Gym · Gas laws
Gas laws: PV = nRT and the combined gas law
The ideal gas law ties a gas's pressure, volume, amount, and temperature into one equation. These drills give you three of the four and ask for the fourth — and a second set walks a fixed sample from one state to another with the combined gas law. Type your answer (rounded to three significant figures); if you slip, the drill names the mistake — most often forgetting to convert °C to kelvin, or reaching for R = 8.314 when a pressure-in-atm problem wants R = 0.08206. The arithmetic is machine-checked; the ideal-gas model is disclosed, not proved.
Model: The gas behaves ideally: PV = nRT holds exactly only for a dilute gas (low pressure, temperature well above condensation). A disclosed model, not a law of algebra. The arithmetic is machine-checked and the answer is reported to 3 significant figures.
An ideal gas sample has 0.5 atm, 7.39 L, 0.1 mol. Using PV = nRT (R = 0.08206 L·atm/mol·K), what is the temperature (K)?
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