{"id":15,"date":"2020-06-15T11:09:27","date_gmt":"2020-06-15T11:09:27","guid":{"rendered":"https:\/\/tbits.jp\/plus\/?p=15"},"modified":"2020-06-28T11:40:08","modified_gmt":"2020-06-28T11:40:08","slug":"calculation-example","status":"publish","type":"post","link":"https:\/\/tbits.jp\/plus\/calculation-example\/","title":{"rendered":"\u7406\u60f3\u6c17\u4f53\u306e\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u5909\u5316\u3092\u8a08\u7b97\u3057\u3066\u307f\u308b"},"content":{"rendered":"<p>\u71b1\u529b\u5b66\u3092\u5b66\u307c\u3046\u3068\u3057\u3066\u3082\u3001\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u3063\u3066\u4e00\u4f53\u4f55\u306a\u3093\u3060\uff1f\u3000\u3068\u3088\u304f\u308f\u304b\u3089\u306a\u3044\u3068\u3044\u3046\u4eba\u3082\u591a\u3044\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n<p>\u305d\u3093\u306a\u3068\u304d\u3001\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u3063\u3066\u3053\u3046\u3044\u3046\u3082\u306e\u3060\u3088\u3068\u8aac\u660e\u3059\u308b\u3088\u308a\u3001\u3068\u308a\u3042\u3048\u305a\u8a08\u7b97\u3057\u3066\u307f\u308b\u3068\u3044\u3046\u306e\u3082\u4e00\u3064\u306e\u624b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002<\/p>\n<p>\u305d\u3053\u3067\u3001\u7c21\u5358\u306a\u4f8b\u3068\u3057\u3066\u65ad\u71b1\u72b6\u614b\u3067\u58c1\u3067\u4ed5\u5207\u3089\u308c\u305f2\u3064\u306e\u90e8\u5c4b\u306b\u7406\u60f3\u6c17\u4f53\u304c\u5165\u3063\u3066\u3044\u308b\u3068\u3057\u3066\u3001\u58c1\u306e\u72b6\u6cc1\u3092\u5909\u3048\u305f\u3068\u304d\u306e\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u5909\u5316\u3092\u8a08\u7b97\u3057\u3066\u307f\u305f\u3044\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n<p><span class=\"note\">\u203b\u30b9\u30de\u30db\u306e\u8868\u793a\u3067\u306f\u6570\u5f0f\u304c\u9014\u5207\u308c\u3066\u3044\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u304c\u3001\u5de6\u53f3\u306b\u30b9\u30e9\u30a4\u30c9\u3059\u308b\u3053\u3068\u3067\u5168\u4f53\u3092\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n\n<h2>\u7406\u60f3\u6c17\u4f53\u306e\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u5909\u5316<\/h2>\n<p>\u72b6\u614b\u65b9\u7a0b\u5f0f${\\small PV=nRT}$\u3092\u6e80\u305f\u3059\u3082\u306e\u3092\u7406\u60f3\u6c17\u4f53\u3068\u3057\u307e\u3059\u3002<\/p>\n<p>\uff08$P$:\u5727\u529b\u3001$V$:\u4f53\u7a4d\u3001$n$:\u30e2\u30eb\u6570\u3001$R$:\u30dc\u30eb\u30c4\u30de\u30f3\u5b9a\u6570\u3001$T$:\u6e29\u5ea6\uff09<\/p>\n<p>${\\small P\u3001V\u3001n\u3001T}$\u306e4\u5909\u6570\u3042\u308a\u307e\u3059\u304c\u3001\u72b6\u614b\u65b9\u7a0b\u5f0f\u306b\u3088\u3063\u3066\u81ea\u7531\u5ea6\u306f3\u3064\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3053\u3053\u3067\u3001$n$\u3092\u4e00\u5b9a\u3068\u3057\u3066\uff08\u81ea\u7531\u5ea62\u3064\uff09\u3001\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc$S$\u3092$T$\u3068$V$\u306e\u95a2\u6570\u3067\u8868\u3057\u307e\u3059\u3002<\/p>\n<div class=\"horizontal-scroll\">$${\\small dS=\\frac{1}{T}\\frac{\\partial S}{\\partial T}dT+\\frac{1}{T}\\frac{\\partial S}{\\partial V}dV}$$<\/div>\n<p>$${\\small\uff1d\\frac{nc_v}{T}dT+\\frac{P}{T}dV}$$<\/p>\n<p>$${\\small\uff1d\\frac{nc_v}{T}dT+\\frac{nR}{V}dV}$$<\/p>\n<p>\uff08$c_v$:\u7b49\u7a4d\u30e2\u30eb\u6bd4\u71b1\uff09<\/p>\n<p>\u3053\u3053\u3067\u3001$c_v=const$ \u3068\u4eee\u5b9a\u3057\u3066\u3001\u6700\u521d\u306e\u72b6\u614b\u3092$V_1$\u3001$T_1$\u3001$S_1$\u3001\u5909\u5316\u5f8c\u306e\u72b6\u614b\u3092$V_2$\u3001$T_2$\u3001$S_2$\u3068\u3057\u3066\u7a4d\u5206\u3059\u308b\u3068\u3001\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u5909\u5316\u306f<\/p>\n<p>$${\\small \\Delta S=S_2-S_1=nc_v\\log\\frac{T_2}{T_1}+nR\\log\\frac{V_2}{V_1}}$$<\/p>\n<p>\u3067\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>n\u3082\u5909\u5316\u3059\u308b\u5834\u5408\u306e\u7406\u60f3\u6c17\u4f53\u306e\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u306e\u6c42\u3081\u65b9\u306f\u3001\u3010<a href=\"https:\/\/tbits.jp\/plus\/entropy-calculation\/\">\u30e2\u30eb\u6570\uff08\u5206\u5b50\u6570\uff09\u3092\u5909\u6570\u306b\u3057\u305f\u7406\u60f3\u6c17\u4f53\u306e\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u306e\u6c42\u3081\u65b9<\/a>\u3011\u3067\u8aac\u660e\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<h2>\u4e8c\u90e8\u5c4b\u3092\u4ed5\u5207\u308b\u900f\u71b1\u58c1\u304c\u56fa\u5b9a\u3055\u308c\u3066\u3044\u308b\u7cfb<\/h2>\n<p>\u4e8c\u90e8\u5c4b\u3092\u4ed5\u5207\u308b\u58c1\u3092\u901a\u3057\u3066\u71b1\u3060\u3051\u304c\u4f1d\u308f\u308b\u72b6\u614b\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u900f\u71b1\u58c1\u3092\u901a\u3057\u3066\u71b1\u79fb\u52d5\u304c\u8d77\u3053\u308a\u3001\u90e8\u5c4b1\u306e\u6e29\u5ea6\u304c$T_1$\u304b\u3089$T&#8217;_1$\u306b\u30012\u306e\u6e29\u5ea6\u304c$T_2$\u304b\u3089$T&#8217;_2$\u306b\u5909\u5316\u3057\u305f\u3068\u3053\u308d\u3067\u5e73\u8861\u72b6\u614b\u306b\u843d\u3061\u7740\u3044\u305f\u3068\u3057\u307e\u3059\u3002<\/p>\n<p>\u3053\u3053\u3067\u6dfb\u3048\u5b571\u306f\u90e8\u5c4b1\u3092\u3001\u6dfb\u3048\u5b572\u306f\u90e8\u5c4b2\u3092\u3001\u6dfb\u3048\u5b57T\u306f\u4e21\u90e8\u5c4b\u306e\u5408\u8a08\u3092\u8868\u3059\u3053\u3068\u306b\u3057\u307e\u3059\u3002<\/p>\n<p>\u65ad\u71b1\u7cfb\u3067\u306f\u7cfb\u5185\u306e\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u306f\u5897\u52a0\u3059\u308b\u306e\u3067\u3001\u5e73\u8861\u306b\u306a\u3063\u305f\u3068\u304d\u306e\u6e29\u5ea6$T&#8217;_1$\u3001$T&#8217;_2$\u3067\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u304c\u6975\u5927\u306b\u306a\u308b\u306f\u305a\u3067\u3059\u3002<\/p>\n<p>\u90e8\u5c4b1\u3001\u90e8\u5c4b\uff12\u306e\u6e29\u5ea6\u3092\u5909\u6570\u3068\u3057\u3001\u305d\u308c\u305e\u308c$t_1$\u3001$t_2$\u3068\u7f6e\u304d\u307e\u3059\u3002<\/p>\n<p>\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3088\u308a<\/p>\n<p>$${\\small n_1c_vT_1+n_2c_vT_2=n_1c_vt_1+n_2c_vt_2}$$<\/p>\n<p>$${\\small t_2=\\frac{n_1T_1+n_2T_2-n_1t_1}{n_2}}$$<\/p>\n<p>\u4f53\u7a4d\u304c\u4e00\u5b9a\u306a\u306e\u3067\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u5909\u5316\u306f<\/p>\n<p>$$ {\\small \\Delta S=n_1c_v\\log\\frac{t_1}{T_1}+n_2c_v \\log\\frac{t_2}{T_2}}$$<\/p>\n<p>$$ {\\small =n_1c_v\\log\\frac{t_1}{T_1}+n_2c_v \\log\\frac{(n_1T_1-n_1t_1+n_2T_2)}{n_2T_2}}$$<\/p>\n<p>\u3053\u3053\u3067$ {\\small \\Delta S}$\u304c\u6975\u5927\u306b\u306a\u308b$t_1$\u3092\u6c42\u3081\u308b\u305f\u3081\u306b\u3001\u5fae\u5206\u3057\u307e\u3059\u3002<\/p>\n<p>$${\\small \\frac{d\\Delta S}{dt_1}=\\frac{n_1c_v}{t_1}-\\frac{n_1n_2c_v}{n_1T_1+n_2T_2-n_1t_1}}$$<\/p>\n<p>\u5e73\u8861\u6e29\u5ea6$ {\\small T&#8217;_1\u3001T&#8217;_2}$\u3067\u3001${\\small d\\Delta S\/dt_1}=0$\u306a\u306e\u3067<\/p>\n<p>$${\\small (n_1T_1-n_1T&#8217;_1+n_2T_2)=n_2T&#8217;_1}$$<\/p>\n<p>$${\\small (n_1+n_2)T&#8217;_1=(n_1T_1+n_2T_2)}$$<\/p>\n<p>$${\\small T&#8217;_1=\\frac{n_1T_1+n_2T_2}{n_1+n_2}}$$<\/p>\n<p>\u3068\u5e73\u8861\u72b6\u614b\u306e\u90e8\u5c4b1\u306e\u6e29\u5ea6$T&#8217;_1$\u306f\u3001$\\frac{n_1T_1+n_2T_2}{n_1+n_2}$\u3068\u3044\u3046\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u5e73\u8861\u72b6\u614b\u3067\u306e\u90e8\u5c4b2\u306e\u6e29\u5ea6$T&#8217;_2$\u306f\u3001<\/p>\n<p>$${\\small T&#8217;_2=\\frac{n_1}{n_2}(T_1-\\frac{n_1T_1+n_2T_2}{n_2+n_1})+T_2}$$<\/p>\n<p>$${\\small=\\frac{n_1n_2T_1-n_1n_2T_2+n_1n_2T_2+n_2^2T_2}{n_2(n_2+n_1)}}$$<\/p>\n<p>$${\\small=\\frac{n_1T_1+n_2T_2}{n_2+n_1}=T&#8217;_1}$$<\/p>\n<p>\u5e73\u8861\u72b6\u614b\u306e\u6e29\u5ea6T&#8217;\u306f\u3001${\\small T&#8217;_1=T&#8217;_2}$\u3068\u306a\u308b\u3053\u3068\u304c\u78ba\u304b\u3081\u3089\u308c\u307e\u3057\u305f\u3002<\/p>\n<p>\u5ff5\u306e\u305f\u3081\u3001${\\small T&#8217;_1=T&#8217;_2=T&#8217;}$\u306e\u3068\u304d${\\small \\Delta S\\geq0}$\u3067\u3042\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>$${\\small \\Delta S=n_1c_v\\log\\frac{T&#8217;}{T_1}+n_2c_v \\log\\frac{T&#8217;}{T_2}}$$<\/p>\n<p>$${\\small =-n_1c_v\\log(\\frac{T_1-T&#8217;}{T&#8217;}+1)-n_2c_v \\log(\\frac{T_2-T&#8217;}{T&#8217;}+1)}$$<\/p>\n<p>$ \\log(x+1)\\leq x$\u3092\u4f7f\u3046\u3068\u3001<\/p>\n<p>$${\\small -n_1c_v\\log(\\frac{T_1-T&#8217;}{T&#8217;}+1)\\geq -n_1c_v\\frac{T_1-T&#8217;}{T&#8217;}}$$<\/p>\n<p>$${\\small -n_2c_v \\log(\\frac{T_2-T&#8217;}{T&#8217;}+1)\\geq -n_2c_v\\frac{T_2-T&#8217;}{T&#8217;}}$$<\/p>\n<p>\u3053\u3053\u3067\u3001${\\small n_1c_v(T_1-T&#8217;)=-n_2c_v(T_2-T&#8217;)}$\u306a\u306e\u3067\u3001\u4e21\u8fba\u3092\u8db3\u3057\u3066<\/p>\n<div class=\"horizontal-scroll\">$${\\small \\Delta S=-n_1c_v\\log(\\frac{T_1-T&#8217;}{T&#8217;}+1)-n_2c_v \\log(\\frac{T_2-T&#8217;}{T&#8217;}+1)\\geq0}$$<\/div>\n<p>\u4e21\u90e8\u5c4b\u306e\u6e29\u5ea6\u304c\u7b49\u3057\u304f\u306a\u308b\u3068\u304d\u306b\u3001\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u304c\u6975\u5927\u306b\u306a\u308b\u3053\u3068\u304c\u78ba\u8a8d\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n\n<h2>\u4e8c\u90e8\u5c4b\u3092\u4ed5\u5207\u308b\u900f\u71b1\u58c1\u304c\u53ef\u52d5\u306a\u7cfb<\/h2>\n<p>\u6b21\u306b\u4e8c\u90e8\u5c4b\u3092\u4ed5\u5207\u308b\u58c1\u304c\u71b1\u3092\u901a\u3059\u3060\u3051\u3067\u306a\u304f\u3001\u79fb\u52d5\u3059\u308b\u5834\u5408\u3092\u8003\u3048\u3066\u307f\u307e\u3059\u3002<\/p>\n<p>\u5168\u4f53\u306e\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u5909\u5316${\\small \\Delta S}$\u306f\u3001<\/p>\n<div class=\"horizontal-scroll\">$${\\small \\Delta S=n_1c_v\\log\\frac{T&#8217;_1}{T_1}+n_2c_v \\frac{T&#8217;_2}{T_2}+n_1k_B\\log\\frac{V&#8217;_1}{V_1}+n_1k_B\\log\\frac{V&#8217;_2}{V_2}}$$<\/div>\n<p>\u3053\u306e\u5834\u5408\u306f\u3001\u71b1\u79fb\u52d5\u306b\u3088\u308b\u6e29\u5ea6\u5909\u5316\u3068\u900f\u71b1\u58c1\u79fb\u52d5\u306b\u3088\u308b\u4f53\u7a4d\u5909\u5316\u304c\u72ec\u7acb\u3057\u3066\u8d77\u304d\u308b\u306e\u3067\u3001\u6e29\u5ea6\u306e\u9805\u3001\u4f53\u7a4d\u306e\u9805\u305d\u308c\u305e\u308c\u304c\u6975\u5927\u306b\u306a\u308b\u6e29\u5ea6\u3068\u4f53\u7a4d\u3067\u71b1\u5e73\u8861\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u53f3\u8fba\u7b2c1\u3001\u7b2c2\u9805\u306f${\\small T&#8217;_1=T&#8217;_2}$\u3067\u6700\u5927\u306b\u306a\u308b\u3053\u3068\u306f\u524d\u8ff0\u306e\u901a\u308a\uff08\u524d\u8ff0\u306e\u8a08\u7b97\u3067\u306f\u4f53\u7a4d\u4e00\u5b9a\u3068\u3044\u3046\u4eee\u5b9a\u3082\u7528\u3044\u3066\u307e\u305b\u3093\uff09\u3067\u3059\u3002<\/p>\n<p>\u305d\u3053\u3067\u900f\u71b1\u58c1\u304c\u79fb\u52d5\u3057\u305f\u3068\u304d\u3001\u53f3\u8fba\u7b2c3\u9805\u30684\u9805\u306e\u548c\u304c\u6700\u5927\u306b\u306a\u308b$V_1$\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n<p>\u90e8\u5c4b1\u306e\u4f53\u7a4d$v_1$\u3092\u5909\u6570\u3068\u3057\u3066<\/p>\n<p>$${\\small \\Delta S=n_1k_B\\log\\frac{v_1}{V1}+n_1k_B\\log\\frac{V_T-v_1}{V_2}}$$<\/p>\n<p>$${\\small \\frac{d\\Delta S}{dv_1}=\\frac{n_1k_B}{v_1}-\\frac{n_2k_B}{V_T-v_1}}$$<\/p>\n<p>\u71b1\u5e73\u8861\u6642\u306e\u90e8\u5c4b1\u306e\u4f53\u7a4d\u3092$V&#8217;_1\u3001V&#8217;_2$\u3068\u3059\u308b\u3068<\/p>\n<p>$${\\small V&#8217;_1=\\frac{n_1V_T}{n_1+n_2}}$$<\/p>\n<p>$${\\small V&#8217;_2=V_T-V&#8217;_1=\\frac{n_2V_T}{n_1+n_2}}$$<\/p>\n<p>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>${\\small \\log(x+1)\\leq x}$\u3088\u308a<\/p>\n<div class=\"horizontal-scroll\">$${\\small -n_1k_B\\log(\\frac{n_2V_1-n_1V_2}{n_1V_T}+1)\\geq -n_1k_B\\frac{n_2V_1-n_1V_2}{n_2V_T}}$$<\/div>\n<div class=\"horizontal-scroll\">$${\\small -n_2c_v \\log(\\frac{n_1V_2-n_2V_1}{n_2V_T}+1)\\geq -n_2c_v\\frac{n_1V_2-n_2V_1}{n_2V_T}}$$<\/div>\n<p>\u4e21\u8fba\u3092\u8db3\u3059\u3068<\/p>\n<div class=\"horizontal-scroll\">$${\\small \u0394S=-n_1k_B\\log(\\frac{n_2V_1-n_1V_2}{n_1V_T}+1)-n_2c_v \\log(\\frac{n_1V_2-n_2V_1}{n_2V_T}+1))\\geq0}$$<\/div>\n<div><\/div>\n<div>\u3088\u3063\u3066\u3001\u58c1\u304c\u79fb\u52d5\u3057\u3066\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u304c\u6975\u5927\u5024\u306b\u306a\u308b\u306e\u306f\u3001<\/div>\n<div>\n<p>$${\\small V&#8217;_1=\\frac{n_1V_T}{n_1+n_2}}$$<\/p>\n<p>$${\\small V&#8217;_2=V_T-V&#8217;_1=\\frac{n_2V_T}{n_1+n_2}}$$<\/p>\n<p>\u306e\u3068\u304d\u3060\u3068\u3044\u3046\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n<p>\u30e2\u30eb\u6570\uff08\u5206\u5b50\u6570\uff09\u306b\u6bd4\u4f8b\u3059\u308b\u3088\u3046\u306b\u4f53\u7a4d\u3092\u5206\u5272\u3057\u305f\u5834\u5408\u304c\u6700\u5927\u306b\u306a\u308b\u3068\u3044\u3046\u7d50\u679c\u3067\u3059\u306d\u3002<\/p>\n<\/div>\n<p>\u6e29\u5ea6\u306e\u9805\u3068\u4f75\u305b\u308b\u3068\u900f\u6e29\u58c1\u304c\u53ef\u52d5\u306a\u5834\u5408\u306f\u3001<\/p>\n<p>$${\\small T&#8217;_1=T&#8217;_2=\\frac{n_1T_1+n_2T_2}{n_1+n_2}}$$<\/p>\n<p>$${\\small V&#8217;_1=\\frac{n_1V_T}{n_1+n_2}}$$<\/p>\n<p>$${\\small V&#8217;_2=\\frac{n_2V_T}{n_1+n_2}}$$<\/p>\n<p>\u3067\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u304c\u6975\u5927\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3053\u3053\u3067\u3001${\\small PV=nRT}$\u3088\u308a<\/p>\n<p>$${\\small P&#8217;_1=\\frac{n_1RT_1}{V&#8217;_1}=RT&#8217;\\frac{n_1+n_2}{V_T}}$$<\/p>\n<p>$${\\small P&#8217;_2=\\frac{n_1RT_2}{V&#8217;R_1}=k_BT&#8217;\\frac{n_1+n_2}{V_T}}$$<\/p>\n<p>\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u306f\u3001\u4e21\u90e8\u5c4b\u306e\u6e29\u5ea6\u3068\u5727\u529b\u304c\u7b49\u3057\u304f\u306a\u308b\u3068\u304d\u306b\u6975\u5927\u306b\u306a\u308b\u3053\u3068\u304c\u78ba\u304b\u3081\u3089\u308c\u307e\u3057\u305f\u3002<\/p>\n<p>\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u5897\u5927\u306e\u6cd5\u5247\u3092\u4f7f\u3063\u3066\u5e73\u8861\u6642\u306e\u6e29\u5ea6\u3068\u4f53\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u3068\u3001\u4e21\u90e8\u5c4b\u306e\u6e29\u5ea6\u304c\u7b49\u3057\u3044\u3001\u4e21\u90e8\u5c4b\u306e\u5727\u529b\u304c\u7b49\u3057\u3044\u3001\u3068\u3044\u3046\u3088\u304f\u898b\u77e5\u3063\u305f\u7d50\u679c\u306b\u306a\u308a\u307e\u3057\u305f\u3002<\/p>\n\n<h2>\u4e8c\u90e8\u5c4b\u3092\u4ed5\u5207\u308b\u65ad\u71b1\u58c1\u304c\u53ef\u52d5\u306a\u7cfb<\/h2>\n<p>\u3053\u3053\u307e\u3067\u306f\u3001\u53f3\u8fba\u7b2c1,2\u9805\u306e\u6e29\u5ea6\u306e\u9805\u3068\u7b2c3,4\u306e\u4f53\u7a4d\u306e\u9805\u304c\u5358\u72ec\u3067\u5909\u5316\u3067\u304d\u308b\u5834\u5408\u3092\u8003\u3048\u3066\u304d\u307e\u3057\u305f\u3002<\/p>\n<p>\u65ad\u71b1\u58c1\u3067\u306f\u81ea\u7531\u306a\u71b1\u79fb\u52d5\u306f\u3067\u304d\u307e\u305b\u3093\u3002<\/p>\n<p>\u3067\u3082\u65ad\u71b1\u58c1\u304c\u52d5\u304f\u3068\u3001\u65ad\u71b1\u81a8\u5f35\u3001\u65ad\u71b1\u5727\u7e2e\u306b\u3088\u3063\u3066\u6e29\u5ea6\u304c\u5909\u5316\u3057\u307e\u3059\u3002<\/p>\n<p>\u305d\u3053\u3067\u3001\u4f53\u7a4d\u3092\u5909\u6570\u306b\u3068\u3063\u3066\u6e29\u5ea6\u306e\u9805\u3068\u4f53\u7a4d\u306e\u9805\u306e\u548c\u304c\u6975\u5927\u306b\u306a\u308b\u5834\u5408\u3092\u63a2\u3057\u3066\u307f\u307e\u3059\u3002<\/p>\n<p>\u305f\u3060\u3001\u554f\u984c\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u6e29\u5ea6\u3092\u4f53\u7a4d\u306e\u95a2\u6570\u3067\u8868\u3057\u305f\u3044\u306e\u3067\u3059\u304c\u3001\u305d\u308c\u304c\u6c7a\u307e\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u3068\u3044\u3046\u3053\u3068\u3067\u3001\u307e\u305a\u306f\u6e96\u9759\u7684\u306b\u5909\u5316\u3055\u305b\u308b\u5834\u5408\u3092\u6271\u3063\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3>\u6e96\u9759\u7684\u306b\u5909\u5316\u3055\u305b\u305f\u5834\u5408<\/h3>\n<p>\u65ad\u71b1\u72b6\u614b\u3067\u306e\u7406\u60f3\u6c17\u4f53\u306e\u4f53\u7a4d\u5909\u5316\u3067\u306f\u3001\u30dd\u30a2\u30bd\u30f3\u306e\u6cd5\u5247${\\small PV^\\gamma=const}$\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\uff08$\\gamma$\u306f\u6bd4\u71b1\u6bd4\uff1a$c_p\/c_v$\uff09\u3002<\/p>\n<p>\u307e\u305f\u3001\u30dd\u30a2\u30bd\u30f3\u306e\u6cd5\u5247\u306f${\\small PV=nRT}$\u3092\u4ee3\u5165\u3057\u3066\u3001${\\small TV^{\\gamma-1}=const}$\u3068\u3082\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n<div class=\"horizontal-scroll\">$$ {\\small \\Delta S=n_1c_v\\log\\frac{T&#8217;_1}{T_1}+n_2c_v \\frac{T&#8217;_2}{T_2}+n_1R\\log\\frac{V&#8217;_1}{V_1}+n_1R\\log\\frac{V&#8217;_2}{V_2}}$$<\/div>\n<p>$R=c_p-c_v$\u3088\u308a<\/p>\n<div class=\"horizontal-scroll\">$$ {\\small \\Delta S=n_1c_v\\log\\frac{T&#8217;_1}{T_1}+n_2c_v \\frac{T&#8217;_2}{T_2}+n_1c_v(\\gamma-1)(\\log\\frac{V&#8217;_1}{V_1}+n_2c_v(\\gamma-1)\\log\\frac{V&#8217;_2}{V_2}}$$<\/div>\n<div class=\"horizontal-scroll\">$$ {\\small =n_1c_v\\log\\frac{T&#8217;_1{V&#8217;_1}^{\\gamma-1}}{T_1{V_1}^{\\gamma-1}}+n_2c_v \\frac{T&#8217;_2{V&#8217;_2}^{\\gamma-1}}{T_2{V_2}^{\\gamma-1}}}$$<\/div>\n<div>\u7b2c1\u9805\u304c\u90e8\u5c4b1\u306e\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u5909\u5316\u3001\u7b2c2\u9805\u304c\u90e8\u5c4b2\u306e\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u5909\u5316\u3067\u3059\u3002<\/div>\n<div><\/div>\n<p>\u3053\u3053\u3067\u3001\u30dd\u30a2\u30bd\u30f3\u306e\u6cd5\u5247\u306b\u3088\u3063\u3066${\\small TV^{\\gamma-1}=const}$\u306a\u306e\u3067\u30011\u9805\u30012\u9805\u3068\u3082\u306b\u30bc\u30ed\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u6e96\u9759\u7684\u306a\u5909\u5316\u3067\u306f\u90e8\u5c4b1\u30012\u3068\u3082\u306b\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u5909\u5316\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u65ad\u71b1\u7cfb\u3067\u306e\u6e96\u9759\u7684\u306a\u5909\u5316\u306a\u306e\u3067\u3001\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u306e\u5b9a\u7fa9\u304b\u3089\u5f53\u7136\u306e\u7d50\u679c\u3067\u3059\u3002<\/p>\n<h3>\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u4fdd\u5b58\u3059\u308b\u5834\u5408<\/h3>\n<p>\u6e96\u9759\u7684\u306b\u5909\u5316\u3055\u305b\u308b\u5834\u5408\u3001\u65ad\u71b1\u58c1\u306b\u5916\u90e8\u304b\u3089\u529b\u3092\uff08\u5727\u529b\u5dee\u306b\u91e3\u308a\u5408\u3046\u3088\u3046\u306b\uff09\u4e0e\u3048\u3066\u5909\u5316\u3055\u305b\u308b\u306e\u3067\u3001\u5916\u90e8\u3068\u4ed5\u4e8b\u306e\u3084\u308a\u3068\u308a\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u7b2c1\u306e\u4f8b\u3001\u7b2c2\u306e\u4f8b\u3067\u306f\u3001\u6e96\u9759\u7684\u3067\u306f\u306a\u304f\u81ea\u7136\u306b\u5909\u5316\u3059\u308b\u5834\u5408\u3092\u8003\u3048\u3066\u304d\u305f\u306e\u3067\u3001\u4eca\u56de\u3082\u540c\u3058\u6761\u4ef6\u3067\u8a08\u7b97\u3057\u3066\u307f\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u5834\u5408\u306f\u5916\u90e8\u3068\u306e\u4ed5\u4e8b\u306e\u3084\u308a\u3068\u308a\u306f\u306a\u304f\u7cfb\u5185\u3067\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n<div class=\"horizontal-scroll\">$$ {\\small \\Delta S=n_1c_v\\log\\frac{t_1}{T_1}+n_2c_v \\log\\frac{n_1T_1+n_2T_2-n_1t_1}{n_2T_2}}$$<\/div>\n<div class=\"horizontal-scroll\">$${\\small +n_1R\\log\\frac{v_1}{V_1}+n_2R\\log\\frac{V_T-v_1}{V_T-V_1}}$$<\/div>\n<p>\u3053\u308c\u307e\u3067\u3068\u540c\u3058\u3088\u3046\u306b\u3001${\\small \\Delta S}$\u3092\u4f53\u7a4d$v_1$\u3067\u5fae\u5206\u3057\u3066\u307f\u307e\u3059\u3002<\/p>\n<p>$t_1$\u306f$v_1$\u306e\u95a2\u6570\u306a\u306e\u3067\u3001$t_1(v_1)$\u3068\u8868\u3057\u3001$t\u2032_1(v_1)$\u3092$v_1$\u3067\u306e\u5fae\u5206\u3068\u3059\u308b\u3068<\/p>\n<div class=\"horizontal-scroll\">$${\\small \\frac{d\\Delta S}{dv_1}=(\\frac{n_1c_v}{t_1(v_1)}-\\frac{n_1n_2c_v}{n_1T_1+n_2T_2-n_1t_1(v_1)})t\u2032(v_1)}$$<\/div>\n<div class=\"horizontal-scroll\">$${\\small +\\frac{n_1k_B}{v_1}-\\frac{n_2k_B}{V_T-v_1}}$$<\/div>\n<p>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u5e73\u8861\u6642\u306e\u4f53\u7a4d${\\small V&#8217;_1}$\u3084\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u5909\u5316${\\small \\Delta S}$\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u95a2\u6570$t_1(v_1)$\u304c\u5fc5\u8981\u306b\u306a\u308b\u306e\u3067\u3001\u3053\u3053\u3067\u306f\u5f53\u7136\u5c0e\u304b\u308c\u308b\u3079\u304d\u7d50\u679c\u3060\u3051\u3092\u307f\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u5e73\u8861\u6642\u306e\u90e8\u5c4b1,2\u306e\u4f53\u7a4d\u3092$V&#8217;_1,V&#8217;_2$\u3001\u6e29\u5ea6\u3092$T&#8217;_1,T&#8217;_2$\u3068\u3059\u308b\u3068<\/p>\n<p>$${\\small \\frac{d\\Delta S}{dv_1}=(\\frac{n_1c_v}{T&#8217;_1}-\\frac{n_1c_v}{T&#8217;_2})t\u2032(V&#8217;_1)+\\frac{n_1R}{V&#8217;_1}-\\frac{n_2R}{V&#8217;_2}}=0$$<\/p>\n<p>\u3053\u3053\u3067\u3001$t\u2032_1(V&#8217;_1)$\u306e\u5024\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u4eca\u306f\u3001${\\small \\frac{d\\Delta S}{dv_1}=0}$\u3068\u306a\u308b$v_1$\u3092\u63a2\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u305d\u3046\u3044\u3048\u3070\u3001\u4f53\u7a4d\u3092\u5909\u3048\u3066\u3082\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u304c\u5909\u5316\u3057\u306a\u3044\u5834\u5408\u306e\u6e29\u5ea6\u3068\u4f53\u7a4d\u306e\u95a2\u4fc2\u306f\u3059\u3067\u306b\u51fa\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u30dd\u30a2\u30bd\u30f3\u306e\u6cd5\u5247${\\small TV^{\\gamma-1}=const}$\u3067\u3059\u3002<\/p>\n<p>\u95a2\u6570$t_1(v_1)$\u306f\u4f53\u7a4d\u306b\u3088\u3063\u3066\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u304c\u5909\u5316\u3057\u307e\u3059\u304c\u3001\u5e73\u8861\u306b\u306a\u3063\u305f\u3068\u304d\u306e\u4f53\u7a4d$V&#8217;_1$\u3067\u306f\u6975\u5024\u306a\u306e\u3067\u5fae\u5c11\u4f53\u7a4d\u5909\u5316\u3067\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u306f\u4e00\u5b9a\u3067\u3059\u3002<\/p>\n<p>\u4f53\u7a4d\u3092dv\u5909\u5316\u3055\u305b\u305f\u3068\u304d\u306e\u6e29\u5ea6\u5909\u5316\u3092dt\u3068\u3059\u308b\u3068<\/p>\n<p>$${\\small T&#8217;_1{V&#8217;_1}^{\\gamma-1}=(T&#8217;_1+dt)(V&#8217;_1+dv)^{\\gamma-1}}$$<\/p>\n<p>\u304c\u6210\u308a\u7acb\u3063\u3066\u3044\u308b\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/p>\n<p>\u3088\u3063\u3066\u3001\u5e73\u8861\u6642\u306e\u4f53\u7a4d$V&#8217;_1$\u306e\u5834\u5408\u306f<\/p>\n<p>$${\\small t\u2032(V&#8217;_1)=-\\frac{(\\gamma-1)T&#8217;_1}{V&#8217;_1}}$$<\/p>\n<p>\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n<p>\u3053\u308c\u3092\u4ee3\u5165\u3059\u308b\u3068<\/p>\n<p>$${\\small -(\\frac{n_1c_v}{T&#8217;_1}-\\frac{n_1c_v}{T&#8217;_2})\\frac{(\\gamma-1)T&#8217;_1}{V&#8217;_1}+\\frac{n_1R}{V&#8217;_1}-\\frac{n_2R}{V&#8217;_2}=0}$$<\/p>\n<p>$${\\small (\\frac{1}{T&#8217;_2}-\\frac{1}{T&#8217;_1})\\frac{RT&#8217;_1}{V&#8217;_1}+\\frac{n_1k_B}{V&#8217;_1}-\\frac{n_2k_B}{V&#8217;_2}=0}$$<\/p>\n<p>\u5e73\u8861\u6642\u306e\u90e8\u5c4b1\u30012\u306e\u5727\u529b\u3092$P&#8217;_1,P&#8217;_2$\u3068\u3059\u308b\u3068<\/p>\n<p>$${\\small (\\frac{1}{T&#8217;_2}-\\frac{1}{T&#8217;_1})P&#8217;_1+\\frac{P&#8217;_1}{T&#8217;_1}-\\frac{P&#8217;_2}{T&#8217;_2}=0}$$<\/p>\n<p>\u3088\u3063\u3066\u3001<\/p>\n<p>$${\\small P&#8217;_1=P&#8217;_2}$$<\/p>\n<p>\u4e21\u65b9\u306e\u90e8\u5c4b\u306e\u5727\u529b\u304c\u7b49\u3057\u3044\u3068\u304d\u306b\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u304c\u6700\u5927\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>\u7b54\u3048\u304c\u6c7a\u307e\u3089\u306a\u3044\u306e\u306f\u306a\u305c\uff1f<\/h3>\n<p>$t_1$\u3068$v_1$\u306e\u95a2\u4fc2\u304c\u6c7a\u307e\u3089\u306a\u3044\u3053\u3068\u304c\u4e0d\u601d\u8b70\u306a\u65b9\u3082\u3044\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002<\/p>\n<p>\u305d\u3053\u3067\u3001\u3061\u3087\u3063\u3068\u529b\u5b66\u7684\u306b\u8003\u3048\u3066\u307f\u307e\u3059\u3002<\/p>\n<p>\u529b\u5b66\u7684\u306b\u306f\u300c\u90e8\u5c4b\uff11\u3068\uff12\u306e\u5727\u529b\u5dee\u306b\u3088\u3063\u3066\u65ad\u71b1\u58c1\u304c\u52d5\u304f\u300d\u73fe\u8c61\u3067\u3059\u3002<\/p>\n<p>\u305d\u3057\u3066\u3001\u90e8\u5c4b1\u3068\u90e8\u5c4b2\u306e\u5727\u529b\u306f\u3001\u30dd\u30a2\u30bd\u30f3\u306e\u6cd5\u5247\u3067\u6c7a\u307e\u308a\u307e\u3059\u3002<\/p>\n<p>\u6469\u64e6\u304c\u306a\u3044\u3068\u3059\u308c\u3070\u3001\u3053\u306e\u6761\u4ef6\u3067\u306e\u529b\u5b66\u7684\u306a\u6319\u52d5\u306f\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u65ad\u71b1\u58c1\u304c\u505c\u6b62\u3057\u3066\u3044\u308b\u306e\u304c\u521d\u671f\u6761\u4ef6\u3067\u3059\u3002<\/p>\n<p>\u305d\u3053\u304b\u3089\u5727\u529b\u5dee\u306b\u3088\u3063\u3066\u3001\u5727\u529b\u304c\u4f4e\u3044\u65b9\u304b\u3089\u9ad8\u3044\u65b9\u3078\u52a0\u901f\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u5727\u529b\u5dee\u304c\u306a\u304f\u306a\u308b\u5834\u6240\u3067\u65ad\u71b1\u58c1\u306e\u901f\u5ea6\u304c\u6700\u5927\u306b\u306a\u308a\u3001\u305d\u306e\u5f8c\u306f\u901f\u5ea6\u304c\u843d\u3061\u3066\u305d\u306e\u3046\u3061\u505c\u6b62\u3057\u307e\u3059\u3002<\/p>\n<p>\u305d\u3057\u3066\u4eca\u5ea6\u306f\u9006\u65b9\u5411\u306b\u52d5\u304d\u59cb\u3081\u307e\u3059\u3002<\/p>\n<p><strong><span class=\"line-blue\">\u300c\u5727\u529b\u5dee\u306e\u3042\u308b\u72b6\u614b\u304b\u3089\u30b9\u30bf\u30fc\u30c8\u3059\u308b\u3068\u65ad\u71b1\u58c1\u304c\u5de6\u53f3\u306b\u632f\u52d5\u3057\u7d9a\u3051\u308b\u300d<\/span><\/strong><\/p>\n<p>\u3053\u308c\u304c\u529b\u5b66\u7684\u306a\u7d50\u679c\u3067\u3059\u3002<\/p>\n<p>\u3053\u306e\u3068\u304d\u3001\u7cfb\u5185\u3067\u306f\u65ad\u71b1\u58c1\u306e\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u52a0\u3048\u305f\u5168\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u4fdd\u5b58\u3057\u307e\u3059\u3002<\/p>\n<p>\u3067\u3082\u5b9f\u969b\u306b\u306f\u3001\u65ad\u71b1\u58c1\u306e\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u71b1\u306b\u5909\u63db\u3057\u3066\u505c\u6b62\u3057\u307e\u3059\u3002<\/p>\n<p>\u5909\u63db\u3055\u308c\u305f\u71b1\u91cf\u306f\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3067\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u3067\u3082\u3001\u305d\u306e\u71b1\u304c\u90e8\u5c4b\uff11\u3068\u90e8\u5c4b\uff12\u306b\u3069\u306e\u3088\u3046\u306b\u914d\u5206\u3055\u308c\u308b\u306e\u304b\u3001\u305d\u308c\u304c\u308f\u304b\u3089\u306a\u3044\u306e\u3067\u3059\u3002<\/p>\n<h2>\u7406\u60f3\u6c17\u4f53\u306e\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u5909\u5316\u307e\u3068\u3081<\/h2>\n<p>\u3068\u308a\u3042\u3048\u305a\u3001\u4e8c\u3064\u306e\u90e8\u5c4b\u306b\u5165\u3063\u305f\u7406\u60f3\u6c17\u4f53\u306e\u5909\u5316\u3092\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u3067\u8a08\u7b97\u3057\u3066\u307f\u307e\u3057\u305f\u3002<\/p>\n<p>\u300c\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u304c\u5927\u304d\u304f\u306a\u308b\u3088\u3046\u306b\u5909\u5316\u3059\u308b\u300d\u3068\u3044\u3046\u524d\u63d0\u304b\u3089<\/p>\n<ul style=\"list-style-type: disc;\">\n<li>\u6e29\u5ea6\u304c\u540c\u3058\u306b\u306a\u308b\u3088\u3046\u306b\u5909\u5316\u3059\u308b<\/li>\n<li>\u5727\u529b\u304c\u540c\u3058\u306b\u306a\u308b\u3088\u3046\u306b\u5909\u5316\u3059\u308b<\/li>\n<\/ul>\n<p>\u3068\u3044\u3046\u7d50\u679c\u304c\u5f97\u3089\u308c\u307e\u3057\u305f\u3002<\/p>\n<p>\u5f53\u305f\u308a\u524d\u3060\u3068\u8a00\u308f\u308c\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u304c\u3001\u5358\u7d14\u306a\u7cfb\u3067\u306f\u5f53\u7136\u306e\u7d50\u679c\u3057\u304b\u5f97\u3089\u308c\u306a\u3044\u306e\u306f\u4ed5\u65b9\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u3068\u3044\u3046\u3088\u308a\u4ed6\u306e\u7d50\u679c\u304c\u51fa\u3066\u304f\u308b\u306f\u305a\u304c\u306a\u3044\u306e\u3067\u3059\u3002<\/p>\n<p>\u3067\u3082\u5f53\u305f\u308a\u524d\u306e\u7d50\u679c\u3060\u304b\u3089\u3053\u305d\u3001\u5b9f\u9a13\u5024\u3068\u6bd4\u8f03\u3057\u306a\u304f\u3066\u3082\u8a08\u7b97\u7d50\u679c\u304c\u6b63\u3057\u3044\u3053\u3068\u304c\u308f\u304b\u308b\u3068\u3044\u3046\u5229\u70b9\u306f\u3042\u308a\u307e\u3059\u306d\u3002<\/p>\n<p><a href=\"https:\/\/tbits.jp\/plus\/entropy-calculation\/\">\u226b\u30e2\u30eb\u6570\uff08\u5206\u5b50\u6570\uff09\u3092\u5909\u6570\u306b\u3057\u305f\u7406\u60f3\u6c17\u4f53\u306e\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u306e\u6c42\u3081\u65b9\u3078<\/a><\/p>\n\n","protected":false},"excerpt":{"rendered":"<p>\u71b1\u529b\u5b66\u3092\u5b66\u307c\u3046\u3068\u3057\u3066\u3082\u3001\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u3063\u3066\u4e00\u4f53\u4f55\u306a\u3093\u3060\uff1f\u3000\u3068\u3088\u304f\u308f\u304b\u3089\u306a\u3044\u3068\u3044\u3046\u4eba\u3082\u591a\u3044\u3068\u601d\u3044\u307e\u3059\u3002 \u305d\u3093\u306a\u3068\u304d\u3001\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u3063\u3066\u3053\u3046\u3044\u3046\u3082\u306e\u3060\u3088\u3068\u8aac\u660e\u3059\u308b\u3088\u308a\u3001\u3068\u308a\u3042\u3048\u305a\u8a08\u7b97\u3057\u3066\u307f\u308b\u3068\u3044\u3046\u306e\u3082\u4e00\u3064\u306e\u624b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002 \u305d [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":162,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","footnotes":""},"categories":[2],"tags":[],"class_list":["post-15","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-thermodynamics"],"jetpack_featured_media_url":"https:\/\/tbits.jp\/plus\/wp-content\/uploads\/2020\/06\/4583b0c6b35cdcd49d780ff6d3f7d380.jpg","_links":{"self":[{"href":"https:\/\/tbits.jp\/plus\/wp-json\/wp\/v2\/posts\/15","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/tbits.jp\/plus\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tbits.jp\/plus\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tbits.jp\/plus\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/tbits.jp\/plus\/wp-json\/wp\/v2\/comments?post=15"}],"version-history":[{"count":113,"href":"https:\/\/tbits.jp\/plus\/wp-json\/wp\/v2\/posts\/15\/revisions"}],"predecessor-version":[{"id":296,"href":"https:\/\/tbits.jp\/plus\/wp-json\/wp\/v2\/posts\/15\/revisions\/296"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/tbits.jp\/plus\/wp-json\/wp\/v2\/media\/162"}],"wp:attachment":[{"href":"https:\/\/tbits.jp\/plus\/wp-json\/wp\/v2\/media?parent=15"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tbits.jp\/plus\/wp-json\/wp\/v2\/categories?post=15"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tbits.jp\/plus\/wp-json\/wp\/v2\/tags?post=15"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}