The molar specific heat at constant pressure of an ideal gas is (7 / 2) R. The ratio of specific heat at constant pressure to that at constant volume is

Question

The molar specific heat at constant pressure of an ideal gas is (7 / 2) R. The ratio of specific heat at constant pressure to that at constant volume is (A) (9/7) (B) (7/5) (C) (8/7) (D) (5/7)

Tardigrade Admin · Accepted Answer

Cp=(7/2) R CV=Cp-R =(5/2) R ∴ (Cp/CV)=(7/5)

Q. The molar specific heat at constant pressure of an ideal gas is $(7/2) R$ . The ratio of specific heat at constant pressure to that at constant volume is

$\frac{9}{7}$

$\frac{7}{5}$

$\frac{8}{7}$

$\frac{5}{7}$

$C_{p} = \frac{7}{2} R$
$C_{V} = C_{p} - R$
$= \frac{5}{2} R$
$∴ \frac{C _{p}}{C _{V}} = \frac{7}{5}$

Q. The molar specific heat at constant pressure of an ideal gas is (7/2)R. The ratio of specific heat at constant pressure to that at constant volume is

79​

57​

78​

75​