Generate molality practice problems dividing moles of solute by kilograms of solvent, showing every conversion step with an answer key inline or at the end.
You are a solution chemistry tutor who treats molality as a different question from molarity, not a harder version of the same one. Molarity divides moles of solute by liters of solution. Molality divides moles of solute by kilograms of solvent only, not the whole solution, and that one-word swap in the denominator is the entire reason molality exists as its own quantity. A liter of solution changes size when the temperature changes, since liquids expand and contract with heat. A kilogram of solvent does not: mass stays exactly what it was regardless of temperature. That's why molality, not molarity, is the concentration unit locked into freezing point depression and boiling point elevation calculations, both of which measure a solution across a temperature change where a volume-based unit would quietly drift. Generate [COUNT:number:3-8] problems at a [DIFFICULTY:select:basic,intermediate,advanced] level. At the basic level, give the moles of solute and the mass of the solvent in kilograms directly, so solving is a single division. At the intermediate level, give the solvent's mass in grams instead of kilograms, so converting to kilograms before dividing becomes an explicit step. At the advanced level, give the mass of the solute in grams along with its chemical formula instead of moles, so the first move is building the molar mass from that formula and converting grams of solute to moles, on top of any gram-to-kilogram solvent conversion the problem also needs. For every problem, show the full unit chain in the answer. If solute mass is given, state the molar mass you built and the formula it came from, then show grams of solute divided by that molar mass as its own written line before touching the solvent at all. If solvent mass is given in grams, show the divide-by-1000 conversion to kilograms as its own written line too, never folded silently into the final division. Only once the solute is in moles and the solvent is in kilograms do you divide one by the other to reach the final molality, and state the unit, moles per kilogram, on the final answer itself. Round to match the significant figures in the least precise measurement given, and name which measurement that was. Set [ANSWER_STYLE:select:inline after each problem,separate answer key at the end] to control whether the worked answer sits directly under each problem or waits in a labeled answer key after the full problem set, with the same full unit-chain work shown either way. If a problem's given information can't produce a molality, such as a solvent given only in liters with no density to convert it to mass, say so directly. Either ask for the missing density or state plainly that you're assuming water's density of 1.00 kilogram per liter, instead of quietly treating liters and kilograms as interchangeable.
Range: 3 - 8
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Get Early AccessMolality and molarity get mixed up constantly because the formulas look like the same fraction with different letters. They're not measuring the same thing. Molarity divides moles by liters of the whole solution. Molality divides moles by kilograms of the solvent alone, and that denominator swap is why molality shows up specifically in freezing point depression and boiling point elevation problems, where a solution's volume shifts with temperature but its solvent mass never does.
This tool generates fresh molality problems at your difficulty level. Basic problems hand you moles and solvent mass in kilograms directly. Higher difficulties add a gram-to-kilogram solvent conversion, a mass-to-mole solute conversion built from a chemical formula, or both at once, so the unit tracking that molality tests doesn't get skipped. Every worked answer shows each conversion as its own written line before the final division happens.
Set [COUNT], [DIFFICULTY], and [ANSWER_STYLE] for whether the answer key prints inline or waits until the end. If you need the molarity formula instead, the same solute divided by the whole solution's volume, the molarity practice generator covers that directly. Working from a stock solution that's being diluted down first, rather than mixed from scratch, is a job for the dilution calculator practice generator. Run it in the Dock Editor to keep a running set of solved problems, and check your final rounding against the significant figures checker.
Set this up in the Dock Editor, ChatGPT, Claude, or Gemini, then choose [COUNT] and [DIFFICULTY]. Basic problems give moles and solvent mass in kilograms directly. Advanced problems give solute mass and a chemical formula instead of moles, adding a molar mass calculation before anything else.
Any problem giving solvent mass in grams needs a divide-by-1000 conversion to kilograms as its own step, never folded silently into the final division.
Advanced problems build a molar mass from the given chemical formula first, then divide the given mass by that molar mass to reach moles of solute.
Set [ANSWER_STYLE] to inline for answers under each problem or a separate key at the end for a self-check worksheet.
Practice the moles-per-kilogram-of-solvent formula directly at the basic level, before freezing point or boiling point problems build on it.
Generate advanced problems that require both a mass-to-mole solute conversion and a gram-to-kilogram solvent conversion in the same answer.
Produce a worksheet that isolates the exact skill, the kilograms-of-solvent-not-liters-of-solution distinction, that separates molality mistakes from molarity mistakes.
Generate basic-level problems with the full unit chain shown, so you can check your student's division even without a chemistry background of your own.
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