Question

For ideal polyatomic gas molar specific heat is equal to
A) 24.9 J/mol.K
B) 12.9 J/mol.K
C) 15 J/mol.K
D) 16 J/mol.K

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Answer 1

Answer:

here the answer is 24.9J/mol.K

Explanation:

it is an easy way to derive these values but such minor things are better to memorize.

Answer 2

Given:

An ideal polyatomic gas

To find:

Molar specific heat

Solution:

According to the kinetic theory of gases,

The translational kinetic energy of the molecules in n moles of gas= f/2 nRT

(where f = the degrees of freedom of the ideal gas)

Also, $C_V = (\frac{du}{dT})_v$

From the two equations, we can conclude that Cv = f/2 R

For a polyatomic gas, the number of degrees of freedom is 6.

So, Cv = 6/2 R

If R = 8.314

Cv= 3 X 8.314

= 24.9 J/mol.K

Hence, the molar specific heat for an ideal polyatomic gas is A) 24.9 J/mol.K.