NDA 2026 · PYQ · Thermodynamics / Ideal Gas · medium
In a certain process, the relation between pressure (P) and volume (V), for an ideal gas, is given by PV² = constant. If the initial temperature is T₁ and the final temperature is T₂; and the initial volume is V₁ and the final volume is V₂, then which one of the following is correct?
A.T₁/T₂ = V₁/V₂
B.T₁/T₂ = (V₁/V₂)²
C.T₁/T₂ = V₂/V₁✓ Correct
D.T₁/T₂ = (V₂/V₁)²
Explanation
For an ideal gas, PV = nRT, so P = nRT/V. Substituting into PV² = constant: (nRT/V)V² = nRTV = constant. Therefore, TV = constant, which means T₁V₁ = T₂V₂. Rearranging: T₁/T₂ = V₂/V₁. Therefore, option (c) is correct.
💡 Practice unlimited NDA PYQs + AI-tracked progress on each topic. Sign up free →
Want more NDA practice?
Free daily 10-Q quiz · adaptive mocks · 4,000+ verified PYQs · AI doubt solver in Hindi + English