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 the glass slab, p = 10 atm = 10 × 1.013 × 105 Pa
Bulk modulus of glass, B = 37 × 10⁹ Nm^–2
Bulk modulus, B = P / ΔV / V
Where, 

\(\frac{ΔV }{ V} \)= Fractional change in volume

\(∴ \frac{ΔV }{ V }= \frac{P }{ B} \)

\(= \frac{10 × 1.1013 × 10 ^5 }{ 37 × 10 ^9 }\)

= 2.73 × 10 ^{- 5}
Hence, the fractional change in the volume of the glass slab is 2.73 × 10^–5.