Estimate the increase in pressure in psi required to decreas

Estimate the increase in pressure (in psi) required to decrease a unit volume of mercury by 0.6%. psi the tolerance is +/-2%

Solution

As per the bulk modulus (K) formula:

K=(-dp)/(dv/v) (Here negative sign indicate that if pressure increased volume is decreased)

We can take bulk modulus value of mercury from available table, K=41.4 * 10^5 Psi

And change in volume is (dv/v) = 0.6%=0.006

Put all abolve values in given formula: K=(-dp)/(dv/v)

41.4 * 10^5 = (-dp)/(-0.006) (As we know pressure increased volume is decreased)

dp = 24840 Psi. (Final value)