Please answer this

Asked by nssharma001969 | 3rd Jun, 2020, 01:54: AM

Expert Answer:

Given:
 
Degree of freedom = 75%
 
For triatomic gas,
 
N = 3
 
Degree of freedom = 3N
 
                            = 3×3 =9
 
= transnational DoF + rotational DoF + Vibrational DoF
 
= 3+2+4 = 9
 
energy = 
 
 
equals space 3 over 2 kT space plus space 2 over 2 kT space plus space open parentheses 4 kT close parentheses open parentheses 75 over 100 close parentheses

equals space 3 over 2 kT space plus kT space plus space 3 kT

equals 11 over 2 kT
 
We know,
 
Cv = dU over dT
 
Cv = 11 over 2 straight k
Cv = 11 over 2 straight R
 
Now, we know,
 
Cp - Cv = R
 
Cp = R + Cv 
 
    = R + 11 over 2 straight R
Cp =  13 over 2 straight R
γ =straight C subscript straight p over straight C subscript straight v space equals space fraction numerator begin display style bevelled 11 over 2 end style straight R over denominator begin display style bevelled 13 over 2 end style straight R end fraction
 
γ = 13 over 11
 
γ =straight C subscript straight p over straight C subscript straight v space equals 1.18
 
 
 
 
 
 

Answered by Varsha | 3rd Jun, 2020, 01:14: PM