Thermodynamics Question 329
Question: P.T graph of an ideal gas of equal number of moles of different volumes are plotted as shown. Choose the correct answer
Options:
A) $ V _{1}=V _{2}>V _{3}=V _{4} $
B) $ V _{1}=V _{2}<V _{3}=V _{4} $
C) $ V _{1}=V _{2}=V _{3}=V _{4} $
D) $ V _{4}>V _{3}>V _{2}>V _{1} $
Show Answer
Answer:
Correct Answer: A
Solution:
[a] In isochoric process,
$ V= $ constant or $ P\alpha T $ i.e., P-T graph is a straight line passing through origin.
But since $ P=(nRT)\frac{1}{V} $
Slope of the straight line $ \alpha \frac{1}{V} $
$ {{(\text{slope)}} _{12}}<{{(\text{slope)}} _{34}} $
$ V _{1}=V _{2}>V _{3}=V _{4} $
