Question

Find the increase in pressure required to decrease the volume of a water sample by $0.01\%$. Bulk modulus of water $=2.1\times {10}^{9}N{m}^{-2}$.

Answer 1

bulk modulus of the water is $B=2.1\times {10}^{9}N{m}^{-2}$

in order to increase the volume(v) and water sample by 0.01% increasing the pressure P

$\frac{V\times 0.01}{100}=△V$

$\frac{△V}{V}={10}^{-4}$

$B=\frac{PV}{△V}$

$=2.1\times {10}^9\times {10}^{-4}$

$=2.1\times {10}^5\frac{N}{m^2}$