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JEE Main 2026 · 5 Apr · Shift 2, Physics question 34

An ideal gas at pressure PP and temperature TT is expanding such that PT3PT^3 = constant. The coefficient of volume expansion of the gas is ________.

Choose one option
Answer and worked solution

Official answer: C

Volume against temperature. V∝TPV\propto\dfrac TP and P∝T−3P\propto T^{-3}, so V∝T4V\propto T^4.

Coefficient.
γ=1VdVdT=4T.\gamma=\frac1V\frac{dV}{dT}=\frac4T.

(C)

Topics:Temperature and thermal expansionIdeal gas equation
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