Question

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 1

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

Step-by-step explanation:

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

`P_(atm)+\rho_(oil)g(h+0.12)=P_(atm)+\rho_(water)g(0.06+0.12)`

Here

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

`P_(atm)+\rho_(oil)g(h+0.12)=P_(atm)+\rho_(water)g(0.06+0.12)\\898* (h+0.12)=998 * (0.06+0.12)\\(h+0.12)=(998)/(898) * (0.18)\\h+0.12=0.20\\h=0.20-0.12\\h=0.08m \approx 8 cm`

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