a barometer is read directly in torrs or mm Hg. an open-end manometer has a closed arm liquid height of 48.4 mm and an open arm liquid height of 62.6 mm. if the air pressure is 758.0 torrs, what is the pressure of the gas connected to the manometer?
The difference is 62.6-48.4 = 14.2
So the closed end is higher pressure than the open end so 758-14.2 = P closed end.
To determine the pressure of the gas connected to the manometer, we need to consider the difference in height between the two arms of the manometer. A manometer measures the difference in pressure between two locations by comparing the heights of columnar liquids.
In this case, we have an open-end manometer, where one arm is open to the atmosphere and the other is connected to the gas we want to measure. The gas pressure can be calculated by considering the height difference between the arms and the atmospheric pressure.
Let's break down the given information:
Closed arm liquid height: 48.4 mm
Open arm liquid height: 62.6 mm
Atmospheric pressure: 758.0 torrs
First, we need to calculate the pressure difference between the two arms of the manometer. This can be done by subtracting the closed arm height from the open arm height:
Pressure difference = open arm height - closed arm height
= 62.6 mm - 48.4 mm
= 14.2 mm
Since the manometer measures pressure in terms of mm Hg (which is equivalent to torrs), we can convert the pressure difference to torrs:
Pressure difference = 14.2 torrs
Now, we can determine the pressure of the gas connected to the manometer by adding the pressure difference to the atmospheric pressure:
Gas pressure = atmospheric pressure + pressure difference
= 758.0 torrs + 14.2 torrs
= 772.2 torrs
Therefore, the pressure of the gas connected to the manometer is 772.2 torrs.