For a certain system, the thermodynamic energy U is given as a function of S,V, and n by U=U(S,V,n)=Kn^((5)/(3))V^(-(2)/(3))e^(2(s)/(3)nR)
Where S is the entropy, V is the volume, n is the number of moles, K is a constant, and R is the gas constant.
a. According to thermodynamic theory, T=(del(U)/(d)elS)_(V,n)
Find an expression for (del(U)/(d)elS)_(V,n)
b. According to thermodynamic theory, P=-(del(U)/(d)elV)_(S,n)
Find an expression for (del(U)/(d)elV)_(S,n)
c. Find an expression for (del(U)/(d)eln)_(S,V)
d. Find dU in terms of dS,dV,^(^())dn.
3. For a certain system,the thermodynamic energy U is given as a function of S, V,and n by U=U(S,V,n)=Kn5/3v-2/3 e2s/3nR Where S is the entropy, V is the volume, n is the number of moles, K is a constant, and R is the gas
constant.
a.According to thermodynamic theory,T=U/ S)v.n
Find an expression for (U/ S)v.n
b.According to thermodynamic theory,P=-@U/Vs.
Find an expression for (U/ Vs.n
c.Find an expression for (U/ ns.v
d. Find dU in terms of dS,dV,Adn.