Thermodynamics Question 49
Question: One mole of an ideal gas with $ \gamma =1.4 $ , is adiabatically compressed so that its temperature rises from 27°C to 35°C. The change in the internal energy of the gas is $ (R=8.3J/mol.K) $
[EAMCET 2001]
Options:
A) 1 : 16
B) 1 : 8
C) 1 : 4
D) 8 : 1
Show Answer
Answer:
Correct Answer: D
Solution:
$ P _{1}V _{1}^{\gamma }=P _{2}V _{2}^{\gamma } $
Therefore $ \frac{P _{2}}{P _{1}}={{[ \frac{V _{1}}{V _{2}} ]}^{\gamma }}={{[ \frac{4}{1} ]}^{3/2}}=\frac{8}{1} $
