NEET 2025 · PhysicsIdeal gasPrevious Year Question
A container has two chambers of volumes V₁ = 2 litres and V₂ = 3 litres separated by a partition made of a thermal insulator. The chambers contain n₁ = 5 and n₂ = 4 moles of ideal gas at pressures p₁ = 1 atm and p₂ = 2 atm, respectively. When the partition is removed, the mixture attains an equilibrium pressure of:
Answer: (D) 1.6 atm. Correct Answer (D): 1.6 atm From the kinetic theory, PV = ⅔ N(KE), so the product PV is a measure of the total translational energy of the gas.
- A.1.4 atm
- B.1.8 atm
- C.1.3 atm
- D.1.6 atm✓
Correct Answer
(D) 1.6 atm
Solution & Explanation
Correct Answer (D): 1.6 atm From the kinetic theory, PV = ⅔ N(KE), so the product PV is a measure of the total translational energy of the gas. When the partition is removed the total energy (and total PV) is conserved, while the total volume becomes V₁ + V₂. Hence the equilibrium pressure is the energy-weighted (PV-weighted) average: P = (p₁V₁ + p₂V₂)/(V₁ + V₂) = 1.6 atm.
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