If the molar specific heat capacity at constant volume of an ideal gas is Cv=(3/2)R , then what is the corresponding molar specific heat capacity of the ideal gas at constant pressure?

Question

If the molar specific heat capacity at constant volume of an ideal gas is Cv=(3/2)R , then what is the corresponding molar specific heat capacity of the ideal gas at constant pressure? (A) (1/2)R (B) (5/2)R (C) (7/2)R (D) (9/2)R

Tardigrade Admin · Accepted Answer

Here, CV=(3/2)R Since CP- CV=R ∴ CP=CV+R=(3/2)R+R=(5/2)R

Q. If the molar specific heat capacity at constant volume of an ideal gas is $C_{v} = \frac{3}{2} R$ , then what is the corresponding molar specific heat capacity of the ideal gas at constant pressure?

$\frac{1}{2} R$

$\frac{5}{2} R$

$\frac{7}{2} R$

$\frac{9}{2} R$

Here, $C_{V} = \frac{3}{2} R$
Since $C_{P} - C_{V} = R$
$∴ C_{P} = C_{V} + R = \frac{3}{2} R + R = \frac{5}{2} R$

Q. If the molar specific heat capacity at constant volume of an ideal gas is Cv​=23​R , then what is the corresponding molar specific heat capacity of the ideal gas at constant pressure?

21​R

25​R

27​R

29​R