// Numbas version: exam_results_page_options
{"name": "Energy per Mole of Photons from Frequency, Wavenumber (mixed units)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Energy per Mole of Photons from Frequency, Wavenumber (mixed units)", "tags": [], "metadata": {"description": "<span style=\"color: rgb(34, 34, 34);\">Question requires students to interchange&nbsp;units of Hz with MHz, GHz, THz. Question is not very efficient at present- frequencies spanning many orders of magnitude are generated by variables in a clumsy way. Could be improved by having frequency generated by a 10^((random(1000..4000)/1000) variable instead, for example.</span>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "", "advice": "<p>If you are given a quantity in wavenumbers, convert this to units of frequency (Hz which are equivalent to s<sup>-1</sup>)</p>\n<p>\\[\\rm wavenumber~(in~cm^{-1})~\\times~3.0~\\times~10^{10}~cm~s^{-1}~=~Frequency~(Hz)\\]</p>\n<p>\\[\\var{wavenumber}~{\\rm~cm^{-1}}~\\times~3.0~\\times~10^{10}{\\rm~cm~s^{-1}}=\\var{Freq_mantissa}~\\times~10^{\\var{Freq_log}}~{\\rm Hz}\\]</p>\n<p>Now, remember that;&nbsp;</p>\n<p>\\[E=h\\nu\\]</p>\n<p>so;&nbsp;</p>\n<p>\\[E=h\\nu=6.602~\\times~10^{-34}~\\times~\\var{Freq_mantissa}~\\times~10^{\\var{Freq_log}}=~\\var{Energy_molec_mantissa}~\\times~10^{\\var{Energy_molec_log}}~{\\rm J}\\]</p>\n<p>Multiply by the Avogadro number&nbsp;to convert to J mol<sup>-1</sup>, then divide by 1000 to convert to kJ mol<sup>-1</sup>;</p>\n<p>\\[\\frac{6.022~\\times~10^{23}~{\\rm~mol^{-1}}~\\times\\var{Energy_molec_mantissa}~\\times~10^{\\var{Energy_molec_log}}}{1000~{\\rm~J~kJ^{-1}}}=\\var{Energy}~{\\rm~kJ~mol^{-1}}\\]</p>\n<p>&nbsp;</p>", "rulesets": {"": []}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"Answer_1_units": {"name": "Answer_1_units", "group": "Ungrouped variables", "definition": "(if (Frequency_list[2]<1,Frequency_units_list[1],Frequency_units_list[2]))", "description": "", "templateType": "anything", "can_override": false}, "Frequency_MW": {"name": "Frequency_MW", "group": "Ungrouped variables", "definition": "(3*10^(8))+((random(1..1000))*3.0*10^(8))", "description": "", "templateType": "anything", "can_override": false}, "Frequency_randomiser_units": {"name": "Frequency_randomiser_units", "group": "Ungrouped variables", "definition": "if(Answer_2<1000,Answer_2_units,Answer_1_units)", "description": "", "templateType": "anything", "can_override": false}, "Frequency_list": {"name": "Frequency_list", "group": "Ungrouped variables", "definition": "[Frequency/1000000,Frequency/1000000000,Frequency/1000000000000]", "description": "", "templateType": "anything", "can_override": false}, "wavenumber": {"name": "wavenumber", "group": "Ungrouped variables", "definition": "siground((Frequency/30000000000),5)", "description": "", "templateType": "anything", "can_override": false}, "Frequency_randomiser": {"name": "Frequency_randomiser", "group": "Ungrouped variables", "definition": "if(Answer_2<1000,Answer_2,Answer_1)", "description": "", "templateType": "anything", "can_override": false}, "Frequency": {"name": "Frequency", "group": "Ungrouped variables", "definition": "siground(random(Frequency_MW,Frequency_IR,Frequency_Visible),5)", "description": "", "templateType": "anything", "can_override": false}, "Energy": {"name": "Energy", "group": "Ungrouped variables", "definition": "siground(Planck*Frequency,3)", "description": "", "templateType": "anything", "can_override": false}, "definer": {"name": "definer", "group": "Ungrouped variables", "definition": "if (Solution=Frequency_randomiser,\"frequency\",\"wavenumber\")", "description": "", "templateType": "anything", "can_override": false}, "Frequency_Visible": {"name": "Frequency_Visible", "group": "Ungrouped variables", "definition": "(4.55*10^(14))+((random(1..1000))*2.95*10^(11))", "description": "", "templateType": "anything", "can_override": false}, "Frequency_IR": {"name": "Frequency_IR", "group": "Ungrouped variables", "definition": "(1.50*10^(12))+((random(1..1000))*2.99*10^(11))", "description": "", "templateType": "anything", "can_override": false}, "Solution_units": {"name": "Solution_units", "group": "Ungrouped variables", "definition": "if (Solution=Frequency_randomiser,Frequency_randomiser_units,wavenumber_units)", "description": "", "templateType": "anything", "can_override": false}, "Answer_1": {"name": "Answer_1", "group": "Ungrouped variables", "definition": "(if (Frequency_list[2]<1,Frequency_list[1],Frequency_list[2]))", "description": "", "templateType": "anything", "can_override": false}, "Planck": {"name": "Planck", "group": "Ungrouped variables", "definition": "((6.626*10^-34)*(6.022456*10^23))/1000", "description": "", "templateType": "anything", "can_override": false}, "Answer_2": {"name": "Answer_2", "group": "Ungrouped variables", "definition": "(if (Frequency_list[1]<1,Frequency_list[0],Frequency_list[1]))", "description": "", "templateType": "anything", "can_override": false}, "Energy_molec_mantissa": {"name": "Energy_molec_mantissa", "group": "Ungrouped variables", "definition": "siground(Energy_molec/10^(Energy_molec_log),3)", "description": "", "templateType": "anything", "can_override": false}, "Freq_mantissa": {"name": "Freq_mantissa", "group": "Ungrouped variables", "definition": "siground(Frequency/10^(Freq_log),3)", "description": "", "templateType": "anything", "can_override": false}, "wavenumber_units": {"name": "wavenumber_units", "group": "Ungrouped variables", "definition": "html(\"<span>\"+\"cm\"+\"<sup>\"+\"-1\"+\"</sup>\"+\"</span>\")", "description": "", "templateType": "anything", "can_override": false}, "Energy_molec": {"name": "Energy_molec", "group": "Ungrouped variables", "definition": "6.626*10^(-34)*Frequency", "description": "", "templateType": "anything", "can_override": false}, "Frequency_units_list": {"name": "Frequency_units_list", "group": "Ungrouped variables", "definition": "[\"MHz\",\"GHz\",\"THz\"]", "description": "", "templateType": "anything", "can_override": false}, "Energy_molec_log": {"name": "Energy_molec_log", "group": "Ungrouped variables", "definition": "floor(log(Energy_molec))", "description": "", "templateType": "anything", "can_override": false}, "Answer_2_units": {"name": "Answer_2_units", "group": "Ungrouped variables", "definition": "(if (Frequency_list[1]<1,Frequency_units_list[0],Frequency_units_list[1]))", "description": "", "templateType": "anything", "can_override": false}, "Solution": {"name": "Solution", "group": "Ungrouped variables", "definition": "random(Frequency_randomiser,wavenumber)", "description": "", "templateType": "anything", "can_override": false}, "Freq_log": {"name": "Freq_log", "group": "Ungrouped variables", "definition": "floor(log(Frequency))", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": "200"}, "ungrouped_variables": ["Frequency_Visible", "Frequency_IR", "Frequency_MW", "Frequency", "Energy", "Planck", "Frequency_list", "Frequency_units_list", "Answer_1", "Answer_1_units", "Answer_2", "Answer_2_units", "Frequency_randomiser", "Frequency_randomiser_units", "wavenumber_units", "wavenumber", "Solution", "Solution_units", "definer", "Freq_log", "Freq_mantissa", "Energy_molec", "Energy_molec_log", "Energy_molec_mantissa"], 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