How much should the pressure on a litre of water be changed to compress its volume by $0.10\%$? (Bul

Question

How much should the pressure on a litre of water be changed to compress its volume by $0.10\%$? (Bulk modulus of water $= 2.2 	imes 10^9	ext{ Pa}$)

Professor PC Thomas Classes · Answer

The fractional compression is $\frac{\Delta V}{V} = 0.10\% = 0.001$. Change in pressure $\Delta P = B 	imes \frac{\Delta V}{V} = 2.2 	imes 10^9 	imes 0.001 = 2.2 	imes 10^6	ext{ Pa}$.