Gaseous state - student copy

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YISHUN INNOVA JUNIOR COLLEGE 2021 JC2 H2 CHEMISTRY THE GASEOUS STATE (FOUNDATION) ACJC/2020/I/6 1 Two glass bulbs X and Y are connected by a closed valve. X contains neon at 20 C at a pressure of 1 x 10 5 Pa. Y is initially empty, and has three times the volume of X . In an experiment, the valve is opened and the temperature of the whole apparatus is raised to 100 C. What is the final pressure in the system? A 3.18 × 10 4 Pa B 4.24 × 10 4 Pa C 1.25 × 10 5 Pa D 5.09 × 10 5 Pa ASRJC/2020/I/12 2 When the temperature of a 2.0 dm 3 sample of a gas was changed from 20 C to k C at constant volume, the pressure of the gas was found to have increased from 1 atm to 2 atm. What is the value of k ? A 10 B 40 C 313 D 586 Y X
ASRJC/2020/I/13 3 The value of pV / RT is plotted against p for one mole of each of the three non ideal gases D, E and F , where p is the pressure, V is the volume and T is the temperature of the gas. Which of the following gases could be D , E and F ?\ D E F A NH 3 H 2 O BF 3 B H 2 O NH 3 BF 3 C BF 3 NH 3 H 2 O D H 2 O BF 3 NH 3 HCI/2020/I/4 4 Which statement about an ideal gas is correct? A The density of an ideal gas at constant temperature is inversely proportional to the pressure. B One mole of any ideal gas occupies the same volume under the same conditions of temperature and pressure. C The volume of a given mass of an ideal gas is doubled if its temperature is raised from 25 C to 50 C at constant pressure. D Adding an inert gas to an ideal gas at constant volume and temperature will increase the partial pressure of the ideal gas. 1.0 p V/RT p D E F
NJC/2020/I/7 5 Which diagram correctly describes the behaviour of a fixed mass of an ideal gas? A B C D NYJC/2020/I/5 6 Which graph correctly describes the behaviour of two ideal gases P and Q , both having the same mass, where P has a larger M r than Q ? A B 0 T/ o C p / atm constant V 0 V/ cm 3 p / atm constant T T / o C p Q P T / o C p Q P 0 V/ cm 3 pV constant T 0 T/ o C V/ cm 3 constant P constant V constant V
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C D RI/2020/I/3 7 At 298 K, two vessels are connected by a stopcock. The 5 dm 3 vessel is filled with argon at a pressure of 150 kPa and the 10 dm 3 vessel is filled with xenon at 350 kPa. The stopcock is then opened to allow the gases to mix at 298 K, resulting in a total pressure of P kPa. Subsequently, the two vessels are heated to a temperature of T K and the total pressure at T K is 600 kPa. Assuming that the gases do not react at all temperatures, what are the values of P and T ? P T A 217 437 B 217 824 C 283 570 D 283 632 SAJC/2020/I/4 8 Hospitals require large amount of oxygen gas in the treatment of patients with respiratory symptoms. Oxygen is liquefied under pressure and stored in special cylinders. It vapourises when pressure is released. Which statement best describes why oxygen gas liquefies under pressure? A High pressure lowers the kinetic energy of oxygen molecules, creating less disordered liquid state. B High pressure pushes the molecules closer for more effective intermolecular interactions. p V pV constant T Q P p pV constant T P Q
C High pressure causes the temperature of oxygen gas to increase above its boiling point. D High pressure decreases the total volume occupied by the oxygen molecules. DHS/2020/II/3c 9 Ethanoic acid can be synthesised using bacteria and carbon dioxide gas. A real gas such as carbon dioxide can be liquefied at room temperature just by applying pressure. (i) Explain why the application of pressure causes carbon dioxide gas to liquefy. [2] (ii) State the conditions of temperature and pressure under which you might expect the behaviour of a real gas to be least like that of an ideal gas. [1] TMJC/2020/II/2e 10 A hot air balloon, open at its lower end, has a basket suspended from it. A propane burner is fixed to the basket to heat up the air in the balloon. The volume of the hot air balloon is 1500 m 3 and it remains unchanged when the enclosed air is heated. (i) Using the ideal gas equation , calculate the number of moles of air molecules contained in the balloon at a temperature of 10 °C and a pressure of 1.00 × 10 5 Pa. Hence, calculate the mass of air contained in the balloon. [Assume average M r of air = 29.0] [2] (ii) Propane can be liquefied by applying pressure. Explain why the application of pressure causes the gas to liquefy. [1] VJC/2020/II/1c 11 (i) Explain if a real gas, such as N 2 O 3 , behaves more or less ideally at: high pressures high temperatures [2]
RI/2020/III/1b 12 (b) An important property of an aerosol propellant is that it should be a gas at room temperature and pressure. (i) State two assumptions of the kinetic theory as applied to an ideal gas. [2] (ii) Fig. 1.1 illustrates the behaviour of 1 mol of ideal gas at 293 K. Fig. 1.1 On Fig.1.1, sketch and label the graph for 1 mol of N 2 O at 293 K. [1] (iii) On the same axes in Fig. 1.1, sketch and label the graph for 1 mol of N 2 O at 500 K. Explain your answer. [2] SAJC/2020/III/4a 13 Coronavirus disease 2019 (COVID-19) is an infectious disease that has spread globally. One of the most common symptoms developed by people affected with COVID-19 is difficulty in breathing. (a) During breathing, the lungs take in oxygen gas and remove carbon dioxide gas. During inhalation, the volume of the lungs increases, causing air to flow into the lungs. During exhalation, the volume of the lungs decreases, causing air to flow out of the lungs. 1 p ideal gas pV RT
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Fig. 4.1 shows the volume of the lungs during inhalation (V in ) and exhalation (V ex ) at 30 o C. The volume of gas taken in for each breath can be determined from the difference in volume of the lungs during inhalation and exhalation. Inhalation Exhalation Fig. 4.1 Image taken from https://courses.lumenlearning.com/boundless-biology/chapter/breathing/ (i) Calculate the amount, in moles, of oxygen gas taken in for each breath at 1 atm and 30 o C, given that the percentage by volume of atmospheric oxygen is 21%. [2] (ii) The pressure in the lungs during inhalation was found to be 758 Torr at 30 o C (1 Torr = 133 Pa). Assuming that the amount of gas inhaled and exhaled is the same, calculate the pressure in the lungs during exhalation at 30 o C. [1] (iii) Explain the relative deviations from ideal gas behaviour of oxygen gas and carbon dioxide gas. [1] TJC/2020/III/1g 14 (g) Hydrazine, N 2 H 4 can be formed from ammonia using a synthetic route. Ammonia has a boiling point of 33°C and hydrazine, N 2 H 4 has a boiling point of 114°C. The values of p V/RT plotted against p for one mole of NH 3 gas at 150°C is shown in Fig. 1.2, where p is the pressure and V is the volume of the gas. V ex = 1.50 dm 3 V in = 2.60 dm 3 air flows into lungs air flows out of lungs
Fig. 1.2 (i) On the same axes in Fig. 1.2, draw the labelled graphs for: One mole of NH 3 gas at 250°C One mole of N 2 H 4 at 150 o C [2] (ii) Comment on the relative deviation for N 2 H 4 compared to NH 3 from ideal gas behaviour. [1]
YISHUN INNOVA JUNIOR COLLEGE 2021 JC2 H2 CHEMISTRY THE GASEOUS STATE (ADVANCED) DHS/2020/I/6 1 A container with a volume of 120 m 3 with an internal pressure of 1 bar at 320 K was joined to two containers as shown below. One of them has a volume of 12 m 3 with a vacuum within, while the other has a volume of 32 m 3 with an internal pressure of 2 bar and a temperature of 273 K. What is the final pressure, in bar, in the combined containers when the taps were opened and the temperature allowed to equilibrate to 298 K? A 0.23 B 0.38 C 1.11 D 1.20 120 m 3 1 bar 320 K 12 m 3 vacuum 32 m 3 2 bar 273 K taps
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EJC/2020/I/5 2 Use of the Data Booklet is relevant to this question. The following graph was obtained for a sample of a gas at 500 K. Assuming that the gas behaves ideally under the conditions at which all measurements were made, what is its likely identity? A He B Ne C Ar D Kr TJC/2020/I/9 3 Two vessels with same volume contain ideal gases P and Q separately. The density of gas P is half of gas Q and the molecular mass of gas P is same as gas Q . Assume that the temperature is constant, what is the ratio of the pressure of gas P to gas Q ? A 1 : 1 B 1 : 2 C 2 : 1 D 4 : 1 TMJC/2020/I/5 4 Which graph correctly describes the behaviour of fixed mass of the ideal gases L and M where the number of moles of L is greater than the number of moles of M ? 0 1 2 3 0 0.5 1 1.5 pressure / bar density / g dm −3
L L L and M M M A B C D VJC/2020/I/5 5 The Gas Laws can be summarised in the general gas equation pV = nRT , where each symbol has its usual meaning. Which of the following statements are correct? 1 One mole of any ideal gas occupies the same volume under the same conditions of temperature and pressure. 2 The density of an ideal gas at constant pressure is inversely proportional to the temperature. 3 The volume of a given mass of an ideal gas is doubled if its temperature is raised from 25 o C to 50 o C at constant pressure. A 1, 2 and 3 B 1 and 2 only C 1 only D 2 and 3 only VJC/2020/I/6 6 In an experiment, 0.10 g of a volatile liquid P formed 0.025 dm 3 of vapour at 100 o C and at 1 bar. What is the relative molecular mass of P? A 0.10 × 373 0.025 × 22.7 Constant T PV V PV T T P Constant V L 1/V P Constant T M
B 0.025 × 273 × 22.7 0.10 × 373 C 0.025 × 373 × 22.7 0.10 × 273 D 0.10 × 373 × 22.7 0.025 × 273 EJC/2020/III/3a 7 Henry’s law is a gas law that states that, at a constant temperature, the amount of a given gas that dissolves in a given type and volume of liquid, is directly proportional to the partial pressure of that gas, in equilibrium with that liquid. The proportionality factor is called Henry’s law constant. Suppose gaseous A is in equilibrium with a solution of A in water:   2 H O A g A aq sol H The Henry’s law solubility constant, K H , of A in water, is given by H A g A aq K p where A g p is the partial pressure of A in the gaseous phase A aq is the concentration of A, in mol dm 3 , in the aqueous phase (a) Soda manufacturers often inject cold liquid with pressurised carbon dioxide, then can the drink under high pressure. On the average, a typical 355 cm 3 soda can possesses an internal pressure of 120 kPa when canned at 4 ºC, and 250 kPa when stored at room temperature. The Henry’s law constant, K H , of CO 2 in water is 3.4 × 10 7 mol dm 3 Pa 1 at room temperature. (i) Explain why the internal pressure is so much higher than what is predicted by the ideal gas equation when the temperature is raised during storage. [1] (ii) Calculate the concentration of CO 2 dissolved in a typical soda can at room temperature, in mol dm 3 . [1] After opening a can of soda, the drink eventually goes flat when the dissolved CO 2 escapes into the atmosphere.
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(iii) Assume that ambient air contains 0.04% by volume of CO 2 , and that the volume of a gas is proportional to the amount of the gas at the same pressure and temperature. Calculate the partial pressure of CO 2 in air at room temperature and pressure, and hence the concentration of CO 2 in the can of flat soda. [2] (iv) Using your answers to (a)(ii) and (a)(iii) , calculate the mass of CO 2 gas that has escaped into the atmosphere from the opened can of soda at room temperature, giving your answer to 4 decimal places. [1] NJC/2020/III/2c 8 (c) Hydrogen bromide is produced in the HVZ reaction mentioned in (b) . An experiment was conducted at 1 atm, the volumes of separate samples containing equal amounts of gases X and Y , measured at different temperatures. The results are tabulated below. The two possibilities of gases X and Y are HBr (b.p 66 o C) or HF (b.p 19.5 o C). Experiment No. T / K Gas X Gas Y V / dm 3 V / dm 3 1 200 20 000 16 500 2 300 22 000 24 000 3 500 24 000 40 650 (b) (i) Sketch a graph of V/T against T (in K) for a given amount of an ideal gas at constant pressure. [1] (ii) Identify gases X and Y . Explain your reasoning. [2]