Kinetic Theory Of Gases Question 147
Question: The pressure P, volume V and temperature T of a gas in the jar A and the other gas in the jar B at pressure 2P, volume $ \frac{V}{4} $ and temperature 2T, then the ratio of, the number of molecules in the jar A and B will be
Options:
A) 1 : 1
B) 1 : 2
C) 2 : 1
D) 4 : 1
Show Answer
Answer:
Correct Answer: D
Solution:
[d] $ PV=NkT\Rightarrow \frac{N _{A}}{N _{B}}=\frac{P _{A}V _{A}}{P _{B}V _{B}}\times \frac{T _{B}}{T _{A}} $
$ \Rightarrow $ $ \frac{N _{A}}{N _{B}}=\frac{P\times V\times ( 2T )}{2P\times \frac{V}{4}\times T}=\frac{4}{1} $
BETA
