The ideal gas law states that the volume, v, of a gas in liters varies directly with the amount of the gas in moles, n, and the absolute temperature, T, in kelvins and varies inversely with the pressure, P, in atmospheres. Two moles of a gas have a volume of 35.424 L at 270 kelvins when P = 1.25 atmospheres. What is the volume of 3 moles of a gas at 280 kelvins when P = 1.5 atmospheres?
Since volume varies directly with moles and temperature and inversely with pressure, use the ratio V₂ = 35.424 × (3/2) × (280/270) × (1.25/1.5). This gives V₂ = 45.92 L, so the correct choice is 45.92 L.
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