Gases & Pressure (Triple Physics Only)
Pressure (measured in Pascals, Pa) can be calculate using:
pressure = force / area
Question: Calculate the pressure exerted on the floor by a person of mass 70kg wearing a shoe with an area of 0.05m²
Force exerted by person: weight = mass x gravitational field strength
weight = 70 x 9.8 = 686 Newtons
pressure = force / area
pressure = 686 / 0.05
The pressure is 13720 Pascal
The molecules of a gas are in constant random motion, with a range of speeds.
The temperature of the gas is related to the average kinetic energy of the molecules (high temperature means high average kinetic energy).
Changing the Gas Temperature (Triple Physics Only)
Increasing the temperature of a gas, held at constant volume, increases the pressure exerted by the gas. Decreasing the temperature of a gas, held at constant volume, decreases the pressure exerted by the gas.
Motion of the molecules in a gas is related to:
- temperature: Higher temperature means faster speed, because the kinetic energy is higher
- pressure: Increased pressure will increase the frequency of collisions between particles
For a gas in a container of fixed volume: if the temperature increases then the pressure will increase. This is because the increased temperature speeds up the particles, so they collide with the container walls with more frequency and force.
A gas can be compressed or expanded by pressure changes. The pressure produces a net force at right angles to the wall of the gas container (or any surface).
Question: The temperature of the helium in a balloon was increased.
The mass and volume of helium in the balloon remained constant.
Explain why the pressure exerted by the helium inside the balloon would increase. (4 marks)
- particles would have a higher (mean) kinetic energy
- so increased number of collisions with the walls of the balloon per second (or increased frequency)
- so greater forces exerted in collisions (between particles and balloon walls)
- so greater force exerted on same area
For a gas which is kept at a constant temperature: if the volume of the container is increased, the pressure will decrease. This is because the particles will take longer to collide with a container wall, decreasing the number of collisions with the walls.
For a fixed mass of gas held at a constant temperature:
pressure × volume = constant
initial pressure × initial volume = final pressure × final volume
We use this fact to calculate the change in the pressure of a gas or the volume of a gas (a fixed mass held at constant temperature) when either the pressure or volume is changed.
Question:The pressure of helium in a balloon is 100 000 Pa.
The volume of the balloon is 0.030 m3.
The balloon is compressed at a constant temperature causing the volume to decrease to 0.025 m3.
No helium leaves the balloon.
Calculate the new pressure in the balloon.
initial pressure × initial volume = final pressure × final volume
100000 x 0.03 = final pressure x 0.025
final pressure = (100000x 0.03) / 0.025
The final pressure is 120000 Pascals
Doing Work on a Gas (Triple Physics Only)
Work is the transfer of energy by a force.
Doing work on a gas increases the internal energy of the gas. So the kinetic energy of the particles increases which can cause an increase in the temperature of the gas.
Question: The internal energy of the air increases as a tyre is inflated.
Explain why. (2 marks)
- work is done on the air (in the tyre)
- so the temperature (of the air) increases