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/cm3) was used in place of mercury.
The pressure can be calculated using the equation:
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:
Recall that mass is related to density:
We can treat the water as column whose volume equals its cross-sectional area times its height:
Hence, we have:
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?
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