1moles of an ideal gas are in equilibrium at fixed pressure (e. g. 106 pa) and temperature (e. g. 300 k).

1) what is the derivative of the gas' g with respect to volume for those conditions?

at fixed t, p,n dg/dv=
j/m3

2) what is the equilibrium volume for those conditions?

v=
m3

3) the two key features of an ideal gas are:

a) u depends only on n and t, not v.
b) the v dependence of s is given by a term nk*ln(v)

for a gas that obeys (a) but has some excluded volume so s goes as nkln(v? nb)nkln? (v? nb), with b=1.1 × 10-28 m3, find the equilibrium volume v. all other conditions are the same as above.
save the algebraic expression you obtain for v here because you will need it in another exercise from this section.