Boyle's law holds pressure inversely proportional to volume at constant temperature and is written P₁V₁ = P₂V₂, so this Year 11 sheet opens with the gas law's statement and equation. The key adds kelvin for gas temperature and add 273 for the Celsius conversion.
Key Takeaways
At constant temperature, pressure is inversely proportional to volume (Q1).
Boyle's law is P₁V₁ = P₂V₂ (Q2).
Q4 records kelvin as the gas temperature unit.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.Boyle's law states that at constant temperature, the pressure of a gas is
(a) inversely proportional to its volume(b) directly proportional to its volume(c) equal to its volume(d) independent of its volume
2.Which equation represents Boyle's law?
(a) P₁V₁ = P₂V₂(b) P₁V₂ = P₂V₁(c) P ÷ V = constant(d) V = P × constant
3.At constant pressure, the volume of a gas is directly proportional to its
(a) absolute temperature(b) pressure(c) mass(d) density
4.The absolute temperature scale is measured in
(a) kelvin(b) celsius(c) fahrenheit(d) joules
5.To convert a temperature from °C to kelvin, you
(a) add 273(b) subtract 273(c) multiply by 273(d) divide by 273
6.When a gas is compressed at constant temperature, its pressure
(a) increases(b) decreases(c) stays the same(d) becomes zero
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.State Boyle's law.
8.State the pressure law in words (pressure proportional to absolute temperature at constant volume).
9.What is absolute zero?
10.How do you convert a temperature from °C to K?
11.What happens to the volume of a gas if the pressure is doubled at constant temperature?
12.Name the instruments used to measure pressure and temperature.
13.Why does a gas exert pressure on the walls of its container?
14.State Charles' law in words.
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.A gas occupies 4 m³ at a pressure of 100 kPa. Using P₁V₁ = P₂V₂ at constant temperature, find the new volume when the pressure is 200 kPa.
16.A gas occupies 2 m³ at a pressure of 150 kPa. Using P₁V₁ = P₂V₂ at constant temperature, find the new pressure when the volume is 1 m³.
17.A gas has a temperature of 25 °C. Convert this temperature to kelvin.
18.A gas has a volume of 3 m³ at 27 °C (300 K). At constant pressure, using V₁ ÷ T₁ = V₂ ÷ T₂, find its volume at 327 °C (600 K).
19.A gas occupies 6 m³ at a pressure of 100 kPa. Using P₁V₁ = P₂V₂ at constant temperature, find its pressure when the volume is reduced to 2 m³.
20.A gas occupies 2 m³ at a temperature of 300 K. At constant pressure, using V₁ ÷ T₁ = V₂ ÷ T₂, find its volume at 450 K.
Answer Key
1. a) inversely proportional to its volume
2. a) P₁V₁ = P₂V₂
3. a) absolute temperature
4. a) kelvin
5. a) add 273
6. a) increases
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
13. Refer to solution guide.
14. Refer to solution guide.
15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet
People Also Ask
What does Boyle's law say about pressure and volume?
They are inversely proportional at constant temperature, option (a) in this worksheet (Q1).
What is the Boyle's law equation?
P₁V₁ = P₂V₂, option (a) in this worksheet (Q2).
What unit is used for gas temperature?
Kelvin, option (a) in this worksheet (Q4).
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