'돋움';">T</span><span style="font-size:12px;line-height:1.5;font-family:'돋움';">Δ</span><span style="font-size:12px;line-height:1.5;font-family:'돋움';">S = </span><span style="font-family:'돋움';font-size:12px;line-height:1.5;">ΔU - </span><span style="font-size:10pt;line-height:1.5;">w</span>_{<span style="font-size:10pt;">주위</span>}<span style="font-family:'돋움';font-size:12px;line-height:1.5;"> + P</span><span style="font-family:'돋움';font-size:12px;line-height:1.5;">ΔV - T</span><span style="font-family:'돋움';font-size:12px;line-height:1.5;">ΔS = (q - </span><span style="font-size:12px;line-height:1.5;font-family:'돋움';">T</span><span style="font-size:12px;line-height:1.5;font-family:'돋움';">ΔS) - </span><span style="font-size:10pt;line-height:1.5;">w</span>_{<span style="font-size:10pt;">주위(비팽창일)</span>}<span style="font-size:10pt;line-height:1.5;"> = </span><span style="font-size:12px;line-height:1.5;font-family:'돋움';">(q - </span><span style="font-size:12px;line-height:1.5;font-family:'돋움';">T</span><span style="font-size:12px;line-height:1.5;font-family:'돋움';">ΔS) + </span><span style="font-size:10pt;line-height:1.5;">w</span>_{<span style="font-size:10pt;">계</span>}_{<span style="font-size:10pt;">(비팽창일)</span>}</p> <p style="margin:0px;padding:0px;line-height:1.5;text-align:justify;font-family:'1003773_10';font-size:10pt;"><span style="font-family:'돋움';font-size:12px;line-height:18px;">의미적으로는 ΔG가 비팽창일을 할 수 있도록 허용된 최대 에너지값이니깐 </span></p> <p style="margin:0px;padding:0px;line-height:1.5;text-align:justify;font-family:'1003773_10';font-size:10pt;"><span style="font-size:12px;line-height:1.5;font-family:'돋움';">(q - </span><span style="font-size:12px;line-height:1.5;font-family:'돋움';">T</span><span style="font-size:12px;line-height:1.5;font-family:'돋움';">ΔS) ≥ </span><span style="font-family:'돋움';font-size:12px;line-height:1.5;">0 </span></p> <p style="margin:0px;padding:0px;font-family:'돋움';text-align:justify;"><font face="돋움">이 되어야 유도한 식이 맞을텐데</font></p> <p style="margin:0px;padding:0px;font-family:'돋움';text-align:justify;"><font face="돋움">클라우지우스 부등식에 따르면 </font></p> <p style="margin:0px;padding:0px;line-height:1.5;text-align:justify;font-family:'1003773_10';font-size:10pt;"><span style="font-size:12px;line-height:1.5;font-family:'돋움';">(q - </span><span style="font-size:12px;line-height:1.5;font-family:'돋움';">T</span><span style="font-size:12px;line-height:1.5;font-family:'돋움';">ΔS) </span><span style="font-family:'돋움';font-size:12px;line-height:1.5;">≤ 0</span></p> <p style="margin:0px;padding:0px;line-height:1.5;text-align:justify;font-family:'1003773_10';font-size:10pt;"><span style="font-family:'돋움';font-size:12px;line-height:1.5;">이니 유도한 식이 안맞습니다. 뭐가 잘못된걸까요... ;ㅅ;</span></p> <p style="margin:0px;padding:0px;line-height:1.5;text-align:justify;font-family:'1003773_10';font-size:10pt;"><span style="font-family:'돋움';font-size:12px;line-height:1.5;"><br></span></p> <p style="margin:0px;padding:0px;line-height:1.5;text-align:justify;font-family:'1003773_10';font-size:10pt;"><span style="font-family:'돋움';font-size:12px;line-height:1.5;"><br></span></p> <p style="margin:0px;padding:0px;line-height:1.5;text-align:justify;font-family:'1003773_10';font-size:10pt;"><span style="font-family:'돋움';font-size:12px;line-height:1.5;">*** >ㅁ< ***</span></p> <p style="margin:0px;padding:0px;line-height:1.5;text-align:justify;font-family:'1003773_10';font-size:10pt;"><span style="font-family:'돋움';font-size:12px;line-height:1.5;"><br></span></p></div> <div><b>상세하게 질문</b></div> <div><br></div> <div><a target="_blank" href="http://kin.naver.com/qna/detail.nhn?d1id=11&dirId=1114&docId=232311096">http://kin.naver.com/qna/detail.nhn?d1id=11&dirId=1114&docId=232311096</a></div> <div><br></div> <div> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';">식을 유도해봤는데, 아무리 생각해봐도 최대 비팽창일(</span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;color:#000000;font-family:'돋움';">w</span><sub style="margin:0px;padding:0px;color:#000000;font-family:'1003773_10';"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">계</span></sub><sub style="margin:0px;padding:0px;color:#000000;font-family:'1003773_10';"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">(비팽창일)</span></sub><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';">)이 </span><span style="margin:0px;padding:0px;font-size:13.3333330154419px;font-family:'돋움';">ΔG 이면,</span></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-size:13.3333330154419px;font-family:'돋움';">비팽창일 ≤ </span><span style="margin:0px;padding:0px;font-size:13.3333330154419px;font-family:'돋움';">ΔG 가 나와야하는데, 유도해봤을 때</span></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-size:13.3333330154419px;font-family:'돋움';">비팽창일 ≥ </span><span style="margin:0px;padding:0px;font-size:13.3333330154419px;font-family:'돋움';">ΔG 가 나온다는거죠.</span></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><br style="margin:0px;padding:0px;"></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';">-----------------------------------</span></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';">본격적으로 질문하기 전에 제가 이용한 '계'와 '주위' 대해 알려드리겠습니다. 일을 표기할 땐 </span></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';">계에서 주위에 하는 일을 라고 </span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;color:#000000;font-family:'돋움';">w</span><sub style="margin:0px;padding:0px;color:#000000;font-family:'1003773_10';"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">계</span></sub><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';">표현하고 (계를 중심으로 보는 화학적 관점), </span></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';">주위에서 계에 하는 일을 </span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;color:#000000;font-family:'돋움';">w</span><sub style="margin:0px;padding:0px;color:#000000;font-family:'1003773_10';"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">주위</span></sub><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';">라고 표현했습니다 (주위를 중심으로 보는 물리학적 관점).</span></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;"><br style="margin:0px;padding:0px;"></span></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;color:#000000;font-family:'돋움';">w</span><sub style="margin:0px;padding:0px;color:#000000;font-family:'1003773_10';"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">계</span></sub><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';"> = -</span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;color:#000000;font-family:'돋움';">w</span><sub style="margin:0px;padding:0px;color:#000000;font-family:'1003773_10';"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">주위</span></sub><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';"> </span></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;"><br style="margin:0px;padding:0px;"></span></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;color:#000000;font-family:'돋움';">w</span><sub style="margin:0px;padding:0px;color:#000000;font-family:'1003773_10';"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">주위</span></sub><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';"> = </span><span style="margin:0px;padding:0px;color:#000000;font-family:'돋움';font-size:10pt;line-height:1.5;">w</span><sub style="margin:0px;padding:0px;color:#000000;font-family:'1003773_10';"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">주위(팽창일)</span></sub><span style="margin:0px;padding:0px;color:#000000;font-family:'돋움';font-size:10pt;line-height:1.5;"> + </span><span style="margin:0px;padding:0px;color:#000000;font-family:'돋움';font-size:10pt;line-height:1.5;">w</span><sub style="margin:0px;padding:0px;color:#000000;font-family:'1003773_10';"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">주위(비팽창일)</span></sub></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;color:#000000;font-family:'돋움';">w</span><sub style="margin:0px;padding:0px;color:#000000;font-family:'1003773_10';"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">계</span></sub><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';"> = </span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;color:#000000;font-family:'돋움';">w</span><sub style="margin:0px;padding:0px;color:#000000;font-family:'1003773_10';"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">계</span></sub><sub style="margin:0px;padding:0px;color:#000000;font-family:'1003773_10';"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">(팽창일)</span></sub><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;color:#000000;font-family:'돋움';"> + </span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;color:#000000;font-family:'돋움';">w</span><sub style="margin:0px;padding:0px;color:#000000;font-family:'1003773_10';"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">계</span></sub><sub style="margin:0px;padding:0px;color:#000000;font-family:'1003773_10';"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">(비팽창일)</span></sub></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;"><br style="margin:0px;padding:0px;"></span></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;color:#000000;font-family:'돋움';font-size:10pt;line-height:1.5;">q =</span><span style="margin:0px;padding:0px;color:#000000;font-family:'돋움';font-size:10pt;line-height:1.5;"> ΔU + </span><span style="margin:0px;padding:0px;color:#000000;font-family:'돋움';font-size:10pt;line-height:1.5;">w</span><sub style="margin:0px;padding:0px;color:#000000;font-family:'1003773_10';"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">주위(팽창일)</span></sub><span style="margin:0px;padding:0px;color:#000000;font-family:'돋움';font-size:10pt;line-height:1.5;"> + </span><span style="margin:0px;padding:0px;color:#000000;font-family:'돋움';font-size:10pt;line-height:1.5;">w</span><sub style="margin:0px;padding:0px;color:#000000;font-family:'1003773_10';"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">주위(비팽창일)</span></sub></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;"><br style="margin:0px;padding:0px;"></span></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-family:'돋움';">그 외 다른 표기에서 '계'와 '주위'는 일반적인 표기와 같습니다.</span></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-family:'돋움';">ex) </span><span style="margin:0px;padding:0px;font-size:13.3333330154419px;color:#000000;font-family:'돋움';">S</span><sub style="margin:0px;padding:0px;color:#000000;font-family:'1003773_10';"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">계</span></sub><span style="margin:0px;padding:0px;font-size:13.3333330154419px;font-family:'돋움';"> : 계의 엔트로피</span></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><br style="margin:0px;padding:0px;"></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-size:13.3333330154419px;font-family:'돋움';">-----------------------------------</span></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-size:13.3333330154419px;font-family:'돋움';">(수학에 서툴러 표기가 잘못된게 많습니다. dq를 q라 쓴다던가, dq를 Δq라고 쓴다던가.. 양해하고 봐주세요.)</span></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-size:13.3333330154419px;"><br style="margin:0px;padding:0px;"></span></p> <p style="margin:0px 0px 0px 40px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;color:#0075c8;font-family:'돋움';">G</span><sub style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-size:10pt;color:#0075c8;font-family:'돋움';">계</span></sub><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;color:#0075c8;font-family:'돋움';"> = H</span><sub style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-size:10pt;color:#0075c8;font-family:'돋움';">계</span></sub><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;color:#0075c8;font-family:'돋움';"> - TS</span><sub style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-size:10pt;color:#0075c8;font-family:'돋움';">계</span></sub></p> <p style="margin:0px 0px 0px 40px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-family:'돋움';font-size:12px;line-height:18px;text-align:justify;">ΔG = </span><span style="margin:0px;padding:0px;font-family:'돋움';text-align:justify;font-size:12px;line-height:1.5;">ΔH -</span><span style="margin:0px;padding:0px;font-family:'돋움';text-align:justify;font-size:12px;line-height:1.5;">Δ(TS)</span></p> <p style="margin:0px 0px 0px 40px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-family:'돋움';text-align:justify;font-size:12px;line-height:1.5;">일정 온도 하에서 : </span><span style="margin:0px;padding:0px;font-family:'돋움';text-align:justify;font-size:12px;line-height:1.5;">ΔG = </span><span style="margin:0px;padding:0px;font-size:12px;line-height:1.5;font-family:'돋움';text-align:justify;">ΔH -</span><span style="margin:0px;padding:0px;font-size:12px;line-height:1.5;font-family:'돋움';text-align:justify;">T</span><span style="margin:0px;padding:0px;font-family:'돋움';text-align:justify;font-size:12px;line-height:1.5;">Δ</span><span style="margin:0px;padding:0px;font-family:'돋움';font-size:12px;line-height:1.5;text-align:justify;">S</span></p> <p style="margin:0px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-family:'돋움';font-size:12px;line-height:1.5;text-align:justify;"><br style="margin:0px;padding:0px;"></span></p> <p style="margin:0px 0px 0px 40px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-family:'돋움';font-size:12px;line-height:1.5;text-align:justify;">H = U + PV</span></p> <p style="margin:0px 0px 0px 40px;padding:0px;font-family:'돋움';text-align:justify;"><span style="margin:0px;padding:0px;">ΔH = ΔU + Δ(PV) = ΔU + ΔPV + PΔV</span></p> <p style="margin:0px 0px 0px 40px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-family:'돋움';font-size:12px;line-height:18px;text-align:justify;">일정 압력 하에서 : ΔH = ΔU + PΔV</span></p> <p style="margin:0px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-family:'돋움';font-size:12px;line-height:18px;text-align:justify;"><br style="margin:0px;padding:0px;"></span></p> <p style="margin:0px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-family:'돋움';font-size:12px;line-height:18px;text-align:justify;">일정 온도와 압력 하에서</span></p> <p style="margin:0px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-family:'돋움';text-align:justify;font-size:12px;line-height:1.5;">ΔG = </span><span style="margin:0px;padding:0px;font-family:'돋움';font-size:12px;line-height:18px;text-align:justify;">ΔU + PΔV</span><span style="margin:0px;padding:0px;font-size:12px;line-height:1.5;font-family:'돋움';text-align:justify;"> -</span><span style="margin:0px;padding:0px;font-size:12px;line-height:1.5;font-family:'돋움';text-align:justify;">T</span><span style="margin:0px;padding:0px;font-family:'돋움';text-align:justify;font-size:12px;line-height:1.5;">Δ</span><span style="margin:0px;padding:0px;font-family:'돋움';font-size:12px;line-height:1.5;text-align:justify;">S</span></p> <p style="margin:0px;padding:0px;font-family:'1003773_10';font-size:10pt;"><br style="margin:0px;padding:0px;"></p> <p style="margin:0px 0px 0px 40px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-family:'돋움';">q =</span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';"> ΔU + </span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';">w</span><sub style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">주위(팽창일)</span></sub><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';"> - </span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';">w</span><sub style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">계</span></sub><sub style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">(비팽창일)</span></sub></p> <p style="margin:0px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;line-height:1.5;font-size:10pt;"><br style="margin:0px;padding:0px;"></span></p> <p style="margin:0px 0px 0px 40px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;line-height:1.5;font-size:10pt;font-family:'돋움';">일정 온도와 압력 하에서 </span></p> <p style="margin:0px 0px 0px 40px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-size:13.3333330154419px;font-family:'돋움';">q = </span><span style="margin:0px;padding:0px;font-size:13.3333330154419px;font-family:'돋움';">ΔU + PΔV</span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';"> </span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';">- </span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';">w</span><sub style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">계</span></sub><sub style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">(비팽창일)</span></sub></p> <p style="margin:0px 0px 0px 40px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-size:13.3333330154419px;font-family:'돋움';">ΔU + PΔV</span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';"> = q +</span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';"> </span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';">w</span><sub style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">계</span></sub><sub style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">(비팽창일)</span></sub></p> <p style="margin:0px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-family:'돋움';font-size:12px;line-height:1.5;text-align:justify;"><br style="margin:0px;padding:0px;"></span></p> <p style="margin:0px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-family:'돋움';font-size:12px;line-height:18px;text-align:justify;">일정 온도와 압력 하에서</span></p> <p style="margin:0px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-family:'돋움';text-align:justify;font-size:12px;line-height:1.5;">ΔG = </span><span style="margin:0px;padding:0px;font-family:'돋움';font-size:12px;line-height:18px;text-align:justify;">ΔU + PΔV</span><span style="margin:0px;padding:0px;font-size:12px;line-height:1.5;font-family:'돋움';text-align:justify;"> -</span><span style="margin:0px;padding:0px;font-size:12px;line-height:1.5;font-family:'돋움';text-align:justify;">T</span><span style="margin:0px;padding:0px;font-family:'돋움';text-align:justify;font-size:12px;line-height:1.5;">Δ</span><span style="margin:0px;padding:0px;font-family:'돋움';font-size:12px;line-height:1.5;text-align:justify;">S = q +</span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';"> </span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';">w</span><sub style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">계</span></sub><sub style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">(비팽창일)</span></sub><span style="margin:0px;padding:0px;font-family:'돋움';font-size:12px;line-height:1.5;text-align:justify;"> </span><span style="margin:0px;padding:0px;font-size:12px;line-height:1.5;font-family:'돋움';text-align:justify;">-</span><span style="margin:0px;padding:0px;font-size:12px;line-height:1.5;font-family:'돋움';text-align:justify;">T</span><span style="margin:0px;padding:0px;font-size:12px;line-height:1.5;font-family:'돋움';text-align:justify;">Δ</span><span style="margin:0px;padding:0px;font-size:12px;line-height:1.5;font-family:'돋움';text-align:justify;">S</span></p> <p style="margin:0px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-size:12px;line-height:1.5;font-family:'돋움';text-align:justify;"></span></p> <p style="margin:0px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-size:12px;line-height:1.5;font-family:'돋움';text-align:justify;"><br style="margin:0px;padding:0px;"></span></p> <p style="margin:0px 0px 0px 40px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-size:12px;line-height:1.5;font-family:'돋움';text-align:justify;">클라우지우스 부등식</span></p> <p style="margin:0px 0px 0px 40px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">Δ</span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';">S</span><sub style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">계</span></sub><span style="margin:0px;padding:0px;font-size:10pt;line-height:15px;font-family:'돋움';"> ≥</span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';"> </span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';">∫(dq/T)</span></p> <p style="margin:0px 0px 0px 40px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;"><br style="margin:0px;padding:0px;"></span></p> <p style="margin:0px 0px 0px 40px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';">일정 온도 하에서</span></p> <p style="margin:0px 0px 0px 40px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">Δ</span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';">S</span><sub style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">계</span></sub><span style="margin:0px;padding:0px;font-size:10pt;line-height:15px;font-family:'돋움';"> ≥</span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';"> (</span><span style="margin:0px;padding:0px;font-size:13.3333330154419px;font-family:'돋움';">∫dq)/T = Δq/T</span></p> <p style="margin:0px 0px 0px 40px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-size:13.3333330154419px;font-family:'돋움';">T</span><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">Δ</span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';">S</span><sub style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">계</span></sub><span style="margin:0px;padding:0px;font-size:10pt;line-height:15px;font-family:'돋움';"> ≥</span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';"> </span><span style="margin:0px;padding:0px;font-size:13.3333330154419px;font-family:'돋움';">Δq</span></p> <p style="margin:0px 0px 0px 40px;padding:0px;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-size:13.3333330154419px;"><br style="margin:0px;padding:0px;"></span></p> <p style="margin:0px 0px 0px 40px;padding:0px;color:#404040;font-family:'1003773_10';font-size:10pt;"><span style="margin:0px;padding:0px;font-family:'돋움';font-size:12px;line-height:18px;text-align:justify;"><font color="#0075C8" style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;">ΔG</span></font><font color="#000000" style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;">= </span></font></span><span style="margin:0px;padding:0px;color:#000000;font-size:12px;line-height:1.5;font-family:'돋움';text-align:justify;">q +</span><span style="margin:0px;padding:0px;color:#000000;font-size:10pt;line-height:1.5;font-family:'돋움';"> </span><span style="margin:0px;padding:0px;color:#000000;font-size:10pt;line-height:1.5;font-family:'돋움';">w</span><sub style="margin:0px;padding:0px;color:#000000;"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">계</span></sub><sub style="margin:0px;padding:0px;color:#000000;"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">(비팽창일)</span></sub><span style="margin:0px;padding:0px;color:#000000;font-size:12px;line-height:1.5;font-family:'돋움';text-align:justify;"> </span><span style="margin:0px;padding:0px;color:#000000;font-size:12px;line-height:1.5;font-family:'돋움';text-align:justify;">-</span><span style="margin:0px;padding:0px;color:#000000;font-size:12px;line-height:1.5;font-family:'돋움';text-align:justify;">T</span><span style="margin:0px;padding:0px;color:#000000;font-size:12px;line-height:1.5;font-family:'돋움';text-align:justify;">Δ</span><span style="margin:0px;padding:0px;color:#000000;font-size:12px;line-height:1.5;font-family:'돋움';text-align:justify;">S</span> <font color="#0075C8" style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-size:12px;line-height:1.5;font-family:'돋움';text-align:justify;">≤ </span><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';">w</span><sub style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">계</span></sub><sub style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">(비팽창일)</span></sub></font></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;"><br style="margin:0px;padding:0px;"></span></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-size:13.3333330154419px;font-family:'돋움';">-----------------------------------</span></p> <p style="margin:0px;padding:0px;color:#123456;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;"><br style="margin:0px;padding:0px;"></span></p> <p style="margin:0px;padding:0px;color:#404040;font-size:13.3333330154419px;line-height:20px;"><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;"><font color="#123456" style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-family:'돋움';">유도를 잘못한 것 같지는 않은데</span></font><font color="#EF007C" style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-family:'돋움';"></span><span style="margin:0px;padding:0px;font-family:'돋움';">왜 </span></font></span></p> <p style="margin:0px;padding:0px;color:#404040;font-size:13.3333330154419px;line-height:20px;"><font color="#EF007C" style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-family:'돋움';font-size:12px;line-height:18px;text-align:justify;">ΔG</span> <span style="margin:0px;padding:0px;font-size:12px;line-height:1.5;font-family:'돋움';text-align:justify;">≤ </span><span style="margin:0px;padding:0px;font-family:'돋움';font-size:10pt;line-height:1.5;">w</span><sub style="margin:0px;padding:0px;font-family:'1003773_10';"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">계</span></sub><sub style="margin:0px;padding:0px;font-family:'1003773_10';"><span style="margin:0px;padding:0px;font-size:10pt;font-family:'돋움';">(비팽창일)</span></sub></font></p> <p style="margin:0px;padding:0px;color:#404040;font-size:13.3333330154419px;line-height:20px;"><font color="#EF007C" style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-size:10pt;line-height:1.5;font-family:'돋움';">라는 식이 '최대 비팽창일은</span> <span style="margin:0px;padding:0px;font-family:'돋움';font-size:12px;line-height:18px;text-align:justify;">ΔG이다'라고 해석되는지 모르겠습니다.</span></font></p> <p style="margin:0px;padding:0px;color:#404040;font-family:gulim, sans-serif;font-size:13px;line-height:22.1000003814697px;text-align:justify;"><font color="#000000" face="돋움" style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;font-size:12px;line-height:18px;">의미적으로는 ΔG가 비팽창일을 할 수 있도록 허용된 최대 에너지값이 맞아요. 그런데 왜 유도한 식이랑 안맞느냐는거죠. </span></font></p> <p style="margin:0px;padding:0px;color:#404040;font-family:gulim, sans-serif;font-size:13px;line-height:22.1000003814697px;"><span style="margin:0px;padding:0px;color:#000000;font-family:'돋움';font-size:12px;line-height:18px;text-align:justify;"><br style="margin:0px;padding:0px;"></span></p> <p style="margin:0px;padding:0px;color:#404040;font-family:gulim, sans-serif;font-size:13px;line-height:22.1000003814697px;"><span style="margin:0px;padding:0px;font-family:'돋움';font-size:12px;line-height:18px;text-align:justify;"><font color="#EF007C" style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;">유도가 잘못된 것일까요?</span></font></span></p></div> <div><span style="margin:0px;padding:0px;font-family:'돋움';font-size:12px;line-height:18px;text-align:justify;"><font color="#EF007C" style="margin:0px;padding:0px;"><span style="margin:0px;padding:0px;"><br></span></font></span></div>