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

B = $2.1\times {10}^{9}N{m}^2$,

$\frac{Dv}{v}=0.1\%={10}^{-4}$

B= $\frac{Pv}{\Delta v}$

P = $B\left(\frac{\Delta v}{v}\right)$

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

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