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COMEDK20269 May 2026Morning ShiftPhysicsKinetic Theory of GasesActual

An ideal gas has molar specific heat 5R 2 at constant pressure. If 1662 J of heat brings about 50 K temperature change, the number of moles of gas is

Options

  1. A0.6
  2. B2.6
  3. C2
  4. D1.6

Correct answer

D. 1.6

Step-by-step solution

Given the molar specific heat at constant pressure, C_p = 5R 2 The heat supplied at constant pressure is given by: Q = n C_p T Substituting the given values ( Q = 1662 J, T = 50 K, and R = 8.31 J mol ⁻¹ K ⁻¹ ): 1662 = n ( 5 8.31 2 ) 50 1662 = n 125 8.31 1662 = n 1038.75 n = 1662 1038.75 = 1.6 Answer: 1.6

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