GATE Civil Engineering (CE) 2018 Shift 2 Solved Paper

Question : 56 of 65

Marks: +1, -0

A three-fluid system (immiscible) is connected to a vacuum pump. The specific gravity values of the fluids

(S_{1}, S_{2})

are given in the figure.

The gauge pressure value (in

{kN} \/ {m}^{2}

, up to two decimal places) of

P_{1}

Solution:

Taking

P_{1}

is in gauge pressure.

P_{A}= \;\; P_{1}+(0.88 × 10^{3}) ⋅(9.81)(0.5)+

(0.95 × 10^{3})(9.81)(1)

(10^{3})(9.81)(0.5)=P_{1}+(0.88 × 10^{3}) ⋅(9.81)

(0.5)+(0.95 × 10^{3})(9.81)(1)

P_{1}=-8.73 {kN} {/} {m}^{2}

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