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 x 10⁹ N/m² and 1 atm = 1.013 =x 10⁵ Pa.

Answer 1

P = 10 atm = 10 x 1.013 x 10⁵ Pa, K = 37 x 10⁹ N/m²

Vol. strain =  Bulkmodulus/Stress

= P/K = 10 x 1.013 x 10⁵/37 x 10⁹ = 2.74 x 10^-5

∴ Fractional change in volume = ΔV /V = 2.74 x 10^-5