Question 1 Hard
A gas at 300 kPa has a volume of 2 m³. It is compressed to 1.5 m³ at constant temperature. Work out the new pressure.
Show answer
Answer: 400 kPa
- p₁ × V₁ = p₂ × V₂
- 300 × 2 ÷ 1.5 = 400 kPa
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A second set of questions on gas pressure and volume. They are different from the ones on the topic page. Try each, then open the answer and compare your working.
A gas at 300 kPa has a volume of 2 m³. It is compressed to 1.5 m³ at constant temperature. Work out the new pressure.
Answer: 400 kPa
A gas at 120 kPa has a volume of 5 litres. It expands to 8 litres at constant temperature. Work out the new pressure.
Answer: 75 kPa
Explain why a bicycle pump gets warm when the air is compressed quickly.
Answer: Work is done on the air, which increases its internal energy, so its temperature rises.
A sealed aerosol can is left in a hot car. Explain why the pressure inside rises and why this is dangerous.
Answer: The particles move faster and hit the walls harder and more often, so the pressure rises and the can could burst.
Short questions with options. Choose one before you open the answer.
How do the particles in a gas move?
fast and randomly, in all directions Gas particles are free to move until they collide with something.
How far apart are the particles in a gas?
far apart, with mostly empty space between them That is why a gas can be squashed.
What causes gas pressure?
particles colliding with the walls of the container Each collision gives a tiny force. Together they make the pressure.
In which direction does gas pressure act on a wall?
at right angles to the wall The force of the collisions acts at 90 degrees to the wall.
Why does a blown-up balloon stay round?
The gas pushes outwards equally on every part of the rubber. Gas pressure is the same in all directions.
What happens to the speed of gas particles when the gas is heated?
They move faster. Heating gives the particles more kinetic energy.
A sealed gas of fixed volume is heated. What happens to the pressure?
It increases. Faster particles hit the walls harder and more often.
Why does heating a sealed gas increase the pressure?
The particles hit the walls harder and more often. Both effects push up the pressure.
A sealed gas is cooled. What happens to the pressure?
It decreases. Slower particles hit the walls less hard and less often.
What stays the same when a sealed gas is heated?
the number of particles Nothing is added or taken away from a sealed container.
What does the temperature of a gas tell you about the particles?
their average kinetic energy A higher temperature means a higher average kinetic energy.
What is absolute zero in degrees Celsius?
−273 °C Absolute zero is 0 K, the coldest temperature possible.
What is 27 °C in kelvin?
300 K Add 273 to the Celsius temperature.
A gas at constant temperature has its volume halved. What happens to the pressure?
It doubles. Pressure × volume is constant, so halving V doubles p.
Why does reducing the volume of a gas increase its pressure?
The particles hit the walls more often. The same particles have less room, so they reach the walls sooner.
What is constant for a fixed mass of gas at constant temperature?
pressure × volume p × V stays the same when the volume changes.
What is the equation for two states of a gas at constant temperature? (Higher tier)
p₁ × V₁ = p₂ × V₂ The first pressure times the first volume equals the second pressure times the second volume.
A gas at 150 kPa and 4 m³ is compressed to 2 m³ at constant temperature. What is the new pressure? (Higher tier)
300 kPa 150 × 4 = p₂ × 2, so p₂ = 600 ÷ 2 = 300 kPa.
A gas at 240 kPa and 1 m³ expands to 4 m³ at constant temperature. What is the new pressure? (Higher tier)
60 kPa 240 × 1 = p₂ × 4, so p₂ = 240 ÷ 4 = 60 kPa.
Why can a gas be squashed into a smaller space?
Its particles are far apart, with mostly empty space between them. There is room for the particles to be pushed closer together.
What two conditions are needed for p × V to be constant? (Higher tier)
constant temperature and a fixed mass of gas If the temperature changes or gas leaks out, the rule fails.
A student says squashing a gas into half the space halves its pressure. What is wrong?
The pressure doubles, because the particles hit the walls twice as often. Halving the volume doubles the pressure at constant temperature.
Why does a bicycle pump get warm? (Higher tier)
Work done compressing the gas increases its internal energy. The energy goes to the particles, so the temperature rises.
Why is a sealed aerosol can dangerous in a hot car?
Heating raises the pressure inside until the can could burst. The faster particles hit the walls harder and more often.
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