// Numbas version: exam_results_page_options {"name": "Vicky's copy of Rearranging concentration formula for mass (numeric)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"parts": [{"scripts": {}, "prompt": "
A solution has a percentage concentration of {ansb} % w/v of {chem}. It was made by mixing {millb} mL of solvent and [[0]] grams of {chem}.
", "steps": [{"scripts": {}, "prompt": "Given \\[\\text{percentage concentration (w/v)}=\\dfrac{\\text{mass of solute (g)}}{\\text{volume of solvent (mL)}}\\times \\text{100},\\]
\nwe can substitute our values for percentage concentration and volume of solvent and rearrange to get the value of 'mass of solute (g)'.
\n\n$\\text{percentage concentration (w/v)}$ | \n$=$ | \n$\\dfrac{\\text{mass of solute (g)}}{\\text{volume of solvent (mL)}}\\times \\text{100}$ | \n
\n | \n | \n |
$\\var{ansb} \\text{ % (w/v)}$ | \n$=$ | \n$\\dfrac{\\text{mass of solute (g)}}{\\var{millb} \\text{ mL}}\\times 100$ | \n
\n | \n | \n |
$\\dfrac{\\var{ansb} \\text{ % (w/v)}}{100}$ | \n$=$ | \n$\\dfrac{\\text{mass of solute (g)}}{\\var{millb} \\text{ mL}}\\times \\dfrac{100}{100}$ | \n
\n | \n | \n |
$\\dfrac{\\var{ansb} \\text{ % (w/v)}}{100}$ | \n$=$ | \n$\\dfrac{\\text{mass of solute (g)}}{\\var{millb} \\text{ mL}}$ | \n
\n | \n | \n |
$\\dfrac{\\var{ansb} \\text{ % (w/v)}}{100}\\times \\var{millb} \\text{ (mL)}$ | \n$=$ | \n$\\dfrac{\\text{mass of solute (g)}}{\\var{millb} \\text{ mL}}\\times \\var{millb} \\text{ mL}$ | \n
\n | \n | \n |
$\\var{gramsb} \\text{ (g)}$ | \n$=$ | \n$\\text{mass of solute (g)}$ | \n
https://en.wikipedia.org/wiki/Mass_concentration_(chemistry)#Usage_in_biology
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