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States Of Matter

Question
CBSEENCH11008368

The pressure exerted by 6.0 g of methane gas in a 0.03 m3 vessel at 129o C is (Atomic masses C = 12.01, H = 1.01 and R = 8.314 JK-1 mol-1)

  • 215216 Pa

  • 13409 Pa

  • 41648 Pa

  • 31684 Pa

Solution

C.

41648 Pa

Given,
Volume , V = 0.03 m3
Temperature, T = 129 + 273 = 402 K
mass of methane, w = 6.0 g
mol. Mass of methane, M = 12.01 + 4 x 1.01 = 16.05
From, ideal gas equation,
pV = nRT
straight p space equals fraction numerator 6 over denominator 16.05 end fraction space straight x space fraction numerator 8.314 space straight x space 402 over denominator 0.03 end fraction space space equals space 41648 space Pa