# B the volume of a given mass of gas is inversely

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(b) The volume of a given mass of gas is inversely proportional to the pressure it exerts. (c) The temperature of a fixed mass of gas is directly proportional to its pres- sure, regardless of the volume of the gas. 2. For each of the following multiple choice questions, choose the one correct answer . (a) Which one of the following properties of a fixed quantity of a gas must be kept constant during a Boyle’s law investigation? i. density ii. pressure iii. temperature iv. volume ( IEB 2003 Paper 2 ) (b) Three containers of EQUAL VOLUME are filled with EQUAL MASSES of helium, nitrogen and carbon dioxide gas respectively. The gases in the three containers are all at the same TEMPERATURE. Which one of the following statements is correct regarding the pressure of the gases? i. All three gases will be at the same pressure ii. The helium will be at the greatest pressure iii. The nitrogen will be at the greatest pressure iv. The carbon dioxide will be at the greatest pressure ( IEB 2004 Paper 2 ) (c) One mole of an ideal gas is stored at a temperature T (in Kelvin) in a rigid gas tank. If the average speed of the gas particles is doubled, what is the new Kelvin temperature of the gas? i. 4T ii. 2T iii. 2T 148

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CHAPTER 8. THERMAL PROPERTIES AND IDEAL GASES - GRADE 11 8.9 iv. 0.5 T ( IEB 2002 Paper 2 ) (d) The ideal gas equation is given by pV = nRT . Which one of the following conditions is true according to Avogadro’s hypothesis? a p 1/V (T = constant) b V T (p = constant) c V n (p, T = constant) d p T (n = constant) ( DoE Exemplar paper 2, 2007 ) 3. Use your knowledge of the gas laws to explain the following statements. (a) It is dangerous to put an aerosol can near heat. (b) A pressure vessel that is poorly designed and made can be a serious safety hazard (a pressure vessel is a closed, rigi container that is used to hold gases at a pressure that is higher than the normal air pressure). (c) The volume of a car tyre increases after a trip on a hot road. 4. Copy the following set of labelled axes and answer the questions that follow: Temperature (K) Volume (m 3 ) 0 (a) On the axes, using a solid line , draw the graph that would be obtained for a fixed mass of an ideal gas if the pressure is kept constant. (b) If the gradient of the above graph is measured to be 0.008 m 3 .K 1 , cal- culate the pressure that 0.3 mol of this gas would exert. ( IEB 2002 Paper 2 ) 5. Two gas cylinders, A and B, have a volume of 0.15 m 3 and 0.20 m 3 respectively. Cylinder A contains 1.25 mol He gas at pressure p and cylinder B contains 2.45 mol He gas at standard pressure. The ratio of the Kelvin temperatures A:B is 1.80:1.00. Calculate the pressure of the gas (in kPa) in cylinder A. ( IEB 2002 Paper 2 ) 6. A learner investigates the relationship between the Celsius temperature and the pressure of a fixed amount of helium gas in a 500 cm 3 closed container. From the results of the investigation, she draws the graph below: pressure (kPa) 300 10 20 temperature ( 0 C) (a) Under the conditions of this investigation, helium gas behaves like an ideal gas. Explain briefly why this is so.
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