An external pressure P is applied on a cube atm 0^(@)C so that it is equally compressed from all sides. K is the bulk modulus of the material of the cube and alpha is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by ......

An external pressure P is applied on a cube atm 0^(@)C so that it is e

1.	An external pressure P is applied on a cube atm 0^(@)C so that it is equally compressed from all sides. K is the bulk modulus of the material of the cube and alpha is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by ......
Answer» <P>`(3 ALPHA )/(PK)` `3 PK alpha` `(P)/(3 alpha K)` `(P)/(alpha K)` Solution :BULK modulus `B = - (P )/((Delta V )/(V))` `therefore P =- B xx (Delta V )/(V)` But `Delta V = 3 alpha V Delta T` `therefore Delta T` `therefore P =-B xx (3 alpha V Delta T )/(-V)` `therefore P = + B xx 3 alpha Delta T` `therefore Delta T = (P)/(3 alpha B)` But here B is k. `therefore Delta T = (P)/(3 alpha K)`