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NEET2015PhysicsKinetic Theory of GasesActual

4.0   g of a gas occupies 22.4 liters at NTP. The specific heat capacity of the gas at constant volume is 5.0   J   K - 1   m o l - 1 . If the speed of sound in this gas at NTP is 952   m   s - 1 , then the heat capacity at constant pressure is (Take gas constant R = 8.3   J   K - 1   m o l - 1 )

Options

  1. A7.5 J K - 1 m o l - 1
  2. B7.0 J K - 1 m o l - 1
  3. C8.5 J K - 1 m o l - 1
  4. D8.0   J  K - 1   m o l - 1

Correct answer

D. 8.0   J  K - 1   m o l - 1

Step-by-step solution

No. of mole of gas = 1 so molar mass = 4g/mole v = γ R T m     ⇒ 952 × 952 = γ × 8 .3 × 273 4 × 10 - 3 ⇒ γ = 1.6 = 16 10 = 8 5 C P = 8.0   J   K - 1   mol - 1

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