Are these eqns on pg 160 applicable for free exapansion Equation 6 1,△U=q+w can be expressed for - Chemistry - Thermodynamics

Question

Are these eqns on pg 160 applicable for free exapansion ?

E q u a t i o n   6 1 , △ U = q + w   c a n  
b e   e x p r e s s e d   f o r   i s o t h e r m a
l   i r r e v e r s i b l e a n d   r e v e r s i b l e
  c h a n g e s   a s   f o l l o w s : 1   F o
r   i s o t h e r m a l   i r r e v e r s i b l e  
c h a n g e q = - w = p e x V f - V i 2   F o r   i s o t
h e r m a l   r e v e r s i b l e   c h a n g e q = - w =
n R T ln V f V i = 2 303 n R T log V f V i 3   F o r   a
d i a b a t i c   c h a n g e ,   q = 0 △ U = w a d

Bharti Paliwal · Accepted Answer

Dear Student

Thus the equation are applicable for free expansion and the value
obtained will be equal to zero for all three equations

Regards