Question

For a rigid diatomic molecule, universal gas constant R = nC_p where 'C_P' is the molar specific heat at constant pressure and 'n' is a number. Hence 'n' is equal to ______.

Options

• 0.2257

• 0.4

• 0.2857

• 0.3557

Answer 1

For a rigid diatomic molecule, universal gas constant R = nC_p where 'C_P' is the molar specific heat at constant pressure and 'n' is a number. Hence 'n' is equal to 0.2857.

Explanation:

For rigid diatomic molecule, `"C"_"p"/"C"_"v"=7/5`

∴ C_v = `5/7`C_p                ...(i)

Also, C_p - C_v = R

or, C_p `-5/7` C_p = R

⇒ `2/7` C_p = R

n = `2/7`

= 0.2857