If one mole of the polyatomic gas is having two vibrational modes and β is the ratio of molar specific heats for polyatomic gas (β=( C P / C v )) then the value of β is:

Question

If one mole of the polyatomic gas is having two vibrational modes and β is the ratio of molar specific heats for polyatomic gas (β=( C P / C v )) then the value of β is: (A) 1.02 (B) 1.2 (C) 1.25 (D) 1.35

Tardigrade Admin · Accepted Answer

f =4+3+3=10 assuming non linear β=( C p / C v )=1+(2/ f )=(12/10)=1.2

Q. If one mole of the polyatomic gas is having two vibrational modes and $β$ is the ratio of molar specific heats for polyatomic gas $(β = \frac{C _{P}}{C _{v}})$ then the value of $β$ is:

$1.02$

$1.2$

$1.25$

$1.35$

$f = 4 + 3 + 3 = 10$
assuming non linear
$β = \frac{C _{p}}{C _{v}} = 1 + \frac{2}{f} = \frac{12}{10} = 1.2$

Q. If one mole of the polyatomic gas is having two vibrational modes and β is the ratio of molar specific heats for polyatomic gas (β=Cv​CP​​) then the value of β is:

1.02

1.2

1.25

1.35