An external pressure P is applied on a cube at 0 ° C so that it is equally compressed from all sides. K is the bulk modulus of the material of the cube and α is its coefficient of linear expansion. Su

Question

An external pressure P is applied on a cube at 0 ° C so that it is equally compressed from all sides. K is the bulk modulus of the material of the cube and α 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:

TestHub · Accepted Answer

B = - P d V V d V V = - P B d V = - P V B Δ V = V γ Δ T Δ V V = γ Δ T Δ V V = 3 α Δ T K = P Δ V V = P 3 α Δ T Δ T = P 3 α k

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