Thermodynamics Question 361
Question: A diatomic gas initially at 18°C is compressed adiabatically to one-eighth of its original volume. The temperature after compression will be
Options:
A) $ 10^{o}C $
B) $ 887^{o}C $
C) $ 668K $
D) $ 144^{o}C $
Show Answer
Answer:
Correct Answer: C
Solution:
[c]$ T{{V}^{\gamma -1}}= $ constant $ \Rightarrow T _{2}=T _{1}{{( \frac{V _{1}}{V _{2}} )}^{\gamma -1}}=(273+18)\ {{( \frac{V}{V/8} )}^{0.4}}=668K $