Thermodynamics Question 8

Question: Two identical samples of a gas are allowed to expand (i) isothermally (ii) adiabatically. Work done is

[MNR 1998]

Options:

A) 450 K

B) 375 K

C) 225 K

D) 405 K

Show Answer

Answer:

Correct Answer: B

Solution:

$ \frac{T _{2}}{T _{1}}={{( \frac{V _{1}}{V _{2}} )}^{\gamma -1}}\Rightarrow T _{2}=300{{( \frac{27}{8} )}^{\frac{5}{3}-1}}=300{{( \frac{27}{8} )}^{\frac{2}{3}}} $

$ =300{{{ {{( \frac{27}{8} )}^{1/3}} }}^{2}}=800{{( \frac{3}{2} )}^{2}}=675K $

$ \Rightarrow \ \Delta T=675-300=375\ K $



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