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A flask of mercury is sealed off at 20^@...

A flask of mercury is sealed off at `20^@C` and is completely filled with mercury. If the bulk modulus for mercury is 250 Mpa and the coefficient of volume expansion of mercury is `1.82xx10^(-4)//^(@)C` and the expansion of glass is ignored, the pressure of mercury within flask at `100^@C` will be

A

10 MPa

B

7.2 MPa

C

3.6 MPa

D

2.4 MPa

Text Solution

Verified by Experts

The correct Answer is:
C
If V is initial volume then, The natural volume at `T=100^(@)C` will be
`V(l+YDeltaT)`
So , `DeltaV=-VYDeltaT`
Also `beta=-V(DeltaP)/(DeltaV)=-V(DeltaP)/(-VYDeltaT)=(DeltaP)/(YDeltaT)or,DeltaP=250xx1.82xx10^(-4)xx80,P_(2)=3.6Mpa`
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