Question
The molar specific heat of hydrogen is 3/2R in lower range of temperature and 5/2 R in the range of temperature about 750K and 7/2 R in higher range of temperature; what do you think is happening?
Solution
Given,
Molar specific heat of hydrogen in the lower range of temperature = 3/2 R
Molar specific heat of hydrogen in the high range of temperature = 5/2 R
Molar specific heat of hydrogen in the higher range of temperature = 7/2 R
We can see here that in the lower range of temperature, the hydrogen gas has only three degrees of freedom corresponding to translational motion.
As the temperature increases in the range of 250K to 750K, the diatomic gas has both translational and rotational motion. Hence, hydrogen gas has five degree of freedom.
At further higher temperature degree of freedom further increases by two due to vibration motion. the total degree of freedom at a much higher temperature becomes 7.
Molar specific heat of hydrogen in the lower range of temperature = 3/2 R
Molar specific heat of hydrogen in the high range of temperature = 5/2 R
Molar specific heat of hydrogen in the higher range of temperature = 7/2 R
We can see here that in the lower range of temperature, the hydrogen gas has only three degrees of freedom corresponding to translational motion.
As the temperature increases in the range of 250K to 750K, the diatomic gas has both translational and rotational motion. Hence, hydrogen gas has five degree of freedom.
At further higher temperature degree of freedom further increases by two due to vibration motion. the total degree of freedom at a much higher temperature becomes 7.
