Answer:
[tex]A_1-A_2=\left (U_1+P_0V_1-T_0S_1 \right )-\left (U_2+P_0V_2-T_0S_2 \right )[/tex]
Explanation:
Lets take property of system
At state 1
[tex]T_1 =temperature[/tex]
[tex] U_1 =internal\ energy[/tex]
[tex] V_1= Volume [/tex]
At state 2
[tex]T_2=temperature[/tex]
[tex] U_2=internal\ energy[/tex]
[tex] V_2=Volume [/tex]
And the Surrounding have
[tex]T_0 =temperature[/tex]
[tex]P_ 0=pressure[/tex]
As we know that Availability of a close system given as follows
[tex]A=U+P_0V-T_0S[/tex]
So change in availability of a close system
[tex]A_1-A_2=\left (U_1+P_0V_1-T_0S_1 \right )-\left (U_2+P_0V_2-T_0S_2 \right )[/tex]
Where
[tex]S_1-S_2\ is \ the\ entropy\ change\ of\ system\ from\ state\ 1\ to\ 2[/tex]
