Question

For an ideal gas, γ = 1.4. Find out the two molar specific heats of this gas.

Answer 1

Answer:

The molar specific heat capacity of a gas at constant volume (Cv) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant volume. Its value for monatomic ideal gas is 3R/2 and the value for diatomic ideal gas is 5R/2.

The molar specific heat of a gas at constant pressure (Cp) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure. Its value for monatomic ideal gas is 5R/2 and the value for diatomic ideal gas is 7R/2.

Answer 2

Explanation:

C

p

−C

v

=R

⟹

C

v

C

p

−

C

v

C

v

=

C

v

R

γ−1=

C

v

R

∴C

v

=

γ−1

R

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