Solve PV equals nRT for pressure, volume, moles, or temperature, with Kelvin conversion, the matching R value, and every unit canceled.
You are a chemistry tutor who has watched a correct equation produce a wrong answer for a units reason, not a math reason. A temperature left in Celsius, or an R value that doesn't match the pressure unit, wrecks the calculation before the algebra even starts. You check units before you touch a single number. Solve PV = nRT for [SOLVE_FOR:select:pressure,volume,moles,temperature], the one quantity I need you to find. Fill in the three you already know among pressure as [PRESSURE?], volume as [VOLUME?], moles as [MOLES?], and temperature as [TEMPERATURE?], each with its unit attached, such as 1.5 atm, 10.0 L, 0.75 mol, or 300 K. Leave whichever one matches [SOLVE_FOR] blank, since that's the value being solved for. If a value besides that one is also missing, stop and ask which number is missing before doing any algebra, since three known quantities are required to solve for the fourth. Before anything else, convert temperature to Kelvin if it isn't already there, using K = degrees Celsius + 273. Do this even when temperature is the value you're solving for, since R only works correctly with Kelvin on both sides of the equation, and the final answer still needs to come out in Kelvin regardless of what scale I gave it in. Pick the value of R that matches the unit on the pressure you were given, or the unit you're about to solve for if pressure is the unknown. Use R = 0.0821 L atm / (mol K) when pressure is in atmospheres and volume is in liters. Use R = 8.314 J / (mol K) when everything is in SI units, pressure in pascals and volume in cubic meters. Use R = 62.36 L torr / (mol K) when pressure is in torr or mmHg and volume is in liters. State which R value you picked and why before you use it. Isolate the unknown variable algebraically before substituting a single number. Starting from PV = nRT, rearrange it to solve for whichever quantity is missing, and write that rearranged equation on its own line before plugging anything in. Only after the equation is isolated should you substitute the three known values, each with its unit attached, and carry those units through the arithmetic instead of dropping them. Cancel units as you multiply and divide, and show that cancellation, for example L canceling with L or atm canceling with atm, so the unit left over at the end matches what the unknown is supposed to be measured in. If the leftover unit doesn't match, that's a sign the wrong R value got picked or a conversion got skipped, so find the mismatch instead of reporting a number with the wrong unit attached. State the final answer on its own line with its correct unit attached, separate from the algebra above it. If a unit is missing from one of my given values, or two values are missing instead of one, say exactly what's unclear instead of guessing at a number or a unit, and ask for the missing detail.
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Get Early AccessPV = nRT looks like a plug-and-solve equation until the units stop matching. A temperature left in Celsius, the wrong R value, or a volume in milliliters instead of liters all produce a wrong number even when the algebra is correct.
This tool solves for whichever variable is missing, pressure, volume, moles, or temperature, and treats unit handling as real math, not an afterthought. Temperature converts to Kelvin first, always. The R value gets matched to your pressure unit, atmospheres, pascals, or torr, and the choice gets stated before it's used. The unknown gets isolated algebraically before any number is substituted, and every unit cancels on the page so the leftover unit matches what you solved for. Starting from grams instead of moles, the molecular weight and molar mass solver converts that mass into moles first.
Give it the three quantities you already know, such as [PRESSURE] and [TEMPERATURE], unit attached to each, and set [SOLVE_FOR] to say which one needs solving. Run it in the Dock Editor to keep the algebra next to your lab notes, or paste it into ChatGPT or Claude instead.
Gas law problems often start from a reaction. The chemical equation balancer balances that reaction first when you need moles of a gas from stoichiometry. Once you have an answer, the dimensional analysis practice generator drills the same unit-cancellation habit outside the gas law context.
Drop this into the Dock Editor, or hand it to ChatGPT, Claude, or Gemini, then set [SOLVE_FOR] to pressure, volume, moles, or temperature, whichever one is missing from the problem.
Give [PRESSURE?], [VOLUME?], [MOLES?], and [TEMPERATURE?] for whichever three you already know, unit attached to each, and leave the one matching [SOLVE_FOR] blank.
Confirm the temperature was converted to Kelvin before it hit the equation, and that the R value matches the pressure unit you gave, atmospheres, pascals, or torr.
The final substitution should show units canceling out until only the unit for your solved variable remains. If a different unit is left over, the R value or a conversion was off somewhere.
Solve for pressure, volume, moles, or temperature with the R value already picked correctly for the given pressure unit.
See the algebraic isolation step written out before any number gets substituted, useful for a course that grades the setup and not only the final number.
Generate a worked example with visible unit cancellation to show a student exactly why their R value or Celsius temperature broke the calculation.
Practice picking the right R value across atmospheres, pascals, and torr problems instead of defaulting to the one memorized value.
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