You would like to use a simple water-filled barometer (an inverted tube in a container of water) to measure the atmospheric pressure on a day when the pressure is 102.5 kPa. What would be the minimum height required for such a barometer to work? The density of water is 1000 kg/m³. A) 10.5 m B) 1.04 cm C) 5.22 m D) 10.3 m E) 12.2 cm

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Quizplus · Accepted Answer

The atmospheric pressure can be equated to the hydrostatic pressure of the water column in the barometer using the formula $P = \rho gh$, where $P$ is the pressure (102.5 kPa or 102500 Pa), $\rho$ is the density of water (1000 kg/m^3), and $g$ is the acceleration due to gravity (approximately 9.81 m/s^2). Solving for $h$ gives $h = \frac{P}{\rho g} = \frac{102500}{1000 \times 9.81} \approx 10.45$ meters, which rounds to 10.5 meters, making it the minimum height required for the barometer to work.

You Would Like to Use a Simple Water-Filled Barometer (An