Note that the questions below have been sourced from many places, although it is less likely to be the case nowadays, it was previously quite normal for an intermix of old and new units, such as "atm" and "millimetres of mercury" (mmHg) for pressure, degrees Celsius and Kelvin for temperature. It is useful to know the relationship between old and new, so the information below (before the question star) will familiarise you.




Pressure: 1 atm (atmosphere) = 101,325 Pa = 760 mmHg
Temperature: 0K = -273.15°C, 0°C = 273.15K
Volume: 1 L = 1000mL =1 dm3 = 1000 cm3

Boyle's Law

Q1. A fixed amount of a gas occupies a volume of 1L and exerts a pressure of 400 kPa on the walls of its container. What would be the pressure exerted by the gas if it is completely transferred into a new container having a volume of 3 litres (assuming the temperature and quantity of gas remains constant)?

Q2. A gas exerts a pressure of 3 kPa on the walls of container 1. When container 1 is emptied into a 10-litre container, the pressure exerted by the gas increases to 6 kPa. Find the volume of container 1. Assume that the temperature and quantity of the gas remain constant.

Q3. A balloon with a volume of 2.0 L is filled with a gas at 3 atmospheres. If the pressure is reduced to 0.5 atmospheres without a change in temperature, what would be the volume of the balloon?


Charles' Law


Q4. A 600 mL sample of nitrogen is heated from 27 °C to 77 °C at constant pressure. What is the final volume?

Q5. A gas occupies a volume of 400cm3  at 0°C and 780 mm Hg. What volume (in litres) will it occupy at 80°C and 780 mm Hg?


Q6. Find the initial volume of a gas at 150 K, if the final volume is 6 L at 100 K


Gay-Lussac's Law

Q7. The pressure of a gas in a cylinder when it is heated to a temperature of 250K is 1.5 atm. What was the initial temperature of the gas if its initial pressure was 1 atm.

Q8. At a temperature of 300 K, the pressure of the gas in a deodorant can is 3 atm. Calculate the pressure of the gas when it is heated to 900 K.


General Gas Equation


Q9. A gas is kept at a constant pressure while its temperature is varied. If it is initially at 20C and has a volume of 1 L exactly, calculate its volume at 60C.

 

Q10. A cylinder with a movable piston contains gas at a temperature of 27C, with a volume of 1.5 m3 and a pressure of 0.20 x 105 Pa. What will be the final temperature of the gas if it is compressed to 0.7 m3 and its pressure us increased to 0.80 x 105 Pa?


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