Question

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. 100MPa
B. 72MPa
C. 36MPa
D. 24MPa

Answer 1

Correct Answer - C
We have `(DeltaV)/(V)=gammaDeltaT=(1.82xx10^-4)(100-20)`
`=1.46xx10^-2`
Now the bulk modulus, `P=B((DeltaV)/(V))`, where P is the pressure.
`P=(2500)xx1.46xx10^-2MPa=36MPa`