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NEET2014PhysicsThermodynamicsActual

70 calories of heat are required to raise the temperature of 2 moles of an ideal gas at constant pressure from 30^ C to 35^ C . The amount of heat required to raise the temperature of the same sample of the gas through the same range at constant volume is ( Gas constant =1.99 cal / K - mole )

Options

  1. A30 cal
  2. B50 cal
  3. C70 cal
  4. D90 cal

Correct answer

B. 50 cal

Step-by-step solution

As d Q=C_P m T 70=C_P 2(35-30) C_P=7 cal / mole / ^ C C_V=C_P-R=7-1.99=5.01 cal mol ⁻¹ ^ C ⁻¹ d Q^ =C_V m T =5.01 2 (35-30)=50.1 cal

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