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Fluid Mechanics

Absolute , Gauge , Atmospheric and and Vacuum Pressure

A pressure ga...

Question

A pressure gauge reads 57.4 kPa and 80 kPa, respectively at heights of 8 m and 5 m fitted on the side of a tank filled with liquid. What is the approximate density of the liquid in kg/ $m^{3}$ ?

A

393

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B

768

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C

1179

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D

7530

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Solution

The correct option is B 768
The pressure difference may be given as
$P_{1} - P_{2} - ρ g (h_{2} - h_{1}) \Rightarrow 80 \times 10^{3} - 57.4 \times 10^{3} = ρ \times 9.81 \times (8 - 5) \Rightarrow 22600 = ρ \times 29.43 \Rightarrow ρ = 768 k g / m^{3}$

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