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 )

Question

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 ), 7.5 J K - 1 m o l - 1, 7.0 J K - 1 m o l - 1, 8.5 J K - 1 m o l - 1, 8.0 J K - 1 m o l - 1

MARKS App · Accepted Answer

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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