Thermodynamics Question 7
Question: An ideal gas at $ 27^{o}C $ is compressed adiabatically to $ \frac{8}{27} $ of its original volume. If $ \gamma =\frac{5}{3} $ , then the rise in temperature is
[CPMT 1984; CBSE PMT 1999; DPMT 2000; BHU 2001; Pb. PET 2001; UPSEAT 2002, 03; KCET 2003;]
Options:
A) 1/128
B) 32
C) 128
D) None of the above
Show Answer
Answer:
Correct Answer: C
Solution:
Volume of the gas $ V=\frac{m}{d} $
and using $ P{{V}^{\gamma }} $ = constant .
We get $ \frac{P’}{P}={{( \frac{V}{V’} )}^{\gamma }}={{( \frac{d’}{d} )}^{\gamma }}={{(32)}^{7/5}}=128 $
