If the atmospheric pressure is 0.995 atm, what is the pressure of the enclosed gas in each of the three cases depicted in the drawing? Assume that the gray liquid is mercury. (i)

Verified step by step guidance

Identify the type of manometer used in the drawing. It could be an open-end or closed-end manometer.

If it's an open-end manometer, determine whether the mercury level is higher on the side open to the atmosphere or on the side with the gas.

If the mercury level is higher on the side open to the atmosphere, the gas pressure is greater than atmospheric pressure. Calculate the gas pressure by adding the difference in mercury levels (in atm) to the atmospheric pressure.

If the mercury level is higher on the side with the gas, the gas pressure is less than atmospheric pressure. Calculate the gas pressure by subtracting the difference in mercury levels (in atm) from the atmospheric pressure.

If it's a closed-end manometer, the gas pressure is equal to the difference in mercury levels (in atm) since there is no atmospheric pressure acting on the closed end.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above.

Video duration:

Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Atmospheric Pressure

Atmospheric pressure is the force exerted by the weight of air above a given point, typically measured in atmospheres (atm) or pascals (Pa). At sea level, standard atmospheric pressure is defined as 1 atm, which is equivalent to 101.3 kPa. In this question, the atmospheric pressure of 0.995 atm indicates that the pressure exerted by the surrounding air is slightly less than standard conditions, which will affect the pressure readings of the enclosed gas.

Hydrostatic Pressure

Hydrostatic pressure refers to the pressure exerted by a fluid at equilibrium due to the force of gravity. It is calculated using the formula P = ρgh, where P is the pressure, ρ is the fluid density, g is the acceleration due to gravity, and h is the height of the fluid column. In this scenario, the height of the mercury column will influence the pressure of the enclosed gas, as the weight of the mercury will exert a downward force.

Manometer

A manometer is a device used to measure the pressure of a gas by comparing it to atmospheric pressure. It typically consists of a U-shaped tube filled with a liquid, such as mercury, where the difference in liquid height between the two arms indicates the pressure difference. In this question, the manometer's readings will help determine the pressure of the enclosed gas relative to the atmospheric pressure of 0.995 atm.

Related Practice

Textbook Question

Hurricane Wilma of 2005 is the most intense hurricane on record in the Atlantic basin, with a low-pressure reading of 882 mbar (millibars). Convert this reading into (a) atmospheres.

views

Textbook Question

Hurricane Wilma of 2005 is the most intense hurricane on record in the Atlantic basin, with a low-pressure reading of 882 mbar (millibars). Convert this reading into (b) torr.

Textbook Question

Hurricane Wilma of 2005 is the most intense hurricane on record in the Atlantic basin, with a low-pressure reading of 882 mbar (millibars). Convert this reading into (c) inches of Hg.

Textbook Question

If the atmospheric pressure is 0.995 atm, what is the pressure of the enclosed gas in each of the three cases depicted in the drawing? Assume that the gray liquid is mercury. (ii)

views

Textbook Question

An open-end manometer containing mercury is connected to a container of gas, as depicted in Sample Exercise 10.2. What is the pressure of the enclosed gas in torr in each of the following situations? (a) The mercury in the arm attached to the gas is 15.4 mm higher than in the one open to the atmosphere; atmospheric pressure is 0.985 atm.

Textbook Question

If a car tire is filled to a pressure of 32.0 lb/in.2 (psi) measured at 75°F, what will be the tire pressure if the tires heat up to 120°F during driving?