44.9k views
22 votes
If the pressure in a gas container that is connected to an open-end U-tube manometer is 116 kPa and the pressure of the atmosphere at the open end of the tube is 752 mm Hg, the level of mercury in the tube will

User SerhiiK
by
3.5k points

1 Answer

7 votes

Answer:

The level of mercury in the tube will be 118 mmHg

Step-by-step explanation:

As per the given data

Pressure of container = P1 = 116 kPa

Pressure of atmosphere = P2 = 752 mmHg

First, we need to convert the pressure of the container in mmHg as follow

P1 = 116 kPa x
(1 atm)/(101.325 kPa) x
(760 mmHg)/(1 atm) = 870 mmHg

Hence the pressure in the container is higher than the pressure of the atmosphere and the mercury level will increase.

Now calculate the level of mercury in the tube as follow

Level of Mercury = Pressure of container - Pressure of atmosphere

P = P1 - P2

P = 870 mmHg - 752 mmHg

P = 118 mmHg

User Dave
by
3.0k points