// Numbas version: exam_results_page_options
{"name": "Rearranging concentration formula for volume (symbolic)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": [], "name": "Rearranging concentration formula for volume (symbolic)", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {}, "parts": [{"stepsPenalty": "1", "displayColumns": "1", "prompt": "<p>Given that&nbsp;\\[\\text{percentage concentration (w/v)}=\\dfrac{\\text{mass of solute (g)}}{\\text{volume of solvent (mL)}}\\times \\text{100},\\]&nbsp;which of the following is a valid equation for the volume&nbsp;of the solvent (mL)?</p>", "matrix": ["1", 0, 0, 0, 0, 0, 0], "shuffleChoices": true, "maxMarks": 0, "variableReplacements": [], "choices": ["<p></p>\n<p>$\\text{volume of solvent (ml)}=\\dfrac{\\text{mass of solute (g)}}{\\text{percentage concentration (w/v)}}\\times \\text{100}$</p>\n<p></p>", "<p></p>\n<p>$\\text{volume of solvent (ml)}=\\dfrac{\\text{percentage concentration (w/v)}}{\\text{mass of solute (g)}}\\times \\text{100}$</p>\n<p></p>", "<p></p>\n<p>$\\text{volume of solvent (ml)}=\\dfrac{\\text{percentage concentration (w/v)}}{\\text{mass of solute (g)}}\\div \\text{100}$</p>\n<p></p>", "<p></p>\n<p>$\\text{volume of solvent (ml)}=\\dfrac{\\text{mass of solute (g)}}{\\text{percentage concentration (w/v)}}\\div \\text{100}$</p>\n<p></p>\n<p></p>", "<p></p>\n<p>$\\text{volume of solvent (ml)}=\\dfrac{\\text{percentage concentration (w/v)}}{\\text{mass of solute (g)}}$</p>\n<p></p>", "<p></p>\n<p>$\\text{volume of solvent (ml)}=\\dfrac{\\text{percentage concentration (w/v)}}{\\text{mass of solute (g)}}$</p>\n<p></p>", "<p></p>\n<p>$\\text{volume of solvent (ml)}=\\dfrac{\\text{mass of solute (g)}}{\\text{percentage concentration (w/v)}}$</p>\n<p></p>"], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Given that&nbsp;\\[\\text{percentage concentration (w/v)}=\\dfrac{\\text{mass of solute (g)}}{\\text{volume of solvent (mL)}}\\times \\text{100},\\]</p>\n<p>to find an equation for volume&nbsp;of the solvent (mL), we need to get 'volume of solvent (mL)'&nbsp;on to the left&nbsp;side of the equation and then get 'percentage concentration (w/v)'&nbsp;on the right hand side of the equation (so that 'volume of solvent (mL)'&nbsp;is by itself). To do this we multiply both sides by 'volume of solvent (mL)' and&nbsp;divide both sides by 'percentage concentration (w/v)'&nbsp;</p>\n<p></p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: right;\">$\\text{percentage concentration (w/v)}$</td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\dfrac{\\text{mass of solute (g)}}{\\text{volume of solvent (mL)}}\\times \\text{100}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td></td>\n<td style=\"text-align: left;\">&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\text{percentage concentration (w/v)}\\times&nbsp;\\text{volume of solvent (mL)}$</td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\dfrac{\\text{mass of solute (g)}}{\\text{volume of solvent (mL)}}\\times \\text{100}\\times&nbsp;\\text{volume of solvent (mL)}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">&nbsp;</td>\n<td></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\text{percentage concentration (w/v)}\\times&nbsp;\\text{volume of solvent (mL)}$</td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\text{mass of solute (g)}\\times \\text{100}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">&nbsp;</td>\n<td></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\dfrac{\\text{percentage concentration (w/v)}\\times&nbsp;\\text{volume of solvent (mL)}}{\\text{percentage concentration (w/v)}}$</td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\dfrac{\\text{mass of solute (g)}}{\\text{percentage concentration (w/v)}}\\times \\text{100}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">&nbsp;</td>\n<td></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\text{volume of solvent (mL)}$</td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\dfrac{\\text{mass of solute (g)}}{\\text{percentage concentration (w/v)}}\\times \\text{100}$</td>\n</tr>\n</tbody>\n</table>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "distractors": ["", "", "", "", "", "", ""], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "1_n_2", "displayType": "radiogroup", "minMarks": 0}], "extensions": [], "statement": "", "variable_groups": [], "variablesTest": {"maxRuns": "100", "condition": ""}, "variables": {}, "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "type": "question", "contributors": [{"name": "Nigel Atkins", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/275/"}]}]}], "contributors": [{"name": "Nigel Atkins", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/275/"}]}