The owner of the gas station wants to bury the gasoline so deep that no vacuum pump will be able to extract it. He has hired a general contractor to dig the holes for the tanks. What is the minimum gasoline surface depth h 2 h2 needed to prevent siphoning by any pump

Respuesta :

Answer:

The depth of tank so that 13.49 m

Explanation:

As pressure is given as

[tex]P=\rho g h[/tex]

here

  • P is the pressure which in order to avoid siphoning by any vacuum pump is atmospheric pressure. i.e. P=1.013 x10^5 Pa
  • ρ is the density of the gasoline which is calculated from the following equation of specific gravity. Assume the specific gravity of gasoline is 0.766

                                       [tex]\rho=S.G \times \rho_{w}\\\rho=0.766 \times 1000 kg/m^3\\\rho=766 kg/m^3[/tex]

  • h is the depth which is to be calculated here .

                                        [tex]P=\rho g h\\h=\frac{P}{\rho g}\\h=\frac{1.013 \times 10^5}{766 \times 9.8}\\h=13.49 m[/tex]

So the depth of tank so that 13.49 m

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