What is the pressure in a gas container that is connected to an open-end U-tube manometer if the pressure of the atmosphere is 752 torr and the level of mercury in the arm connected to the container is 9.60 cm higher than the level of mercury open to the atmosphere?
A)656 mm Hg
B)742 mm Hg
C)762 mm Hg
D)848 mm Hg

Question

Quizplus · Accepted Answer

The pressure in the gas container is equal to the atmospheric pressure plus the pressure due to the height of the mercury column in the manometer arm connected to the container. The pressure due to the height of the mercury column is given by:P = ρghwhere:P is the pressure (in Pa)ρ is the density of mercury (13,600 kg/m^3)g is the acceleration due to gravity (9.81 m/s^2)h is the height of the mercury column (in m)Converting the height of the mercury column from cm to m:h = 9.60 cm = 0.0960 mSubstituting the values into the equation:P = (13,600 kg/m^3)(9.81 m/s^2)(0.0960 m) = 12,744 PaConverting the pressure from Pa to mmHg:P = 12,744 Pa * (1 mmHg / 133.322 Pa) = 95.5 mmHgAdding the atmospheric pressure:P = 95.5 mmHg + 752 mmHg = 847.5 mmHgTherefore, the pressure in the gas container is 847.5 mmHg, which is closest to choice A, 656 mm Hg.

What Is the Pressure in a Gas Container That Is