Kinetic Theory Of Gases Question 74

Question: Two different masses m and 3m of an ideal gas are heated separately in a vessel of constant volume, the pressure P and absolute temperature T, graphs for these two cases are shown in the figure as A and B. The ratio of slopes of curves B to A is

Options:

A) 3 : 1

B) 1 : 3

C) 9 : 1

D) 1 : 9

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ PV=\frac{m}{M}RT;\

Therefore \frac{P}{T}=Cm $

$ \text{or }\frac{\text{slope of }B}{\text{slope of }A}=\frac{m _{B}}{m _{A}}=\frac{3m}{m}=3 $