A barometer is filled with a cylindrical column of mercury that is 76.0 cm high and 1.000 cm in diameter.If the density of mercury is 13.53 g/cm³,what is the mass of mercury in the column?

Question

Quizplus · Accepted Answer

To find the mass of mercury in the column, we first calculate the volume of the cylindrical column using the formula for the volume of a cylinder, $V = \pi r^2 h$, where $r$ is the radius (half of the diameter) and $h$ is the height. Given the diameter is 1.000 cm, the radius $r = 0.5$ cm, and the height $h = 76.0$ cm, the volume $V = \pi (0.5)^2 (76.0) = 3\pi (19) = 57\pi$ cm³. Using the density of mercury, $13.53$ g/cm³, the mass of mercury is $mass = density \times volume = 13.53 \times 57\pi \approx 808$ g.

A Barometer Is Filled with a Cylindrical Column of Mercury