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JEE Advanced Previous Year Questions 
(2021-2023): Gaseous State 
2023 
Numerical Type 
JEE Advanced 2023 Paper 1 Online 
Q1. A gas has a compressibility factor of 0.5 and a molar volume of ?? . ?? ????
?? ?? ???? - ?? at a 
temperature of ?? ?? ?? ?? and pressure ?? atm. If it shows ideal gas behaviour at the same 
temperature and pressure, the molar volume will be ????
?? ?? ?? ?? - ?? . The value of ?? / ?? is 
[Use: Gas constant, ?? = ?? × ????
- ?? ?? ?? ?? ?? ?? - ?? ?? ?? ?? - ?? ] 
Ans: 100 
For gas : Z = 0 . 5 , V
m
= 0 . 4 L / m o l 
T = 800 K , P = X atm.  
? Z =
PV
m
RT
 
?
X ( 0 . 4 )
0 . 08 × 800
= 0 . 5 
? X = 8 0 
For ideal gas, PV
m
= RT 
? V
m
=
RT
P
=
0 . 08 × 800
80
= 0 . 8 L m o l
- 1
= y 
Then, 
?? ?? =
80
0 . 8
= 100. 
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