Kinetic Theory Of Gases Question 156
Question: A flask is filled with 13 gm of an ideal gas at $ 27{}^\circ C $ and its temperature is raised to $ 52{}^\circ C $ . The mass of the gas that has to be released to maintain the temperature of the gas in the flask at $ 52{}^\circ C $ and the pressure remaining the same is
Options:
A) 2.5 g
B) 2.0 g
C) 1.5 g
D) 1.0 g
Show Answer
Answer:
Correct Answer: D
Solution:
[d] $ PV=mrT $ Since P,V,r $ \to $ remains same Hence, $ m,\infty \frac{1}{T}\Rightarrow \frac{m _{1}}{m _{2}}=\frac{T _{2}}{T _{1}}\Rightarrow \frac{13}{m _{2}}=\frac{( 273+52 )}{( 273+27 )}=\frac{325}{300} $
$ \Rightarrow m _{2}=12gm $ i.e., mass released $ =13gm-12gm=1gm $
BETA
