An evacuated glass vessel weighs 40.0 g when empty, 135.0 g when filled with a liquid of density and 40.5 g when filled with an ideal gas at 0.82 atm at 250 K . The molar mass of the gas in is :
(Given : )
(Given : )
- (A)35
- (B)50
- (C)75
- (D)125✓ Correct
Answer: (D)
Solution
First find the volume of the vessel:
For the gas:
- Mass of liquid = 135 - 40 = 95 g
- Volume = mass/density = 95/0.95 = 100 mL = 0.1 L
For the gas:
- Mass of gas = 40.5 - 40 = 0.5 g
- Using ideal gas equation: PV = nRT
- 0.82 × 0.1 = (0.5/M) × 0.082 × 250
- M = (0.5 × 0.082 × 250)/(0.82 × 0.1) = 125 g/mol
JEE Main · 2022 · 26 Jun 2022 · Shift 1 · Single correct option