Thermodynamics Question 43

Question: A gas is suddenly compressed to 1/4 th of its original volume at normal temperature. The increase in its temperature is $ (\gamma =1.5) $

[DCE 2004]

Options:

A) $ (T+2.4)K $

B) $ (T-2.4)K $

C) $ (T+4)K $

D) $ (T-4)K $

Show Answer

Answer:

Correct Answer: D

Solution:

$ W=\frac{R(T _{i}-T _{f})}{\gamma -1} $

Therefore $ 6R=\frac{R(T-T _{f})}{( \frac{5}{3}-1 )} $

Therefore $ T _{f}=(T-4)K. $



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