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Jul 22, 2022 · We know that pressure and volume are inversely related; as one decreases, the other increases. Pressure is decreasing (from 2.44 atm to 1.93 atm), so volume should be increasing to compensate, and it is (from 4.01 L to 5.07 L). So the answer makes sense based on Boyle’s Law.
Aug 14, 2020 · This relationship between pressure and volume is known as Boyle’s law, after its discoverer, and can be stated as follows: At constant temperature, the volume of a fixed amount of a gas is inversely proportional to its pressure.
Boyle's law states that at constant temperature the volume of a given mass of a dry gas is inversely proportional to its pressure. Most gases behave like ideal gases at moderate pressures and temperatures.
- Pressure and Temperature: Amontons’s Law. Imagine filling a rigid container attached to a pressure gauge with gas and then sealing the container so that no gas may escape.
- Volume and Temperature: Charles’s Law. If we fill a balloon with air and seal it, the balloon contains a specific amount of air at atmospheric pressure, let’s say 1 atm.
- Volume and Pressure: Boyle’s Law. If we partially fill an airtight syringe with air, the syringe contains a specific amount of air at constant temperature, say 25 °C.
- Moles of Gas and Volume: Avogadro’s Law. The Italian scientist Amedeo Avogadro advanced a hypothesis in 1811 to account for the behavior of gases, stating that equal volumes of all gases, measured under the same conditions of temperature and pressure, contain the same number of molecules.
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Suppose P is the pressure and V is the volume of the gas. Mathematically, Boyle’s law is given by P ∝ 1/V Or, P = k/V Or, PV = k Where P : Pressure V : Volume k : Proportionality constant This equation states that the product of pressure and volume is a constant for a given mass confined to a container as long as the temperature remains unchanged....
Here are some examples of Boyle’s law in real life . Respiration and Breathing: When we inhale, our lungs expand. As a result, the volume increases, and pressure decreases. The air pressure inside the lungs is less than the environmental pressure. Hence, oxygen from the environment fills up the lungs. The reverse happens during exhalation. When we ...
Problem 1: A gas confined to a volume of 2 L at a pressure of 10 atm. It can flow into a 10 L container by opening the valve that connects the two containers. What is the final pressure of the gas? Solution: Given P1= 10 atm V1= 2 L V2= 10 L From Boyle’s law, P1V1 = P2V2 Or, P2 = P1V1/ V2 Or, P2= 10 atm x 2 L/ 10 L Or, P2= 2 atm Problem 2: A gas ex...
The volume of a given gas sample is directly proportional to its absolute temperature at constant pressure (Charles’s law). The volume of a given amount of gas is inversely proportional to its pressure when temperature is held constant (Boyle’s law).
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It is summarized in the statement now known as Boyle’s law: The volume of a given amount of gas held at constant temperature is inversely proportional to the pressure under which it is measured. Volume of a Gas Sample. The sample of gas in [link] has a volume of 15.0 mL at a pressure of 13.0 psi.
