Question 5
Atmospheric pressure at sea level has
a value of 100 kPa.
The density of sea water is 1020 kg m-3.
At which depth in the sea would the
total pressure be 110 kPa?
A 1.0 m B 9.8 m C 10 m D 11 m
Reference: Past Exam Paper – November 2014 Paper 13 Q20
Solution:
Answer: A.
Let the depth in the sea
at which the pressure is 110 kPa be h.
The pressure at h is due
to the amount of water above the point and due to the atmospheric pressure at
sea level.
Pressure at depth h =
Pressure due to height h of sea water + Atmospheric pressure
110 000 = hρg + 100 000
hρg = 10 000
Depth h = 10 000 / (ρg) =
10 000 / (1020×9.81)
Depth h = 0.9993 = 1.0 m
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