Question

The density of mercury is 13.5 times greater than the density of water. If you were to build a barometer that used water instead of mercury to record the standard pressure at sea level, what would be the height of that barometer? Assume that the mercury barometer is 76 centimeters, or 29.92 inches, long (this is the standard atmospheric pressure at sea level). View Available Hint(s) The density of mercury is 13.5 times greater than the density of water. If you were to build a barometer that used water instead of mercury to record the standard pressure at sea level, what would be the height of that barometer? Assume that the mercury barometer is 76 centimeters, or 29.92 inches, long (this is the standard atmospheric pressure at sea level). 110.29 centimeters (43.42 inches) 5.63 centimeters (2.21 inches) 89.5 centimeters (35.24 inches) 1026 centimeters (403.92 inches)

Answer 1

h = 403.92in or 1026cm

Explanation:

Given

Let x represent the density of mercury, and y the density of water.

`y = 13.5x`

`Mercury\ barometer =76cm` or
`Mercury\ barometer =29.92in`

Required

Determine the height of the barometer

At standard atmospheric pressure, the relationship between the mercury barometer and the height (h) of the barometer is:

`h = 13.5 * Mercury\ barometer`

In centimeters, we have:

`h = 13.5 * 76cm`

`h = 1026cm`

In inches, we have:

`h = 13.5 * 29.92in`

`h = 403.92in`