Question

consider the image of a mercury manometer below. based on the image, if the pressure of the atmosphere is 0.990 atm, what is the pressure of the gas in mmhg?

Answer 1

The pressure of the gas in the manometer is approximately 752 mmHg.

Step-by-step explanation:

In a mercury manometer, the height difference between the two arms corresponds to the pressure difference between the gas and the atmosphere. Given that atmospheric pressure is 0.990 atm, we'll need to convert this to mmHg (mercury's unit of pressure) to match the units with the manometer reading. Using the conversion factor 1 atm = 760 mmHg, the atmospheric pressure becomes 0.990 atm * 760 mmHg/atm = 752.4 mmHg. Therefore, the pressure of the gas in the manometer must be the same, approximately 752 mmHg, as the system is in equilibrium.

The mercury levels in a manometer indicate the pressure difference between the gas and the atmosphere. The height of the mercury column on the gas side minus the height on the atmospheric side provides this difference. In this case, the atmospheric pressure of 0.990 atm translates to 752.4 mmHg. This implies that the gas pressure must also be 752.4 mmHg to maintain equilibrium. Thus, the pressure of the gas in the manometer is 752 mmHg.

Conversions between different pressure units are crucial in determining the pressure of gases in manometers. Utilizing the conversion factor of 1 atm = 760 mmHg is essential to establish an equivalence between atmospheric pressure and the pressure indicated by the mercury column. Therefore, the gas in the manometer exerts a pressure of approximately 752 mmHg.

Answer 2

In a mercury manometer, the pressure of the gas can be determined by measuring the height difference of the mercury columns in the two arms of the U-tube. For an open-end manometer, the gas pressure is equal to the difference in the height of the mercury columns in the arm connected to the gas and the height of the mercury column in the arm open to the atmosphere. Given that the atmospheric pressure is 760 mmHg, the pressure of the gas can be calculated by subtracting the height of the mercury column in the open arm from 760 mmHg.

Step-by-step explanation:

In a mercury manometer, the pressure of the gas can be determined by measuring the height difference of the mercury columns in the two arms of the U-tube.

For an open-end manometer, the gas pressure is equal to the difference in the height of the mercury column in the arm connected to the gas and the height of the mercury column in the arm open to the atmosphere.

Given that the atmospheric pressure is 760 mmHg, the pressure of the gas can be calculated by subtracting the height of the mercury column in the open arm from 760 mmHg.

So, if the pressure of the atmosphere is 0.990 atm, then the pressure of the gas in mmHg would be 0.990 * 760 mmHg = 752.4 mmHg.