Cv and Cp denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then,

Question

Cv and Cp denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then, (A) Cp - Cv is larger for a diatomic ideal gas than for a monoatomic ideal gas (B) Cp + Cv is larger for a diatomic ideal gas than for a monoatomic ideal gas (C) (Cp/Cv)is larger for a diatomic ideal gas than for a monoatomic ideal gas (D) Cp. Cv is larger for a diatomic ideal gas than for a monoatomic ideal gas

Tardigrade Admin · Accepted Answer

For monoatomic gas, Cp =(5/2)R and Cv =(3/2)R For diatomic gas, Cp=(7/2)R and Cv=(5/2)R

Q. C $_{v}$ and C $_{p}$ denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then,

$C_{p}$ - $C_{v}$ is larger for a diatomic ideal gas than for a monoatomic ideal gas

$C_{p}$ + $C_{v}$ is larger for a diatomic ideal gas than for a monoatomic ideal gas

$\frac{C _{p}}{C _{v}}$ is larger for a diatomic ideal gas than for a monoatomic ideal gas

$C_{p}$ . $C_{v}$ is larger for a diatomic ideal gas than for a monoatomic ideal gas

For monoatomic gas, $C_{p} = \frac{5}{2} R$ and $C_{v} = \frac{3}{2} R$
For diatomic gas, $C_{p} = \frac{7}{2} R$ and $C_{v} = \frac{5}{2} R$

Q. Cv​ and Cp​ denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then,

Cp​ - Cv​ is larger for a diatomic ideal gas than for a monoatomic ideal gas

Cp​ + Cv​ is larger for a diatomic ideal gas than for a monoatomic ideal gas

Cv​Cp​​is larger for a diatomic ideal gas than for a monoatomic ideal gas

Cp​. Cv​ is larger for a diatomic ideal gas than for a monoatomic ideal gas