Consider an ideal gas ( pv=RT ) and address the following. Your answers may contain p,v,T,cp,R. a) Find the relationship describing how the enthalpy varies with pressure at a constant temperature, i.e., determine the functional form of (h/p)T b) Find a relationship for how the entropy varies with pressure at a constant temperature, i.e., (s/p)T For the next two parts, now consider a gas that is described by the following truncated virial equation-ofstate: Z=(pv/RT)=1+Bp+Cp2 where B and C and constant, temperature-independent parameters. Address the following. Your answers may contain p,v,T,cp,B,C. c) Find a relationship for (h/p)T d) Find a relationship for (s/p)T