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).

The average depth of ocean is 2500 m. Calculate the fractional compres

1.	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).
Answer» <P> Solution :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%