A gas has an initial volume of 15.4 L at a pressure of 1.5 atm and a temperature of 310 K. The pressure of the gas decreases to 0.9 atm as the temperature decreases to 268 K. What is the final volume of the gas? Round your answer to the nearest tenth.

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We first assume this gas to be ideal so that we can use the ideal gas equation which is expressed as PV= nRT. We calculate as follows: PV = nRT n and R are constants so we can lump them as one and identify its value from the first given conditions. PV/T = k k = 1.5(15.4) / 310 k = 0.07 V = kT / P V = 0.07(268) / 0.9 V = 20.84 L

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