Question

Compute the fractional change in volume of a glass slab, when subjected to a hydraulic pressure of $10$ atm.

Answer 1

Hydraulic pressure exerted on glass slab, $\rho =10atm$
Bulk modulus of glass, $B=37\times {10}^{9}N{m}^{-2}$
Bulk modulus, $B=P/\left(\Delta V/V\right)$
where,
$\Delta V/V=$ Fractional change in volume
$\Delta V/V=P/B$
$=10\times 1.013\times {10}^5/(37\times {10}^9)$
$=2.73\times {10}^{-5}$
Therefore, the fractional change in the volume of the glass slab is $2.73\times {10}^{-5}$.