CV and CP denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then, (1) CV-CP larger for a diatomic ideal gas than for a monoatomic ideal gas (2) CP+CV is larger for a diatomic ideal gas than for a monoatomic ideal gas (3) (CP/CV) is larger for a diatomic ideal gas than for a monoatomic ideal gas (4) CP.CV is larger for a diatomic ideal gas than for a monoatomic ideal gas

Question

CV and CP denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then, (1) CV-CP larger for a diatomic ideal gas than for a monoatomic ideal gas (2) CP+CV is larger for a diatomic ideal gas than for a monoatomic ideal gas (3) (CP/CV) is larger for a diatomic ideal gas than for a monoatomic ideal gas (4) CP.CV is larger for a diatomic ideal gas than for a monoatomic ideal gas (A) 1, 2 and 3 are correct (B) 1 and 2 are correct (C) 2 and 4 are correct (D) 1 and 3 are correct

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

1, 2 and 3 are correct

1 and 2 are correct

2 and 4 are correct

1 and 3 are correct

For monoatomic gas, Cp​=25​R and CV​=23​R For diatomic gas, CP​=27​R and CV​=25​R

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 $C_{V} = \frac{5}{2} R$