Thermodynamics Question 24
Question: An ideal gas is expanded adiabatically at an initial temperature of 300 K so that its volume is doubled. The final temperature of the hydrogen gas is $ (\gamma =1.40) $
[MP PMT 1995; DPMT 1999]
Options:
A) $ {{P}^{\gamma }}V $ = constant
B) $ {{T}^{\gamma }}V $ = constant
C) $ T{{V}^{\gamma -1}} $ =constant
D) $ T{{V}^{\gamma }} $ = constant
Show Answer
Answer:
Correct Answer: C
Solution:
In adiabatic process $ P{{V}^{\gamma }}= $ constant
Therefore $ ( \frac{RT}{V} ).{{V}^{\gamma }}= $ constant
Therefore $ T{{V}^{\gamma -1}} $ = constant
