JEE Main · 2023 · 24 Jan 2023 · Shift 2 · Heat & Thermodynamics

In an Isothermal change, the change in pressure and volume of a gas can be represented for three different temperature;

T_{3} > T_{2} > T_{1}

as :

(A)(see structure)
(B)(see structure)
(C)(see structure)
(D)(see structure)
✓ Correct

Answer: (D)

Solution

For an isothermal change

P V = n R T

stays constant, so each curve on the pressure-volume plane is a rectangular hyperbola, which rules out the straight-line sketches. Because the product

P V

is larger at a higher temperature, the hyperbola for a hotter gas lies farther from the origin. The correct sketch therefore shows hyperbolas with

T_{1}

nearest the origin and

T_{3}

farthest out, in keeping with

T_{3} > T_{2} > T_{1}

JEE Main · 2023 · 24 Jan 2023 · Shift 2 · Single correct option

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