// Numbas version: exam_results_page_options
{"name": "Calculate Number of Moles for a Given Empirical Mass and Atomic Mass", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Calculate Number of Moles for a Given Empirical Mass and Atomic Mass", "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Calculate the number of moles in {empirical_mass}g of {chemical_formula_compositions[chemical_formula_names[index]][\"symbolic_form\"]}.</p>\n<p>The atomic masses are as given in the following table.</p>\n<table>\n<tbody>\n<tr>\n<td>Symbol</td>\n<td>m/z</td>\n</tr>\n<tr>\n<td>{atomic_mass_dictionary[chemical_formula_compositions[chemical_formula_names[index]][\"elements_involved\"][0]][\"symbol\"]}</td>\n<td>{atomic_mass_dictionary[chemical_formula_compositions[chemical_formula_names[index]][\"elements_involved\"][0]][\"mass\"]}</td>\n</tr>\n<tr>\n<td>{atomic_mass_dictionary[chemical_formula_compositions[chemical_formula_names[index]][\"elements_involved\"][1]][\"symbol\"]}</td>\n<td>{atomic_mass_dictionary[chemical_formula_compositions[chemical_formula_names[index]][\"elements_involved\"][1]][\"mass\"]}</td>\n</tr>\n</tbody>\n</table>", "advice": "<p>Recall that one mole of a substance, whose (average) atomic molecular mass is $X$, has an empirical mass of $X$g.</p>\n<p>One molecule of {chemical_formula_compositions[chemical_formula_names[index]][\"symbolic_form\"]} contains {chemical_formula_compositions[chemical_formula_names[index]][\"frequencies\"][0]} {atom_text[chemical_formula_compositions[chemical_formula_names[index]][\"frequencies\"][0]]} of {chemical_formula_compositions[chemical_formula_names[index]][\"elements_involved\"][0]} and {chemical_formula_compositions[chemical_formula_names[index]][\"frequencies\"][1]} {atom_text[chemical_formula_compositions[chemical_formula_names[index]][\"frequencies\"][1]]} of {chemical_formula_compositions[chemical_formula_names[index]][\"elements_involved\"][1]}, thus, based upon the above table, we have an overall atomic molecular mass of {chemical_formula_compositions[chemical_formula_names[index]][\"frequencies\"][0]} &times; {atomic_mass_dictionary[chemical_formula_compositions[chemical_formula_names[index]][\"elements_involved\"][0]][\"mass\"]} + {chemical_formula_compositions[chemical_formula_names[index]][\"frequencies\"][1]} &times; {atomic_mass_dictionary[chemical_formula_compositions[chemical_formula_names[index]][\"elements_involved\"][1]][\"mass\"]} = {chemical_formula_compositions[chemical_formula_names[index]][\"mass\"]}.</p>\n<p>Hence, one mole of {chemical_formula_compositions[chemical_formula_names[index]][\"symbolic_form\"]} weighs {chemical_formula_compositions[chemical_formula_names[index]][\"mass\"]}g.</p>\n<p>Since we need {empirical_mass}g of {chemical_formula_compositions[chemical_formula_names[index]][\"symbolic_form\"]}, we take $\\frac{\\var{empirical_mass}}{\\var{chemical_formula_compositions[chemical_formula_names[index]][\"mass\"]}}$ moles.<br/>= {round2ans} moles (2 decimal places).</p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"empirical_mass": {"name": "empirical_mass", "group": "Ungrouped variables", "definition": "random(1..50)", "description": "", "templateType": "anything", "can_override": false}, "round2ans": {"name": "round2ans", "group": "Ungrouped variables", "definition": "precround({empirical_mass} / {chemical_formula_compositions}[{chemical_formula_names}[{index}]][\"mass\"], 2)", "description": "", "templateType": "anything", "can_override": false}, "round1ans": {"name": "round1ans", "group": "Ungrouped variables", "definition": "precround({empirical_mass} / {chemical_formula_compositions}[{chemical_formula_names}[{index}]][\"mass\"], 1)", "description": "", "templateType": "anything", "can_override": false}, "atomic_mass_dictionary": {"name": "atomic_mass_dictionary", "group": "Ungrouped variables", "definition": "[\"hydrogen\": [\"symbol\": \"H\", \"mass\": 1], \"oxygen\": [\"symbol\": \"O\", \"mass\": 16], \"magnesium\": [\"symbol\": \"Mg\", \"mass\": 24], \"zinc\": [\"symbol\": \"Zn\", \"mass\": 64], \"aluminium\": [\"symbol\": \"Al\", \"mass\": 27], \"tin\": [\"symbol\": \"Sn\", \"mass\": 120], \"carbon\": [\"symbol\": \"C\", \"mass\": 12]]", "description": "", "templateType": "anything", "can_override": false}, "chemical_formula_names": {"name": "chemical_formula_names", "group": "Ungrouped variables", "definition": "[\"H2O\", \"H2O2\", \"MgO\", \"ZnO\", \"Al2O3\", \"SnO2\", \"C5H12\", \"C6H14\", \"C7H16\", \"C8H18\"]", "description": "", "templateType": "anything", "can_override": false}, "chemical_formula_compositions": {"name": "chemical_formula_compositions", "group": "Ungrouped variables", "definition": "[\"H2O\": [\"elements_involved\": [\"hydrogen\", \"oxygen\"], \"symbolic_form\": \"H$_2$O\", \"frequencies\": [2, 1], \"mass\": 18], \"H2O2\": [\"elements_involved\": [\"hydrogen\", \"oxygen\"], \"symbolic_form\": \"H$_2$O$_2$\", \"frequencies\": [2, 2], \"mass\": 34], \"MgO\": [\"elements_involved\": [\"magnesium\", \"oxygen\"], \"symbolic_form\": \"MgO\", \"frequencies\": [1, 1], \"mass\": 40], \"ZnO\": [\"elements_involved\": [\"zinc\", \"oxygen\"], \"symbolic_form\": \"ZnO\", \"frequencies\": [1, 1], \"mass\": 80], \"Al2O3\": [\"elements_involved\": [\"aluminium\", \"oxygen\"], \"symbolic_form\": \"Al$_2$O$_3$\", \"frequencies\": [2, 3], 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