Home Physics Kinetic Theory of Gases Pressure All the gas obey's ideal gas law P = nRT. Wh…
Physics Kinetic Theory of Gases Pressure Numeric Response
Published on: September 12, 2026

All the gas obey's ideal gas law P = nRT. Where n is the number of mole per unit volume of the gas.

An experiment is performed on O 2 gas kept in a cylinder fitted with piston of cross-section area 10 cm 2 . The gas is allowed to leak to the surrounding if pressure of the gas increases to 1.5 atm, and air (N 2 + O 2 ) comes in the cylinder if pressure decreases to 0.5 atm. It indicate in any case pressure of gas cannot be more than 1.5 atm and less than 0.5 atm. Initially volume of gas is 1m 3 .

(i) What is the maximum mass that can be put over the piston –

A
10 kg 10 N 32 gm
B
1kg 50 N 60 gm
C
5kg 5 N 12 gm
D
1/2kg (ii)How much external force should be applied to piston to get minimum pressure– 20 N (iii)If the process is repeated very large number of times and it is found that O 2 and N 2 both has equal no. of mole then find the mass of gas if temperature is 300 K and pressure is 1 atm and volume 10 litre – 28 gm

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The correct answer is:
5

Ans.

(i)

Sol.5 Kg

(ii)

Sol.50N

(iii)

Sol.12 gm

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