Question

A gas pressure of 65,000.0 Pa (gage pressure) is applied to one leg of a U-tube manometer, which contains a fluid of density of 1905.0 kg/m3. The other leg is open to atmosphere. What is the manometer reading? Draw the U-tube manometer and label all relevant parameters. Hint: You may assume that air density is much less than the fluid density

Answer 1

Answer:

$h=3.4817\ m$

Explanation:

Given:

• Pressure of a gas, $P=65000\ Pa$

• density of the fluid in the manometer, $\rho=1905\ kg.m^{-3}$

We know that:

$P=\rho.g.h$

putting respective values

$65000-101325=1905 \times 9.8\times h$

$h=3.4817\ m$ is the reading in terms of the fluid column height on the manometer.

Considering the rise in the level of fluid this fluid is not suitable for such huge pressures for a practically convenient manometer.