It the specific heat of a gas at constant pressure, Cp is . The atomicity of the gas would be

  1. monoatomic
  2. diatomic
  3. triatomic
  4. difficult to predict

Answer (Detailed Solution Below)

Option 1 : monoatomic
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UP TGT Arts Full Test 1
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Detailed Solution

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CONCEPT:

  • The molar specific heat capacity of a gas at constant volume is defined as the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant volume.

  • The molar specific heat of a gas at constant pressure is defined as the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.

  • The ratio of the two principal specific heat is represented by γ.

  • The value of γ depends on the atomicity of the gas.

EXPLANATION:

  • For monoatomic gas, 

 

  • For diatomic gas,

  • Therefore, option 1 is correct.

Additional Information   

  • Specific heat capacity at constant volume (CV): It is the amount of heat required to raise the temperature of 1 kg of gas maintained at constant volume by 1 degree Celcius.
  • Specific heat capacity at constant volume (CV) for monoatomic gas is, 

 

  • Specific heat capacity at constant volume (CV) for for diatomic gas,

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