Question

A liquid compressed in cylinder has a volume of 0.04 m³ at 50 kg/cm² and a volume of 0.039 m³ at 150 kg/cm². The bulk modulus of liquid is
1. 400 kg/cm²
2. 4000 kg/cm²
3. 40 × 105 kg/cm²
4. 40 × 106 kg/cm²

Answer 1

Correct Answer - Option 2 : 4000 kg/cm²

P₁ = 50 kg/cm², P₂ = 150 kg/cm²

V₁ = 0.04 m³, V₂ = 0.39 m³

\(K = - \frac{{VdP}}{{dV}} = - \frac{{0.04\left( {50 - 150} \right)}}{{\left( {0.04 - 0.039} \right)}}\)

= 4000 kg/cm²