Calculate the absolute pressure at the bottom of a lake at a depth of 32.8 m. Assume the density of the water is 1 x 10^3 kgm-3 and the air above is at a pressure of 101.3 kPa.

[Take g = 9.8 ms-2]

A.

422.7

B.

220.14

C.

464.53

D.

321.74

Correct answer is A

h=32·8m,      p=  \(1×10^3kgm^-3\)

g=9·8 \(ms^-2\) ,   \(P_a\)=101·3KPa

\(P_T\)= ?

P=hpg

⇒\(32·8×1×10^3 × 9·8\)=321440 \(P_a\)

⇒321·44KPa

⇒ \(P_T\) =321.44+101.3

;\(P_T\)=422·7KPa