let the initial temp be T1 and final be T2
let intial pressure be P1 and final be P2
(one thing volume cannot be kept constant it will expand(very little))
let coefficient of linear expansion =α
then coefficent of volumetric expansion=3α
hence the volume of the object changes from V to V(1+3αdT)
hence dV=3αVdT
hence B=-VdP/dV
hence dP=-BdV/V=-B*3αVdT/V=-B*3αdT=-B*3α(T2-T1)
hence P2-P1=B*3α(T1-T2)
hence we can find P2 as B,α,P1,T1,T2 are all known!!