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An ideal gas follows a process described by the equation PV²=C from the initial (P₁,V₁,T₁) to the final (P₂,V₂,T₂) thermodynamic states, where C is a constant. Then:

Asked in NEET Re-2022 · Ideal Gas Equation and Mixtures

• (1) If P₁>P₂ then V₁>V₂
• (2) If P₁>P₂ then T₁<T₂
• (3) If V₂>V₁ then T₂>T₁
• (4) If V₂>V₁ then T₂<T₁

Step-by-step solution

Why the other options are wrong

• (1) On PV²=C the pressure falls as the volume grows, so P₁>P₂ forces V₁<V₂, not the other way round.
• (2) Combining PV²=C with PV=nRT gives TV= constant, so the higher-pressure state is the smaller-volume one and therefore the hotter one: P₁>P₂ gives T₁>T₂.
• (3) Reads TV= constant as T∝ V; it is an inverse relation, so a larger volume goes with a lower temperature.

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