Thermodynamics Question 50
Question: The volume of a gas is reduced adiabatically to $ \frac{1}{4} $ of its volume at 27°C, if the value of $ \gamma =1.4, $ then the new temperature will be
[DPMT 2000]
Options:
A) ?166 J
B) 166 J
C) ?168 J
D) 168 J
Show Answer
Answer:
Correct Answer: B
Solution:
Change in internal energy of the gas $ \Delta U=-\Delta W\frac{R}{\gamma -1}[ T _{2}-T _{1} ] $
$ =\frac{8.3}{(1.4-1)}[308-300]=166J $
