Kinetic Theory Of Gases Question 18
A certain mass of an ideal diatomic gas contained in a closed vessel is heated; it is observed that the temperature remains constant; however, half the amount of gas gets dissociated; the ratio of the heat supplied to the gas to the initial internal energy of the gas will be
Options:
1:2
B) 1 : 4
C) 1:5
D) 1 : 10
Show Answer
Answer:
Correct Answer: D
Solution:
[d] $ U _{1}=n( \frac{5R}{2} )T $
$ AndU _{2}=\frac{2}{n}( \frac{5R}{2} )T+\frac{2n}{2}( \frac{3R}{2} )T=n( \frac{11R}{4} )T $
$ U _{2}=U _{1}+Q $
$ \
Therefore \frac{Q}{U _{1}}=\frac{U _{2}}{U _{1}}-1=\frac{11}{10}-1=\frac{1}{10} $
BETA
