What is the speed of sound ms in a liquid with density 800 k

What is the speed of sound (m/s) in a liquid with density 800 kg/m3 and compressibility 0.000049 1/atm?

Solution

Inverse of compressibility is called bulk modulus

So bulk modulus is , K=1/0.0000 49 atm=1.01325*10^5/0.000049 Pa (Pa is Pascal , SI unit for pressure)

Density, p=800 kg/m^3

So sound speed ,s=sqrt{K/p}=1607.74 m/s