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The pressure and volume of an ideal gas are related as PV^3/2=K, where K is a constant. The work done when the gas is taken from the state A(P₁,V₁,T₁) to the state B(P₂,V₂,T₂) is

Asked in JEE Main 1st Feb 1st Shift 2024 · Work from a Stated P-V Law

• (1) 2(P₂V₂-P₁V₁)
• (2) 2(P₁V₁-P₂V₂)
• (3) 2(P₂√V₂-P₁√V₁)
• (4) 2(√P₁V₁-√P₂V₂)

Step-by-step solution

Why the other options are wrong

• (1) comes from reverses the two states, which flips the sign of the work
• (3) comes from mishandles V^3/2 as V√V and leaves a stray root on the volume
• (4) comes from puts the root on the pressure instead

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