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A vacuum gage attached to a power plant condenser gives a reading of 27.86 in. of mercury. The surrounding atmospheric pressure is 14.66 lbf/in. Determine the absolute pressure inside the condenser, in lbf/in. The density of mercury is 848 lb/ft and the acceleration of gravity is g = 32.0 ft/s?.

Respuesta :

Answer:

absolute pressure =  1.07 lbft/in^2

Explanation:

given data:

vaccum gauge reading h = 27.86 inch = 2.32 ft

we know that

gauge pressure p is given as

[tex]p = \rho gh[/tex]

[tex]p = 848 \ lb/ft^3 * 32 \ ft/s^2 *2.32 ft  = 62955.52 \ lbft/s^2 * 1/ft^2[/tex]

we know that  [tex]1\  lb ft\s^2 = \frac{1}{32.174}\  lbft[/tex]

1 ft = 12 inch

therefore [tex]p = 62955.52 * \frac{1}{32.174} * \frac{1}{12^2}\ lbf/in^2[/tex]

               [tex]p = 13.59\  lbft/in^2[/tex]

[tex]P_{atm} = 14.66\  lbf/in^2[/tex]

so absolute pressure = [tex]P_{atm} - p[/tex]

                                   = 14.66 - 13.59 = 1.07 lbft/in^2

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