ThermodynamicsEasy

Question

Two cylinders A and B fitted with pistons contain equal amounts of an ideal diatomic gas at 300 K. The piston of A is free to move while that of B is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise in temperature of the gas in A is 30K, then the rise in temperature of the gas in B is :-

Options

A.30 K
B.18 K
C.50 K
D.42 K

Solution

In both cylinders A and B the gases are diatomic (γ = 1.4). Piston A is free to move i.e., it is isobaric process. Piston B is fixed i.e., it is isochoric process. If same amount of heat ᐃQ is given to both then
(ᐃQ)isobaric = (ᐃQ)isochoric ⇒ μCp(ᐃT)A = μCv(ᐃT)B
⇒ (ᐃT)B = (ᐃT)A = γ (ᐃT)A = 1.4 × 30 = 42 K

Create a free account to view solution

View Solution Free
Topic: Thermodynamics·Practice all Thermodynamics questions

More Thermodynamics Questions

In the above question, minimum pressure attainable is...One mole ideal gas is compressed adiabatically at 27oC. Its temperature becomes 102oC. The work done in this process wil...A bimetallic strip consists of metals X and Y. Its is mounted rigidly at the base as shown. The metal X has a higher coe...One mole of monoatomic gas is taken round the cyclic process. Heat absorbed by gas in process AB is :-...What is required heat of one mole of H2 gas at constant pressure when its temperature increase by 10oC :-...