This is a fun problem to help realize why barometers were constructed with mercury rather than water! The density of mercury is 13.5 g/mL and the density of water is 1.00 g/mL. If a mercury barometer reads 721 mmHg, what is the barometric pressure in cm \( \text{H}_2\text{O} \)? Hint: From physics we find that the pressure is related to the height according to the equation \[ P = dgh \] where \( d \) = density, \( g \) = gravitational acceleration, and \( h \) is the height. Now, if we have two devices at the same pressure, we can say that \[ P = d_1g h_1 = d_2g h_2 \] Use this equation, your algebra skills, and your logic to see how tall a water barometer would be! Barometric pressure: [__________] cm \( \text{H}_2\text{O} \)

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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This is a fun problem to help realize why barometers were constructed with mercury rather than water!

The density of mercury is 13.5 g/mL and the density of water is 1.00 g/mL.

If a mercury barometer reads 721 mmHg, what is the barometric pressure in cm \( \text{H}_2\text{O} \)?

Hint: From physics we find that the pressure is related to the height according to the equation

\[ P = dgh \]

where \( d \) = density, \( g \) = gravitational acceleration, and \( h \) is the height.

Now, if we have two devices at the same pressure, we can say that

\[ P = d_1g h_1 = d_2g h_2 \]

Use this equation, your algebra skills, and your logic to see how tall a water barometer would be!

Barometric pressure: [__________] cm \( \text{H}_2\text{O} \)
Transcribed Image Text:This is a fun problem to help realize why barometers were constructed with mercury rather than water! The density of mercury is 13.5 g/mL and the density of water is 1.00 g/mL. If a mercury barometer reads 721 mmHg, what is the barometric pressure in cm \( \text{H}_2\text{O} \)? Hint: From physics we find that the pressure is related to the height according to the equation \[ P = dgh \] where \( d \) = density, \( g \) = gravitational acceleration, and \( h \) is the height. Now, if we have two devices at the same pressure, we can say that \[ P = d_1g h_1 = d_2g h_2 \] Use this equation, your algebra skills, and your logic to see how tall a water barometer would be! Barometric pressure: [__________] cm \( \text{H}_2\text{O} \)
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