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Question

At a depth of 500 m under an ocean, what is the absolute pressure? Given density of sea water is 1.03×103 kg/m3. (Take g=10 m/s2 & 1 atm=105 Pa)

A
51.5 atm
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B
53.5 atm
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C
50.5 atm
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D
52.5 atm
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Solution

The correct option is D 52.5 atm
Given height (h)=500 m
Density of ocean, ρo=1.03×103 kg/m3
g=10 m/s2
The absolute pressure is given by:
Absolute pressure = pressure due to water column + atmospheric pressure
P=ρogh+Po
=1.03×103×10×500+1×105
[ atmospheric pressure Po=105 Pa]
=(51.5+1)×105 Pa
=52.5×105 Pa
P=52.5 atm (105 Pa=1 atm)

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