A glass slab is subjected to a hydraulic pressure of $10 ext{ atm}$ ($1 ext{ atm} = 1.013 imes 1

Question

A glass slab is subjected to a hydraulic pressure of $10	ext{ atm}$ ($1	ext{ atm} = 1.013 	imes 10^5	ext{ Pa}$). If the bulk modulus of glass is $37	ext{ GPa}$, what is the fractional change in its volume?

Professor PC Thomas Classes · Answer

Hydraulic pressure $\Delta P = 10 	imes 1.013 	imes 10^5 = 1.013 	imes 10^6	ext{ Pa}$. Fractional change $\frac{\Delta V}{V} = \frac{\Delta P}{B} = \frac{1.013 	imes 10^6}{37 	imes 10^9} \approx 2.74 	imes 10^{-5}$.