At ordinary temperature, the molecules of an ideal gas have only translational and rotational kinetic energies. At high temperatures 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 temperatures 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,

C_{V} = \frac{3}{2} R

The value is same for high temperature also.
In case of diatomic gas

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

(at low temperature)
Also,

C_{V} > \frac{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 temperatures 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 temperatures 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 temperatures 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