{"id":507,"date":"2018-04-13T23:38:42","date_gmt":"2018-04-14T06:38:42","guid":{"rendered":"https:\/\/sites.evergreen.edu\/thermo1718\/?page_id=507"},"modified":"2018-04-13T23:38:42","modified_gmt":"2018-04-14T06:38:42","slug":"reading-response-week-13","status":"publish","type":"page","link":"https:\/\/sites.evergreen.edu\/thermo1718\/reading-response-week-13\/","title":{"rendered":"Reading Response, Week 13"},"content":{"rendered":"<div class=\"frm_forms  with_frm_style frm_style_formidable-style\" id=\"frm_form_23_container\" >\n<form enctype=\"multipart\/form-data\" method=\"post\" class=\"frm-show-form  frm_pro_form \" id=\"form_70ed322222222222\"  >\n<div class=\"frm_form_fields \">\n<fieldset>\n<legend class=\"frm_hidden\">Reading Response - Week 13<\/legend>\n<h3 class=\"frm_form_title\">Reading Response - Week 13<\/h3>\n<div class=\"frm_fields_container\">\n<input type=\"hidden\" name=\"frm_action\" value=\"create\" \/>\n<input type=\"hidden\" name=\"form_id\" value=\"23\" \/>\n<input type=\"hidden\" name=\"frm_hide_fields_23\" id=\"frm_hide_fields_23\" value=\"\" \/>\n<input type=\"hidden\" name=\"form_key\" value=\"70ed322222222222\" \/>\n<input type=\"hidden\" name=\"item_meta[0]\" value=\"\" \/>\n<input type=\"hidden\" id=\"frm_submit_entry_23\" name=\"frm_submit_entry_23\" value=\"da3b4a653b\" \/><input type=\"hidden\" name=\"_wp_http_referer\" value=\"\/thermo1718\/wp-json\/wp\/v2\/pages\/507\" \/><div id=\"frm_field_285_container\" class=\"frm_form_field form-field  frm_required_field frm_top_container\">\n    <label for=\"field_ruvfe333332\" class=\"frm_primary_label\">Last Name, First Name\n        <span class=\"frm_required\">*<\/span>\n    <\/label>\n    <input type=\"text\" id=\"field_ruvfe333332\" name=\"item_meta[285]\" value=\"\"  data-reqmsg=\"This field cannot be blank.\" aria-required=\"true\" data-invmsg=\"Last Name, First Name is invalid\" aria-invalid=\"false\"  \/>\n    \n    \n<\/div>\n<div id=\"frm_field_286_container\" class=\"frm_form_field form-field  frm_required_field frm_top_container\">\n    <label for=\"field_dmsrp333332\" class=\"frm_primary_label\">email\n        <span class=\"frm_required\">*<\/span>\n    <\/label>\n    <input type=\"text\" id=\"field_dmsrp333332\" name=\"item_meta[286]\" value=\"\"  data-reqmsg=\"This field cannot be blank.\" aria-required=\"true\" data-invmsg=\"email is invalid\" aria-invalid=\"false\"  \/>\n    \n    \n<\/div>\n<div id=\"frm_field_287_container\" class=\"frm_form_field form-field  frm_top_container\">\n    <label for=\"field_snr0q333332\" class=\"frm_primary_label\">1: The partition factor associated with the rotation of diatomic molecules is given in eq. (6.30). The energy that goes into the Boltzmann factor is given in eq. (6.29); note that the rotational energy levels are quantized. In eq. (6.30) there is a factor of (2j +1); where did this factor come from?\n        <span class=\"frm_required\"><\/span>\n    <\/label>\n    <textarea name=\"item_meta[287]\" id=\"field_snr0q333332\" rows=\"5\"  data-invmsg=\"1: The partition factor associated with the rotation of diatomic molecules is given in eq. (6.30). The energy that goes into the Boltzmann factor is given in eq. (6.29); note that the rotational energy levels are quantized. In eq. (6.30) there is a factor of (2j +1); where did this factor come from? is invalid\" aria-invalid=\"false\"  ><\/textarea>\n    \n    \n<\/div>\n<div id=\"frm_field_288_container\" class=\"frm_form_field form-field  frm_top_container\">\n    <label for=\"field_nag0y333332\" class=\"frm_primary_label\">2: Look at the derivation of the equipartition theorem shown in section 6.3. What parts of this derivation would you like to go over in class?\n        <span class=\"frm_required\"><\/span>\n    <\/label>\n    <textarea name=\"item_meta[288]\" id=\"field_nag0y333332\" rows=\"5\"  data-invmsg=\"2: Look at the derivation of the equipartition theorem shown in section 6.3. What parts of this derivation would you like to go over in class? is invalid\" aria-invalid=\"false\"  ><\/textarea>\n    \n    \n<\/div>\n<div id=\"frm_field_289_container\" class=\"frm_form_field form-field  frm_top_container\">\n    <label for=\"field_c9ic6333332\" class=\"frm_primary_label\">3: Why does the equipartition theorem fail for quantum mechanical systems at low temperature?\n        <span class=\"frm_required\"><\/span>\n    <\/label>\n    <textarea name=\"item_meta[289]\" id=\"field_c9ic6333332\" rows=\"5\"  data-invmsg=\"3: Why does the equipartition theorem fail for quantum mechanical systems at low temperature? is invalid\" aria-invalid=\"false\"  ><\/textarea>\n    \n    \n<\/div>\n<div id=\"frm_field_290_container\" class=\"frm_form_field form-field  frm_top_container\">\n    <label for=\"field_nkptg333332\" class=\"frm_primary_label\">4: Why is the probability finding a molecule <em>at<\/em> any given speed equal to zero?\n        <span class=\"frm_required\"><\/span>\n    <\/label>\n    <textarea name=\"item_meta[290]\" id=\"field_nkptg333332\" rows=\"5\"  data-invmsg=\"4: Why is the probability finding a molecule &lt;em&gt;at&lt;\/em&gt; any given speed equal to zero? is invalid\" aria-invalid=\"false\"  ><\/textarea>\n    \n    \n<\/div>\n<div id=\"frm_field_291_container\" class=\"frm_form_field form-field  frm_top_container\">\n    <label for=\"field_nayzt33332\" class=\"frm_primary_label\">5: Eq. (6.45) is essentially the Boltzmann factor, and indicates that the most probable <em>velocity<\/em> is zero. This makes sense, since for finite positive temperatures, the most probable energy is the lowest energy. For translational kinetic energy, that lowest energy is zero. So why isn't the most probable <em>speed<\/em> also equal to zero?\n        <span class=\"frm_required\"><\/span>\n    <\/label>\n    <textarea name=\"item_meta[291]\" id=\"field_nayzt33332\" rows=\"5\"  data-invmsg=\"5: Eq. (6.45) is essentially the Boltzmann factor, and indicates that the most probable &lt;em&gt;velocity&lt;\/em&gt; is zero. This makes sense, since for finite positive temperatures, the most probable energy is the lowest energy. For translational kinetic energy, that lowest energy is zero. So why isn&#039;t the most probable &lt;em&gt;speed&lt;\/em&gt; also equal to zero? is invalid\" aria-invalid=\"false\"  ><\/textarea>\n    \n    \n<\/div>\n<div id=\"frm_field_292_container\" class=\"frm_form_field form-field  frm_top_container\">\n    <label for=\"field_vuf2p3\" class=\"frm_primary_label\">6: Consider eq. (6.50), the Maxwell (speed) distribution, which we can consider as consisting of three parts: (i) the part in parenthesis that is raised to the 3\/2 power; (ii) the 4\u03c0v term; and (iii) the exponential term. What does each term do\/correspond to\/represent physically?\n        <span class=\"frm_required\"><\/span>\n    <\/label>\n    <textarea name=\"item_meta[292]\" id=\"field_vuf2p3\" rows=\"5\"  data-invmsg=\"6: Consider eq. (6.50), the Maxwell (speed) distribution, which we can consider as consisting of three parts: (i) the part in parenthesis that is raised to the 3\/2 power; (ii) the 4\u03c0v term; and (iii) the exponential term. What does each term do\/correspond to\/represent physically? is invalid\" aria-invalid=\"false\"  ><\/textarea>\n    \n    \n<\/div>\n<div id=\"frm_field_293_container\" class=\"frm_form_field form-field  frm_top_container\">\n    <label for=\"field_kqp383\" class=\"frm_primary_label\">7: How can you relate the Helmholtz free energy F to the partition factor Z? Why is this formula useful?\n        <span class=\"frm_required\"><\/span>\n    <\/label>\n    <textarea name=\"item_meta[293]\" id=\"field_kqp383\" rows=\"5\"  data-invmsg=\"7: How can you relate the Helmholtz free energy F to the partition factor Z? Why is this formula useful? is invalid\" aria-invalid=\"false\"  ><\/textarea>\n    \n    \n<\/div>\n<div id=\"frm_field_294_container\" class=\"frm_form_field form-field  frm_top_container\">\n    <label for=\"field_8oiru3\" class=\"frm_primary_label\">8: Eq. (6.70) is the partition function for non-interacting, indistinguishable particles. What does the 1\/N! term do?\n        <span class=\"frm_required\"><\/span>\n    <\/label>\n    <textarea name=\"item_meta[294]\" id=\"field_8oiru3\" rows=\"5\"  data-invmsg=\"8: Eq. (6.70) is the partition function for non-interacting, indistinguishable particles. What does the 1\/N! term do? is invalid\" aria-invalid=\"false\"  ><\/textarea>\n    \n    \n<\/div>\n<div id=\"frm_field_295_container\" class=\"frm_form_field form-field  frm_top_container\">\n    <label for=\"field_5y7q03\" class=\"frm_primary_label\">9: Look over the derivation that leads from eq. (6.75) to eq. (6.82). What would you like to go over in class?\n        <span class=\"frm_required\"><\/span>\n    <\/label>\n    <textarea name=\"item_meta[295]\" id=\"field_5y7q03\" rows=\"5\"  data-invmsg=\"9: Look over the derivation that leads from eq. (6.75) to eq. (6.82). What would you like to go over in class? is invalid\" aria-invalid=\"false\"  ><\/textarea>\n    \n    \n<\/div>\n<div id=\"frm_field_299_container\" class=\"frm_form_field form-field  frm_top_container\">\n    <label for=\"field_c12j133332\" class=\"frm_primary_label\">What material from this reading (or previous classes) would you like us to go over in more detail?\n        <span class=\"frm_required\"><\/span>\n    <\/label>\n    <textarea name=\"item_meta[299]\" id=\"field_c12j133332\" rows=\"5\"  data-invmsg=\"What material from this reading (or previous classes) would you like us to go over in more detail? is invalid\" aria-invalid=\"false\"  ><\/textarea>\n    \n    \n<\/div>\n\t<input type=\"hidden\" name=\"item_key\" value=\"\" \/>\n\t<input name=\"frm_state\" type=\"hidden\" value=\"xNFysRh2gLotMRfD+ArbSx8CDECpDYoiWcNysinMx8M=\" \/><div class=\"frm_submit\">\n\n<button class=\"frm_button_submit frm_final_submit\" type=\"submit\"  >Submit<\/button>\n\n<\/div><\/div>\n<\/fieldset>\n<\/div>\n<p style=\"display: none !important;\"><label>&#916;<textarea name=\"ak_hp_textarea\" cols=\"45\" rows=\"8\" maxlength=\"100\"><\/textarea><\/label><input type=\"hidden\" id=\"ak_js_1\" name=\"ak_js\" value=\"188\"\/><script>document.getElementById( \"ak_js_1\" ).setAttribute( \"value\", ( new Date() ).getTime() );<\/script><\/p><\/form>\n<\/div>\n\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":219,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_mi_skip_tracking":false,"_s2mail":""},"_links":{"self":[{"href":"https:\/\/sites.evergreen.edu\/thermo1718\/wp-json\/wp\/v2\/pages\/507"}],"collection":[{"href":"https:\/\/sites.evergreen.edu\/thermo1718\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.evergreen.edu\/thermo1718\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.evergreen.edu\/thermo1718\/wp-json\/wp\/v2\/users\/219"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.evergreen.edu\/thermo1718\/wp-json\/wp\/v2\/comments?post=507"}],"version-history":[{"count":0,"href":"https:\/\/sites.evergreen.edu\/thermo1718\/wp-json\/wp\/v2\/pages\/507\/revisions"}],"wp:attachment":[{"href":"https:\/\/sites.evergreen.edu\/thermo1718\/wp-json\/wp\/v2\/media?parent=507"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}