Question

Compute the fractional change in volume of a glass slab, when subjected to a hydraulic pressure of 10 atmosphere. Bulk modulus of elasticity of glass = 37 × $10^{9}\ N/m^{2}$ and 1 atm = 1.013 × $10^5$ Pa.

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 / (∆V/V)

Where,

∆V/V = Fractional change in volume

∴ ∆V/V = p / B

= 10 × 1.013 × 105 / (37 × 109)

= 2.73 × 10-5

Hence, the fractional change in the volume of the glass slab is 2.73 × 10–5.