4.0 g of a gas occupies 22.4 litres at NTP. The specific heat capacity of the gas at constant volume is 5.0 J K-1 mol-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 mol-1)
- 7.0 J K-1 mol-1
- 8.5 J K-1 mol-1
- 8.0 J K-1 mol-1
- 7.5 J K-1 mol-1
Answer
(3) 8.0 J K-1 mol-1
Solution
22.4 L at NTP is 1 mol M = 4.0 g mol-1 = 4 10-3 kg mol-1
v = RTM = v2MRT
= (952)2 4 10-38.3 273
= 3625.22265.9 1.6
Cp = Cv = 1.6 5.0 = 8.0 J K-1 mol-1
Answer: (3)