Question

a uniform pressure p is exerted on all sides of a solid cube at temperature t0 c. by what amount should the temperature of the cube be raised in order to bring its volume back to the original value before the pressure was applied, if the bulk modulus is b and volume coefficient is

Answer 1

Answer:

We know that

B=

V

ΔV

−ΔP

Let the initial volume be V. Then

ΔV=

B

−P

V

Expansion to get same volume as initial

=−ΔV=

B

P

V

We know that thermal volume expansion

ΔV

thermal

=(V)(y)(ΔT)

Here ΔT=Δt

o

C;−ΔV=ΔV

thermal

So, (

B

P

)V=V(y)(ΔT)⇒

By

P

=Δt

There is an increment of

yB

P

in temperature to get same volume as initial