Explain the construction of a barometer.

Short Answer

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Question: Explain how a barometer is designed and how it measures atmospheric pressure. Answer: A barometer is designed based on the principle of balancing the weight of a liquid column against the atmospheric pressure. Its main components include an evacuated glass tube filled with mercury, a container with mercury, and a measurement scale. The tube is submerged in the container of mercury, and atmospheric pressure pushes the mercury in the container up the tube. The height of the mercury column inside the tube changes according to atmospheric pressure - higher pressure forces the mercury upwards, while lower pressure allows its weight to push it down. By measuring the height of the mercury column and utilizing the formula P = ρgh, where P is the atmospheric pressure, ρ is the density of mercury, g is the acceleration due to gravity, and h is the height of the liquid column, one can determine the atmospheric pressure.

Step by step solution

01

Understand the principle behind the barometer

A barometer works on the principle of balancing the weight of a liquid column against the atmospheric pressure. When atmospheric pressure increases, it pushes the liquid up the column; if the pressure decreases, the weight of the liquid column pushes it back down.
02

Identify the components of a barometer

A typical barometer consists of the following components: 1. A closed, evacuated glass tube: This tube contains no air and is filled with a liquid, usually mercury. 2. A container: The bottom end of the evacuated glass tube is submerged in a container filled with the same liquid (mercury). 3. A scale: A measurement scale is placed next to the glass tube to measure the height of the liquid column inside the tube.
03

Describe the construction of a barometer

To construct a barometer, the evacuated glass tube is carefully filled with mercury, ensuring no air bubbles are trapped inside. The open end of the tube is then submerged into the container filled with mercury. Due to the vacuum inside the tube, the atmospheric pressure pushes the mercury from the container up into the tube. The mercury column will stabilize at a height that is directly proportional to the atmospheric pressure.
04

Understand how a barometer measures atmospheric pressure

As the atmospheric pressure changes, the height of the mercury column inside the tube changes accordingly. Higher atmospheric pressure forces the mercury upwards in the tube, while lower pressure allows the weight of the mercury column to push it down. The height of the mercury column can be read off the scale placed next to the tube and can be used to calculate the atmospheric pressure. The relationship between the height of the column (h) and the atmospheric pressure (P) is given by the formula: \[P = \rho gh\], where \(\rho\) is the density of the liquid (mercury), \(g\) is the acceleration due to gravity, and \(h\) is the height of the liquid column.
05

Consider variations in barometer design

While the mercury barometer is the most commonly discussed type of barometer, other designs exist using different liquids, such as aneroid barometers that use a flexible metal chamber instead of a liquid column. The principles of these designs still rely on the relationship between atmospheric pressure and a balancing force, but their construction and methods of measuring pressure may differ.

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