Question

Find the increase in pressure required to decrease volume of mercury by 0.001%. (Bulk modulus of mercury = 2.8 x 10¹⁰ N / m²)


(Ans : 2.8 x 10⁵ N / m²)

Answer 1

Here, bulk modulus = 2.8 × 10^10 N/m²

% decrease in volume = - change in volume/original volume × 100 = -(∆V/V) × 100 = 0.001%

-(∆V/V) = 1/100 × 0.001 % = 10^-5

Now, bulk modulus = P/(-∆V/V)

2.8 × 10^10 = P/(10^-5)

P = 2.8 × 10^5 N/m²