At ordinary temperature, the molecules of an ideal gas have only translational and rotational kinetic energies. At high tempera-tures they may also have vibrational energy. As a result of this at higher temperatures ( CV = molar heat capacity at constant volume)

Question

At ordinary temperature, the molecules of an ideal gas have only translational and rotational kinetic energies. At high tempera-tures they may also have vibrational energy. As a result of this at higher temperatures ( CV = molar heat capacity at constant volume) (A)  CV=(3/2)R for a monoatomic gas (B)  CV>(3/2)R for a monoatomic gas (C)  CV<(5/2)R for a diatomic gas (D)  CV=(5/2)R for a diatomic gas

Tardigrade Admin · Accepted Answer

At ordinary temperature, the vibrational kinetic energy of a monoatomic gas is zero. So, CV=(3/2)R The value is same for high temperature also. In case of diatomic gas CV=(5/2)R (at low temperature) Also, CV=(5/2)R (at high temperature due to vibrational kinetic energy)

Q. At ordinary temperature, the molecules of an ideal gas have only translational and rotational kinetic energies. At high tempera-tures they may also have vibrational energy. As a result of this at higher temperatures ( $C_{V}$ = molar heat capacity at constant volume)

$C_{V} = \frac{3}{2} R$ for a monoatomic gas

$C_{V} > \frac{3}{2} R$ for a monoatomic gas

$C_{V} < \frac{5}{2} R$ for a diatomic gas

$C_{V} = \frac{5}{2} R$ for a diatomic gas

Q. At ordinary temperature, the molecules of an ideal gas have only translational and rotational kinetic energies. At high tempera-tures they may also have vibrational energy. As a result of this at higher temperatures ( CV​ = molar heat capacity at constant volume)

CV​=23​R for a monoatomic gas

CV​>23​R for a monoatomic gas

CV​<25​R for a diatomic gas

CV​=25​R for a diatomic gas

At ordinary temperature, the vibrational kinetic energy of a monoatomic gas is zero. So, CV​=23​R The value is same for high temperature also. In case of diatomic gas CV​=25​R (at low temperature) Also, CV​=25​R (at high temperature due to vibrational kinetic energy)

Q. At ordinary temperature, the molecules of an ideal gas have only translational and rotational kinetic energies. At high tempera-tures they may also have vibrational energy. As a result of this at higher temperatures ( $C_{V}$ = molar heat capacity at constant volume)

$C_{V} = \frac{3}{2} R$ for a monoatomic gas

$C_{V} > \frac{3}{2} R$ for a monoatomic gas

$C_{V} < \frac{5}{2} R$ for a diatomic gas

$C_{V} = \frac{5}{2} R$ for a diatomic gas