Assume that you have an open-end manometer filled with ethyl alcohol 1density = 0.7893 g>mL at 20 °C2 rather than mercury 1density = 13.546 g>mL at 20 °C2. What is the pressure in pascals if the level in the arm open to the atmosphere is 55.1 cm higher than the level in the arm connected to the gas sample and the atmospheric pressure reading is 752.3 mm Hg?

A manometer is a device used to measure the pressure of gases. It consists of a U-shaped tube filled with a liquid, where the difference in liquid height between the two arms indicates the pressure difference between the gas and the atmosphere. The height difference is influenced by the density of the liquid used, which in this case is ethyl alcohol instead of mercury.

Pressure is often measured in different units, such as pascals (Pa) and millimeters of mercury (mm Hg). To convert between these units, one must use the appropriate conversion factors. For example, 1 mm Hg is equivalent to approximately 133.322 Pa. Understanding how to convert these units is essential for accurately calculating the pressure in pascals from the given atmospheric pressure and the height difference in the manometer.

The hydrostatic pressure equation relates the pressure difference to the height of the liquid column and its density. It is given by the formula ΔP = ρgh, where ΔP is the pressure difference, ρ is the density of the liquid, g is the acceleration due to gravity, and h is the height difference. This equation is crucial for determining the pressure exerted by the liquid column in the manometer when calculating the pressure of the gas sample.