An open-tube mercury manometer is joined to a gas line…

Contributed by StemPy Lab

Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

An open-tube mercury manometer is joined to a gas line. The mercury stands $15\ \text{cm}$ higher in the open arm. Find the gauge pressure and the absolute pressure of the gas. (Mercury $13\,600\ \text{kg/m}^3$ , air $1.013 \times 10^{5}\ \text{Pa}$ , $g = 9.8\ \text{m/s}^2$ .)

Need a reminder? The key ideaShow

The air presses with $p_0 = 1.013 \times 10^{5}\ \text{Pa}$ , the pressure of $76\ \text{cm}$ of mercury, at sea level. Gauge pressure is the pressure above the air's; absolute pressure includes it. An open manometer reads $p - p_0 = \rho gh$ from the difference of its levels.

The worked solution

Have you tried it?

Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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