An external pressure P is applied on a cube at 0 ° C so that it is equally compressed from all sides. K…

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:
  1. 3PKα
  2. P3αK
  3. PαK
  4. 3αPK

Solution

B=-PdVV

dVV=-PB

dV=-PVB

ΔV=VγΔTΔVV=γΔT

ΔVV=3αΔT

K=PΔVV=P3αΔT

ΔT=P3αk

Asked in: JEE Main 2017 (02 Apr)

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