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A partially divided tank contains two immiscible fluids oil (oil = 898 kg/m3 ) and water ( = 998 kg/m3 ). What is the height, h, of the oil column above the tank top? (8.0 cm)

Answer :

danialamin

Answer:

The height of the oil column above the tank top is 8 cm.

Explanation:

By applying Bernoulli's equation between point A and B as shown in the attached diagram

[tex]P_{atm}+\rho_{oil}g(h+0.12)=P_{atm}+\rho_{water}g(0.06+0.12)[/tex]

Here

  • P_atm is the atmospheric pressure.
  • ρ_water=998 kg/m3
  • ρ_oil=898 kg/m3
  • g=9.8 m/s2

               [tex]P_{atm}+\rho_{oil}g(h+0.12)=P_{atm}+\rho_{water}g(0.06+0.12)\\898\times (h+0.12)=998 \times (0.06+0.12)\\(h+0.12)=\frac{998}{898} \times (0.18)\\h+0.12=0.20\\h=0.20-0.12\\h=0.08m \approx 8 cm[/tex]

So the height of the oil column above the tank top is 8 cm.

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