Multiple Choice

The molar heat capacity for an ideal gas:

Ais zero for an adiabatic process
Correct Answer
Bis infinite for an isothermal process
Correct Answer
Cdepends only on the nature of the gas for a process in which either volume or pressure is constant
Correct Answer
Dis equal to the product of the molecular weight and specific heat capacity for any process
Correct Answer

Solution

Molar heat capacity or molar specific heat capacity is the amount of heat energy required to raise the temperature of 1 mole of a substance. In SI units, molar heat capacity (symbol: cn) is the amount of heat in joules required to raise 1 mole of a substance 1 Kelvin.
By definition,dQ=nCdT, C=molar heat capacity, n=number of moles,
For adiabatic process, dQ=0⇒C=0
For isotherm, dT=0⇒ for finite dQ,C=infinite
For constant volume and pressure, C=Cv​ and C=Cp​ respectively which depend on atomicity of gas undergoing the process.

Again by definition dQ=mcdT, m=mass, c=specific heat
⇒nC=mc
C=mc/n=Mc, where M=molecular weight

Hence all options are correct

SIMILAR QUESTIONS

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Thermodynamics

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Thermodynamics

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Thermodynamics

Specific heat depends on __________, ____________ and ___________.

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