Manometer Video Lessons

Concept

Problem: You may want to reference (Pages 397 - 400)Section 10.2 while completing this problem.What would be the height of the column in a barometer if the external pressure was 101 kPa and water (d = 1.00 g/cm3) was used in place of mercury?

FREE Expert Solution

We are asked to determine the height of the column in a barometer if the external pressure was 101 kPa and water (d = 1.00 g/cm3was used in place of mercury.

Recall:

The pressure can be calculated using the equation:

$\overline{){\mathbf{P}}{\mathbf{=}}\frac{\mathbf{F}}{\mathbf{A}}}$

The force, F, due to the air acting on the column is given by its mass times the acceleration due to gravity,

F = mg

where g = 9.8 m/s2

The pressure caused by the air is:

$\overline{){\mathbf{P}}{\mathbf{=}}\frac{\mathbf{F}}{\mathbf{A}}{\mathbf{=}}\frac{\mathbf{mg}}{\mathbf{A}}}$

Recall that mass is related to density:

$\mathbf{density}\mathbf{=}\frac{\mathbf{mass}}{\mathbf{volume}}$

We can treat the water as column whose volume equals its cross-sectional area times its height:

$\mathbf{V}\mathbf{=}\mathbf{A}\mathbf{×}\mathbf{h}$

Hence, we have:

$\mathbf{P}\mathbf{=}\frac{\mathbf{mg}}{\mathbf{A}}\mathbf{=}\frac{\mathbf{dVg}}{\mathbf{A}}\mathbf{=}\frac{\mathbf{d}\left(\mathrm{Ah}\right)\mathbf{g}}{\mathbf{A}}\mathbf{=}\mathbf{dhg}$

Problem Details

You may want to reference (Pages 397 - 400)Section 10.2 while completing this problem.

What would be the height of the column in a barometer if the external pressure was 101 kPa and water (d = 1.00 g/cm3) was used in place of mercury?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Manometer concept. You can view video lessons to learn Manometer. Or if you need more Manometer practice, you can also practice Manometer practice problems.