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 $