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PhysicsJEE Main 8 Apr 2026, Shift 2·Q10·MCQ·Moderate

Thermodynamics · Laws of thermodynamics

One mole of diatomic gas having rotational modes only is kept is a cylinder with a piston system. The cross-section area of the cylinder is 4 cm24\ \mathrm{cm^2}. The gas is heated slowly to raise the temperature by 1.2 ∘1.2\ ^\circC during which the piston moves by 25 mm. The amount of heat supplied to the gas is J. (Atmospheric pressure =100= 100 kPa, R=8.3R = 8.3 J/mol.K) (Neglect mass of the piston)
  1. (1)24.8
  2. (2)25
  3. (3)15.04
  4. (4)29.98

Flawed question. The data are inconsistent: with a free piston at 100 kPa, PΔVP\Delta V must equal nRΔT=9.96nR\Delta T = 9.96 J, but a 25 mm travel gives 1.0 J; no option equals the consistent Q=34.9Q = 34.9 J, and the key 25 is only the option nearest to 24.9+1.0=25.924.9 + 1.0 = 25.9 J. It is shown for completeness and is left out of practice tests.

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