Question

KHO1 Problem 14.35 What is the pressure at a depth of 5000 m in the ocean? your answer with the appropriate units. Part B

Answer 1

answer a) we have the formula

P=Po+$\rho$gh

we are adding the gauge pressure as well

Po=1.013*10⁵Pa

$\rho$=1030kg/m³

sp P=1.013*10⁵+1030*9.8*5000m=5.057*10⁷Pa

so answer is 5.057*10⁷Pa or 5.06*10⁷Pa

b) here we have the formula

V/$\Delta$V=-P/B

B= bulk modulus of water

so V/$\Delta$V=-5.057*10⁷Pa/2.15*10⁹Pa=-0.025

so the answer is -0.025 or -0.026

c) so here the volume decreases by V-0.025V=0.975

so new density=1030kg/m³/0.975=1056kg/m³

so the answer is 1056kg/m³ or 1057kg/m³.