The average depth of ocean is 2500 m. Calculate the fractional compression `((DeltaV)/(V))` of water at the bottom of ocean, given that the bulk modulus of water is `2.3 xx 10^(9) N//m^(2)`.

Explanation

Pressure exerted at the bottom layer by water column of height h is
P=h`sigma g = 2500xx1000xx10`
`=2.5xx10^(7)N//m^(-2)`
=Stress
Bulk modulus `K=("Stress")/("Strain")=(P)/(DeltaV//V)`
`(DeltaV)/(V) =(P)/(K)=(2.5xx10^(7))/(2.3xx10^(9))=1.08xx10^(-2)`
=1.08%