Discuss the below:
Kinetic Theory and the Gas Laws
Constants:
R = 8.31JK^-1mol^-
k = 1.38 x 10-23 JK-1
Standard atmospheric pressure 100.3kPa
Mass of hydrogen molecule = 3.32x10-27kg
Questions:
Q1. 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?
Q2. 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?
Q3. Some air in a sealed container at atmospheric pressure (100kPa) was heated from 20C to 100C. What is the new pressure inside the container?
Q4. 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?
Q5. 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%?