Thermodynamics Question 263

Question: One mole of an ideal gas at an initial temperature of T K does 6R joules of word adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is 5/3, the final temperature of gas will be

Options:

A) (T4)K

B) (T+2.4)K

C) (T2.4)K

D) (T+4)K

Show Answer

Answer:

Correct Answer: A

Solution:

[a] T1=T,W=6R joules,γ=53

W=P1V1P2V2γ1=nRT1nRT2γ1

=nR(T1T2)γ1

n=1,T1=TR(TT2)5/31=6R

T2=(T4)K



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