A uniform pressure P is exerted on all sides of a solid cube at t^(0)C. By what amount should the temperature of the cube be raised in order to bring its volume back to the value it had before the pressure was applied? (K is bulk modulus and alpha is coefficient of linear expansion)

A uniform pressure P is exerted on all sides of a solid cube at t^(0)C

1.	A uniform pressure P is exerted on all sides of a solid cube at t^(0)C. By what amount should the temperature of the cube be raised in order to bring its volume back to the value it had before the pressure was applied? (K is bulk modulus and alpha is coefficient of linear expansion)
Answer» Solution :`K=(P)/((-DELTAV//V)) i.e., (DeltaV)/(V)=(P)/(K)` NUMERICALLY but `(DeltaV)/(V) =gamma Deltat(or) Deltat =(DeltaV)/(V) XX (1)/(gamma) i.e., Deltat=(P)/(K gamma)=(P)/(3K ALPHA)`