### Q.16:- How much should the pressure on a litre of water be changed to compress it by 0.10%?

**Answer:-**

Volume of water, *V *= 1 L

It is given that water is to be compressed by 0.10%.

∴ Fractional change, ∆*V* / *V* = 0.1 / (100 × 1) = 10^{-3}

Bulk modulus, *B* = ρ / (∆*V*/*V*)

*ρ* = *B* × (∆*V*/*V*)

Bulk modulus of water, *B* = 2.2 × 10^{9} Nm^{-2}

*ρ* = 2.2 × 10^{9} × 10^{-3} = 2.2 × 10^{6} Nm^{-2}

Therefore, the pressure on water should be 2.2 ×10^{6} Nm^{–2}.