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Questions on Kinetic Theory and the Gas Laws

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R = 8.31JK^-1mol^-
k = 1.38 x 10-23 JK-1
standard atmospheric pressure 100.3kPa
mass of hydrogen molecule = 3.32x10-27kg


1. A fixed mass of gas at a constant temperature has a pressure of 50000Pa, and a volume of 3.2m^2. The pressure is changed to 80000Pa. What is the new volume?
2. Some gas enclosed by a piston is compressed isothermally from a volume of 5m^3 to 3m^3. If the initial pressure on it was 30kPa, what is the new pressure?
3. Some air in a sealed container at atmospheric pressure (100kPa) was heated from 20C to 100C. What is the new pressure inside the container?
4. Some gas contained within a syringe was heated from a temp of 25C to 95C, while the volume was allowed to expand from 50cm^3 to 55cm^3. If the initial pressure was 95000Pa, what is the new pressure?
5. To what temp (stated in C) should a sample of gas at 20C be heated if its volume is to rise by 25%, while the pressure falls by 10%?

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The solution provides quick step-by-step calculations for each question described on kinetic theory and the gas laws.

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1. For fixed mass and temperature, P1 * V1 = P2 * V2
Therefore, 50000 * 3.2 = 80000 * V2 => V2 = 2 (m^3)

2. Again, P1 * V1 = P2 * V2

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