// Numbas version: exam_results_page_options
{"name": "Heating", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Heating", "tags": [], "metadata": {"description": "", "licence": "All rights reserved"}, "statement": "", "advice": "", "rulesets": {}, "extensions": [], "variables": {"t1": {"name": "t1", "group": "Ungrouped variables", "definition": "random(100 .. 150#1)", "description": "", "templateType": "randrange"}, "t2": {"name": "t2", "group": "Ungrouped variables", "definition": "random(20 .. 80#1)", "description": "", "templateType": "randrange"}, "dt": {"name": "dt", "group": "Ungrouped variables", "definition": "t1-t2", "description": "", "templateType": "anything"}, "q1": {"name": "q1", "group": "Ungrouped variables", "definition": "(dt*1400)/1000", "description": "", "templateType": "anything"}, "L": {"name": "L", "group": "Ungrouped variables", "definition": "random(4 .. 10#1)", "description": "", "templateType": "randrange"}, "W": {"name": "W", "group": "Ungrouped variables", "definition": "Q3/(t5*60)", "description": "", "templateType": "anything"}, "H": {"name": "H", "group": "Ungrouped variables", "definition": "random(2 .. 4#1)", "description": "", "templateType": "randrange"}, "M": {"name": "M", "group": "Ungrouped variables", "definition": "H*D*L*6*1.293", "description": "", "templateType": "anything"}, "Q2": {"name": "Q2", "group": "Ungrouped variables", "definition": "M*1005*20", "description": "", "templateType": "anything"}, "t3": {"name": "t3", "group": "Ungrouped variables", "definition": "random(80 .. 120#1)", "description": "", "templateType": "randrange"}, "t4": {"name": "t4", "group": "Ungrouped variables", "definition": "random(10 .. 30#1)", "description": "", "templateType": "randrange"}, "dt3": {"name": "dt3", "group": "Ungrouped variables", "definition": "t3-t4", "description": "", "templateType": "anything"}, "M3": {"name": "M3", "group": "Ungrouped variables", "definition": "10*pi*4*50", "description": "", "templateType": "anything"}, "Q3": {"name": "Q3", "group": "Ungrouped variables", "definition": "M3*dt3*200", "description": "", "templateType": "anything"}, "t5": {"name": "t5", "group": "Ungrouped variables", "definition": "random(10 .. 40#1)", "description": "", "templateType": "randrange"}, "D": {"name": "D", "group": "Ungrouped variables", "definition": "random(4 .. 10#1)", "description": "", "templateType": "randrange"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["t1", "t2", "dt", "q1", "L", "H", "M", "Q2", "t3", "t4", "dt3", "M3", "Q3", "t5", "W", "D"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Part A", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p style=\"text-align: left;\">A plane wall constructed of solid iron with a U-factor of <i>1400 W/m</i><i>2</i><i>C, </i></p>\n<p style=\"text-align: left;\">and with surface area <i>1 m by 1 m, </i></p>\n<p style=\"text-align: left;\">has a temperature {t1}$^{\\circ}$<i>C</i> on one side and <i>{t2}$^{\\circ}$C</i> on the other.</p>\n<p style=\"text-align: left;\"></p>\n<p style=\"text-align: left;\">What is the conductive heat transfer in kW?</p>\n<p style=\"text-align: left;\">Q$_{1}$ = [[0]]&nbsp; kW</p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Q1", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "q1*0.9", "maxValue": "q1*1.1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Part B", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p style=\"text-align: left;\">A room measures {L}m X {D}m X {H}m. It requires 6 air changes per hour.</p>\n<p style=\"text-align: left;\">It is to be heated to an average temperature of 18 $^{\\circ}$<i>C</i> using electric heating.</p>\n<p style=\"text-align: left;\">The external temperature is -2$^{\\circ}$<i>C</i>.</p>\n<p style=\"text-align: left;\">The specific heat capacity of air is 1005 j/kg/$^{\\circ}$<i>C</i> and the density of air is 1.293 kg/m3.</p>\n<p style=\"text-align: left;\"></p>\n<p style=\"text-align: left;\">Calculate the mass of air to be heated and the required energy output of the heater.</p>\n<p style=\"text-align: left;\">Mass of air, M = [[0]] kG</p>\n<p style=\"text-align: left;\">Heater output, Q$_{2}$ = [[1]] j</p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "M", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "M*0.9", "maxValue": "M*1.1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Q2", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "Q2*0.9", "maxValue": "Q2*1.1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Part C", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p style=\"text-align: left;\">A tanker measures 10 m high with a radius of 2m.</p>\n<p style=\"text-align: left;\">The fluid in the vat is to be heated to an average temperature of {t3}$^{\\circ}$<i>C</i> using electric heating.</p>\n<p style=\"text-align: left;\">The initial temperature is {t4}$^{\\circ}$<i>C</i>.</p>\n<p style=\"text-align: left;\">The specific heat capacity of the fluid is 200 j/kg/$^{\\circ}$<i>C</i> and the density of the fluid is 50 kg/m$^{3}$.</p>\n<p style=\"text-align: left;\"></p>\n<p style=\"text-align: left;\">Calculate the required energy output of the heater.</p>\n<p style=\"text-align: left;\">Heater output, Q$_{3}$ = [[0]] j</p>\n<p style=\"text-align: left;\">Calculate the power rating of the heater required if the heating operation is to be completed in {t5} minutes.</p>\n<p style=\"text-align: left;\">Rating = [[1]] W</p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Q3", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "Q3*0.9", "maxValue": "Q3*1.1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], 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"Stephen Sheridan", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/10056/"}]}