Given that: Specific gravity of mercury = 13.6; intensity of pres
![Given that: Specific gravity of mercury = 13.6; intensity of pres](/img/relate-questions.png)
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Given that: Specific gravity of mercury = 13.6; intensity of pressure = 40 kPa
Express the intensity of pressure (gauge) in various units (S.I)A. 0.3 bar, 3.077 m of water, 0.15 m of mercury
B. 0.4 bar, 4.077 m of water, 0.299 m of mercury
C. 0.5 bar, 5.077 m of water, 0.339 m of mercury
D. None of the above
Please scroll down to see the correct answer and solution guide.
Right Answer is: B
SOLUTION
Concept:
Pressure = 40 kPa
1 bar = 105 Pa ⇒ 100 kPa
⇒ 40 kPa = 0.4bar
In terms of water head:
P = ρgh
For water, ρ = 1000 kg/m3, g = 9.81, P = 40 kPa
\( \Rightarrow h = \frac{{40 × {{10}^3}}}{{1000 × 9.8}} = 4.08\;m\;\)of water
In terms of Mercury head:
For Mercury, ρ = 13.6 × 103 kg/m3, P = 40 kPa
\( \Rightarrow h = \frac{{40 × {{10}^3}}}{{13.6 × 1000 × 9.8}} = 0.30~m\;of\;mercury\)