Kinetic Theory Of Gases Question 1
Question: One mole of an ideal monatomic gas requires 210 J heat to raise the temperature by 10 K, when heated at constant temperature. If the same gas is heated at constant volume to raise the temperature by 10 K then heat required is
Options:
A) 238 J
B) 126 J
C) 210 J
D) 350 J
Show Answer
Answer:
Correct Answer: B
Solution:
[b] $ Q _{p}=\mu C _{P}\Delta T $ and $ Q _{v}=\mu C _{v}\Delta T $
$ \Rightarrow \frac{QV}{QP}=\frac{CV}{CP}=\frac{\frac{3}{2}R}{\frac{5}{2}R}=\frac{3}{5} $
$ [ \
Therefore ( CV )_mono=\frac{3}{2}R,(C_P)_mono=\frac{5}{2}R ] $
$ \Rightarrow QV=\frac{3}{5}\times (\Delta Q)P=\frac{3}{5}\times 210=126J $
BETA
