{"id":34755,"date":"2021-06-18T13:00:14","date_gmt":"2021-06-18T13:00:14","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=34755"},"modified":"2025-09-20T08:07:25","modified_gmt":"2025-09-20T08:07:25","slug":"%e7%8a%b6%e6%85%8b%e6%96%b9%e7%a8%8b%e5%bc%8f%e3%81%a8%e7%8a%b6%e6%85%8b%e9%96%a2%e6%95%b0","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/ja\/%e7%8a%b6%e6%85%8b%e6%96%b9%e7%a8%8b%e5%bc%8f%e3%81%a8%e7%8a%b6%e6%85%8b%e9%96%a2%e6%95%b0\/","title":{"rendered":"\u72b6\u614b\u65b9\u7a0b\u5f0f\u3068\u72b6\u614b\u95a2\u6570"},"content":{"rendered":"<style>\n\tp, ul, ol {\n\t\ttext-align: justify;\n\t}\n\th1, h2 {\n\ttext-align:center;\n\t}\n<\/style>\n<h1>\u72b6\u614b\u65b9\u7a0b\u5f0f\u3068\u72b6\u614b\u95a2\u6570<\/h1>\n<p style=\"text-align:center;\"><em>\u71b1\u529b\u5b66\u306f\u3001\u95a2\u6570\u3084\u72b6\u614b\u65b9\u7a0b\u5f0f\u3068\u3044\u3063\u305f\u6982\u5ff5\u3092\u901a\u3058\u3066\u3001\u7cfb\u306e\u72b6\u614b\u3092\u3069\u306e\u3088\u3046\u306b\u8a18\u8ff0\u3057\u3001\u7d50\u3073\u3064\u3051\u308b\u304b\u3092\u793a\u3057\u3066\u304f\u308c\u307e\u3059\u3002\u5727\u529b\u3001\u6e29\u5ea6\u3001\u7406\u60f3\u6c17\u4f53\u306e\u72b6\u614b\u65b9\u7a0b\u5f0f\u3068\u3044\u3063\u305f\u7279\u6027\u306f\u3069\u306e\u3088\u3046\u306b\u95a2\u4fc2\u3057\u3066\u3044\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u672c\u5185\u5bb9\u306f\u3001\u5b87\u5b99\u306e\u5e73\u8861\u3092\u652f\u914d\u3059\u308b\u6570\u5b66\u7684\u304a\u3088\u3073\u7269\u7406\u7684\u898f\u5247\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u5c0e\u304d\u3001\u76f4\u611f\u306b\u6311\u6226\u3057\u3001\u8996\u91ce\u3092\u5e83\u3052\u308b\u3082\u306e\u3067\u3059\u3002<\/em><\/p>\n<p style=\"text-align:center;\"><strong>\u5b66\u7fd2\u76ee\u6a19:<\/strong><br \/>\n\u3053\u306e\u6388\u696d\u3092\u7d42\u3048\u308b\u3068\u3001\u5b66\u751f\u306f\u6b21\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ol>\n<li><strong>\u8aac\u660e\u3059\u308b<\/strong> \u72b6\u614b\u95a2\u6570\u306e\u6982\u5ff5\u3068\u3001\u71b1\u529b\u5b66\u7cfb\u306b\u304a\u3051\u308b\u71b1\u5e73\u8861\u3068\u306e\u95a2\u4fc2\u3002<\/li>\n<li><strong>\u533a\u5225\u3059\u308b<\/strong> \u72b6\u614b\u95a2\u6570\u3068\u72b6\u614b\u95a2\u6570\u3067\u306a\u3044\u91cf\u3092\u3001\u4e21\u8005\u306e\u5177\u4f53\u7684\u306a\u4f8b\u3092\u6319\u3052\u3066\u8b58\u5225\u3059\u308b\u3002<\/li>\n<li><strong>\u5206\u6790\u3059\u308b<\/strong> \u7406\u60f3\u6c17\u4f53\u306e\u72b6\u614b\u65b9\u7a0b\u5f0f\u306e\u3088\u3046\u306a\u72b6\u614b\u65b9\u7a0b\u5f0f\u304c\u3001\u5e73\u8861\u72b6\u614b\u306b\u3042\u308b\u7cfb\u306b\u304a\u3044\u3066\u72b6\u614b\u95a2\u6570\u3092\u3069\u306e\u3088\u3046\u306b\u7d50\u3073\u3064\u3051\u308b\u304b\u3002<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><strong><u>\u76ee\u6b21<\/u>:<\/strong><br \/>\n<a href=\"#1\">\u72b6\u614b\u95a2\u6570\u3068\u7cfb\u304a\u3088\u3073\u71b1\u5e73\u8861<\/a><br \/>\n<a href=\"#2\">\u72b6\u614b\u65b9\u7a0b\u5f0f\u3068\u72b6\u614b\u5909\u6570<\/a><br \/>\n<a href=\"#3\">\u72b6\u614b\u95a2\u6570\u306e\u6570\u5b66\u7684\u6982\u5ff5<\/a><br \/>\n<a href=\"#4\">\u7406\u60f3\u6c17\u4f53\u306e\u72b6\u614b\u65b9\u7a0b\u5f0f\u306f\u72b6\u614b\u65b9\u7a0b\u5f0f\u3067\u3042\u308b<\/a>\n<\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/ZXX3KAS5WKs\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<p>\u53e4\u5178\u71b1\u529b\u5b66\u306e\u4e3b\u8981\u306a\u6982\u5ff5\u306e\u4e00\u3064\u306f\u3001\u72b6\u614b\u65b9\u7a0b\u5f0f\u3068\u72b6\u614b\u95a2\u6570\u3067\u3059\u3002\u3053\u308c\u3089\u3092\u901a\u3058\u3066\u3001\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u71b1\u529b\u5b66\u7684\u5e73\u8861\u306b\u3042\u308b\u7cfb\u306e\u72b6\u614b\u3092\u8a18\u8ff0\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u72b6\u614b\u95a2\u6570\u3001\u7cfb\u304a\u3088\u3073\u71b1\u5e73\u8861<\/h2>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=ZXX3KAS5WKs&amp;t=115s\" target=\"_blank\" rel=\"noopener\"><strong>\u71b1\u529b\u5b66\u306b\u304a\u3044\u3066\u7cfb\u306f\u5b9a\u7fa9\u3055\u308c\u308b<\/strong><\/a>\u306e\u306f\u3001\u7814\u7a76\u306e\u5bfe\u8c61\u3068\u3057\u3066\u9078\u3070\u308c\u305f\u5b87\u5b99\u306e\u4e00\u90e8\u5206\u3067\u3042\u308a\u3001\u305d\u306e\u7cfb\u306e\u8fd1\u304f\u306b\u306f\u74b0\u5883\u304c\u3042\u308a\u307e\u3059\u3002\u7cfb\u304c\u305d\u306e\u74b0\u5883\u3068\u71b1\u5e73\u8861\u306b\u3042\u308b\u3068\u306f\u3001\u5de8\u8996\u7684\u306a\u89b3\u6e2c\u91cf\uff08\u4f8b\uff1a\u5727\u529b\u3001\u6e29\u5ea6\uff09\u304c\u6642\u9593\u3068\u3068\u3082\u306b\u4e0d\u5909\u3067\u3042\u308b\u5834\u5408\u3092\u6307\u3057\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u5bb9\u5668\u5185\u306e\u6c17\u4f53\u3092\u53d6\u308a\u3001\u305d\u306e\u6e29\u5ea6\u304c\u6642\u9593\u3068\u3068\u3082\u306b\u5b89\u5b9a\u3057\u3066\u3044\u308b\u306a\u3089\u3070\u3001\u305d\u306e\u6c17\u4f53\u306f\u71b1\u529b\u5b66\u7684\u5e73\u8861\u306b\u3042\u308b\u3068\u8a00\u3044\u3001\u305d\u306e\u5de8\u8996\u7684\u89b3\u6e2c\u91cf\u306e\u96c6\u5408\u304c<strong>\u305d\u306e\u72b6\u614b\u3092\u6c7a\u5b9a\u3059\u308b<\/strong>\u306e\u3067\u3059\u3002\u9006\u306b\u3001\u5bb9\u5668\u306e\u3042\u308b\u90e8\u5206\u306b\u5927\u91cf\u306e\u71b1\u304c\u7a81\u7136\u52a0\u3048\u3089\u308c\u305f\u5834\u5408\u3001\u5c11\u306a\u304f\u3068\u3082\u4e00\u5b9a\u6642\u9593\u306e\u9593\u306f\u3001\u305d\u306e\u6c17\u4f53\u306f\u71b1\u5e73\u8861\u3068\u306f\u7570\u306a\u308b\u72b6\u614b\u306b\u3042\u308a\u3001\u305d\u306e\u72b6\u614b\u306f\u6642\u9593\u3068\u3068\u3082\u306b\u5909\u5316\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u72b6\u614b\u65b9\u7a0b\u5f0f\u3068\u72b6\u614b\u5909\u6570<\/h2>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=ZXX3KAS5WKs&amp;t=115s\" target=\"_blank\" rel=\"noopener\"><strong>\u7cfb\u304c\u71b1\u5e73\u8861\u306b\u3042\u308b\u3068\u304d<\/strong><\/a>\u3001\u4e8c\u7a2e\u985e\u306e\u91cf\u3092\u8a8d\u8b58\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3072\u3068\u3064\u306f\u3001\u305d\u306e\u7cfb\u304c\u3069\u306e\u3088\u3046\u306b\u3057\u3066\u305d\u306e\u5e73\u8861\u306b\u5230\u9054\u3057\u305f\u304b\u306b\u4f9d\u5b58\u3059\u308b\u91cf\u3067\u3042\u308a\u3001\u3082\u3046\u3072\u3068\u3064\u306f\u305d\u306e\u904e\u7a0b\u306b\u4f9d\u5b58\u3057\u306a\u3044\u91cf\u3067\u3059\u3002\u3053\u306e\u5f8c\u8005\u306b\u5c5e\u3059\u308b\u3082\u306e\u3092<strong>\u72b6\u614b\u95a2\u6570<\/strong>\uff08\u6642\u306b\u306f<strong>\u72b6\u614b\u5909\u6570<\/strong>\u3068\u3082\u547c\u3070\u308c\u308b\uff09\u3068\u3044\u3044\u307e\u3059\u3002\u72b6\u614b\u95a2\u6570\u3068\u306f\u3001\u7cfb\u306e\u5404\u5e73\u8861\u72b6\u614b\u306b\u5bfe\u3057\u3066\u660e\u78ba\u306b\u5b9a\u7fa9\u3055\u308c\u305f\u5024\u3092\u6301\u3064\u4efb\u610f\u306e\u7269\u7406\u91cf\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u71b1\u5e73\u8861\u306b\u304a\u3044\u3066\u3053\u308c\u3089\u306e\u5909\u6570\u306f\u6642\u9593\u306b\u4f9d\u5b58\u3057\u307e\u305b\u3093\u3002\u3044\u304f\u3064\u304b\u306e\u4f8b\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3059\uff1a<\/p>\n<ul>\n<li>\u5727\u529b<\/li>\n<li>\u6e29\u5ea6<\/li>\n<li>\u4f53\u7a4d<\/li>\n<li>\u5185\u90e8\u30a8\u30cd\u30eb\u30ae\u30fc<\/li>\n<\/ul>\n<p>\u72b6\u614b\u95a2\u6570\u3067\u306f\u306a\u3044\u91cf\u306e\u4f8b\u3068\u3057\u3066\u306f\u3001\u7cfb\u306e\u4f55\u5341\u4e07\u756a\u76ee\u306e\u7c92\u5b50\u306e\u4f4d\u7f6e\u3001\u7cfb\u306b\u52a0\u3048\u3089\u308c\u305f\u4ed5\u4e8b\u3084\u7dcf\u71b1\u91cf\u306a\u3069\u304c\u3042\u308a\u307e\u3059\u3002\u5f8c\u8005\u306b\u3064\u3044\u3066\u306f\u76f4\u611f\u7684\u306b\u7406\u89e3\u3067\u304d\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u4e21\u624b\u3092\u3053\u3059\u308a\u5408\u308f\u305b\u3066\u4e00\u5b9a\u91cf\u306e\u4ed5\u4e8b\u3092\u52a0\u3048\u308b\u304b\u3001\u307e\u305f\u306f\u624b\u3092\u306c\u308b\u307e\u6e6f\u306b\u5165\u308c\u3066\u71b1\u3092\u52a0\u3048\u308b\u304b\u3001\u3044\u305a\u308c\u306e\u904e\u7a0b\u3067\u3082\u624b\u306f\u540c\u3058\u6e29\u5ea6\uff08\u3057\u305f\u304c\u3063\u3066\u540c\u3058\u72b6\u614b\uff09\u306b\u9054\u3059\u308b\u306e\u3067\u3059\u3002<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u72b6\u614b\u95a2\u6570\u306e\u6570\u5b66\u7684\u6982\u5ff5<\/h2>\n<p>\u3053\u308c\u3089\u306e\u76f4\u611f\u7684\u306a\u8003\u3048\u3092\u8e0f\u307e\u3048\u3066\u3001\u3088\u308a\u5b8c\u5168\u306a\u7406\u89e3\u3092\u5f97\u308b\u305f\u3081\u306b\u306f\u3001\u72b6\u614b\u95a2\u6570\u306e\u80cc\u5f8c\u306b\u3042\u308b\u610f\u5473\u306b\u3064\u3044\u3066\u3001\u3088\u308a\u6570\u5b66\u7684\u306a\u5c55\u958b\u304c\u5fc5\u8981\u3067\u3059\u3002\u7cfb\u3092\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u30d9\u30af\u30c8\u30eb <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{x}=(x_1, x_2, x_3, \\cdots)<\/span> \u306b\u3088\u3063\u3066\u8a18\u8ff0\u3055\u308c\u308b\u3082\u306e\u3068\u3057\u3001<span class=\"katex-eq\" data-katex-display=\"false\">f(\\vec{x})<\/span> \u3092\u3042\u308b\u72b6\u614b\u95a2\u6570\u3068\u3057\u307e\u3059\u3002\u3059\u308b\u3068\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u7cfb\u304c\u521d\u671f\u5024 <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{x}_i<\/span> \u304b\u3089\u6700\u7d42\u5024 <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{x}_f<\/span> \u306b\u5909\u5316\u3059\u308b\u3068\u304d\u3001\u95a2\u6570 <span class=\"katex-eq\" data-katex-display=\"false\">f<\/span> \u306e\u5909\u5316\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Delta f = \\displaystyle \\int_{\\vec{x}_i}^{\\vec{x}_f}df = f(\\vec{x}_f) - f(\\vec{x}_i)<\/span>\n<p>\u3053\u306e\u3088\u3046\u306b\u4e8b\u304c\u9032\u3080\u5834\u5408\u3001\u72b6\u614b\u95a2\u6570\u306e\u5909\u5316\u306f <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{x}<\/span> \u306e\u521d\u671f\u5024\u3068\u6700\u7d42\u5024\u306b\u306e\u307f\u4f9d\u5b58\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u91cf <span class=\"katex-eq\" data-katex-display=\"false\">df<\/span> \u304c<strong>\u5b8c\u5168\u5fae\u5206<\/strong>\u3067\u3042\u308b\u3068\u304d\u306b\u6210\u7acb\u3057\u307e\u3059\u3002\u3059\u3079\u3066\u306e\u72b6\u614b\u95a2\u6570\u306f\u5b8c\u5168\u5fae\u5206\u3092\u6301\u3061\u3001\u9006\u306b\u3001\u5fae\u5206\u304c\u5b8c\u5168\u3067\u306a\u3044\u91cf\u306f\u72b6\u614b\u95a2\u6570\u3067\u3042\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002<\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h2>\u7406\u60f3\u6c17\u4f53\u306e\u72b6\u614b\u65b9\u7a0b\u5f0f\u306f\u72b6\u614b\u65b9\u7a0b\u5f0f\u3067\u3042\u308b<\/h2>\n<p>\u4e00\u822c\u306b\u3001\u5c11\u306a\u304f\u3068\u3082\u8fd1\u4f3c\u7684\u306b\u306f\u3001\u72b6\u614b\u95a2\u6570\u3092\u7d50\u3073\u3064\u3051\u308b\u72b6\u614b\u65b9\u7a0b\u5f0f\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u5e38\u306b\u53ef\u80fd\u3067\u3059\u3002\u305d\u306e\u4e00\u4f8b\u304c<a href=\"https:\/\/toposuranos.com\/la-ecuacion-de-los-gases-ideales\/\" rel=\"noopener\" target=\"_blank\">\u7406\u60f3\u6c17\u4f53\u306e\u72b6\u614b\u65b9\u7a0b\u5f0f<\/a> <span class=\"katex-eq\" data-katex-display=\"false\">f(P,V,T)=0<\/span> \u3067\u3042\u308a\u3001\u305d\u306e\u5f62\u306f\u6b21\u306e\u901a\u308a\u3067\u3059\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">f(P,V,T) = PV - nRT = 0<\/span>\n","protected":false},"excerpt":{"rendered":"<p>\u72b6\u614b\u65b9\u7a0b\u5f0f\u3068\u72b6\u614b\u95a2\u6570 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