Download the app

Questions  

4.0 g  of a gas occupies 22.4 litres at NTP. The specific heat capacity of the gas at constant volume is 5.0JK-1 mol-1. If the speed of sound in this gas at NTP is 952 ms-1, then the heat capacity at constant pressure is

(Take gas constant R = 8.3 JK-1mol-1)

Unlock the full solution & master the concept.

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept
By Expert Faculty of Sri Chaitanya
a
7.0JK-1 mol-1
b
8.5JK-1 mol-1
c
8.0JK-1 mol-1
d
7.5JK-1 mol-1

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is C

Since 4.0g of a gas occupies 22.4 litres at NTP, so the molecular mass of the gas isM=4.0 g mol-1As the speed of the sound in the gas isv=γRTMwhere γ is the ratio of two specific heats, R is the universal gas constant and T is the temperature of the gas.∴γ=Mv2RT Here, M=4.0 g mol-1=4.0×10-3 kg mol-1v=952 ms-1,R=8.3JK-1 mol-1 and T=273 K (at NTP) ∴  γ=4.0×10-3 kg mol-1952 ms-128.3JK-1 mol-1(273 K)=1.6By definition, γ=CpCv   or   Cp=γCv But γ=1.6 and Cv=5.0JK-1 mol-1∴  Cp=(1.6)5.0JK-1 mol-1                  =8.0JK-1 mol-1


Similar Questions

A disc can rotate about an axis passing through its centre and perpendicular to the plane of the disc. Initially the disc is stationary and its moment of inertia about the axis is 4 Kg-m2. A torque is applied on the disc which varies with time according to the graph shown in figure. Then angular velocity of the disc at the end of 6th second is 

Get your all doubts cleared from
Sri Chaitanya experts

counselling
india
+91

whats app icon
phone icon