1. The problem statement, all variables and given/known data Obtaining an equation of state from compressibility and expansivity. States of superheated steam are observed to have an isothermal compressibility k=(rNT) / (VP^2) and a volume expansivity B=(N/V)((r/P)+(am / T^m+1)). r,m and a are constants. a) Find dv in terms of dP and dT b) Deduce the equation of state for superheated steam up to an undetermined constant 2. Relevant equations B= (1/V)(dV/dT) P const k= (-1/V)(dV/dP) T const 3. The attempt at a solution a) I have arrived at: (rTN^2 / P^2) ((r/P)+(am / T^m+1)) = -(dV)^2 / dPdT I can simplify and rearange that for dV = -sqrt((rTN^2 / P^2) ((r/P)+(am / T^m+1)) dP dT If a) is correct, then I need help with b); how would I go about integrating the expression. Do I start with (dV)^2 = ? Thank you very much! Any help would be sincerely appreciated (and needed).