Question

O 2. Both a gage and a manometer are attached to a gas tank to measure its pressure. Find the reading on the pressure gage, when the distance between the two fluid levels of the manometer is: a. 1 meter and the fluid is mercury (p -13,600 kg/m) b. 10 meters and the fluid is water (p 1000 kg/m). 0 1

Answer 1

Question # 2

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Gauge pressure is the pressure relative to the atmospheric pressure, that is

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$P_{gauge} = \Delta P = \rho gh \: \: \: \: \: \: \: \: \: (1)$

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Part (a) - Solution

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Inserting data given into eq. (1), we obtain

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$P_{gauge} = \rho gh =(13600\, kg/m^{3})(9.8m/s^{2})(1m)$

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or

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${\color{Blue} P_{gauge} =1.33\times 10^{5} \, Pa}$

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Part (b) - Solution

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Inserting data given into eq. (1), we obtain

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$P_{gauge} = \rho gh =(1000\, kg/m^{3})(9.8m/s^{2})(10m)$

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or

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${\color{Blue} P_{gauge} =9.8\times 10^{4} \, Pa}$