Q1) How many moles are in a 0.23 kg sample of carbon dioxide, CO2? (atomic masses: C = 12 u; O = 16 u) 1) 0.0052 2) 5.2 3) 230 4) 1.1 104 5) none of the above Q2) Which one of the following factors is directly responsible for the pressure exerted by a confined gas? 1) the atomic mass of the gas 2) the density of the sample of molecules 3) the temperature of the sample of molecules 4) the collision of gas molecules with the sides of the containing vessel 5) the average translational kinetic energy of the molecules Q3) When will a real gas behave most like an ideal gas? 1) at high temperatures and high pressures 2) at low temperatures and high pressures 3) at low temperatures and low pressures 4) at high temperatures and low pressures Q4) The temperature of an ideal gas is changed from 30oC to 60oC while the volume is kept constant. How does the pressure of the gas change as the temperature is increased? 1) the pressure is cut in half 2) the pressure doubles 3) the pressure increases but by less than double 4) the pressure increases but by more than double Q5) Neon gas at 20 oC is confined within a rigid vessel. It is then heated until its pressure is doubled. What is the final temperature of the gas? 1) 10 oC 2) 20 oC 3) 40 oC 4) 313 oC 5) 586 oC Q6) When the temperature of a quantity of gas is increased 1) the pressure must increase. 2) the volume must increase. 3) the pressure and/or the volume must increase. 4) none of the above Q7) You fill your backpack with snacks for the long flight over to Europe on your summer vacation. When you take out your bag of chips mid-flight, 1) it looks just like it did when you packed it at home. 2) it has shrunk and all of your chips are crushed. 3) it has puffed up and looks like it could pop. Q8) Two identical rooms are connected by an open doorway. The temperatures in the two rooms are maintained at different values. Which room contains more air? 1) the room with the higher temperature 2) the room with the lower temperature 3) the room with the higher pressure 4) neither because they both have the same pressure 5) neither because they both have the same volume Q9) An ideal gas is initially at T = 150 K, p = 2 105 Pa, and V = 6 cm3. The temperature is then increased to 300 K. Which of the following might be the pressure and volume of the final state? 1) p = 1 105 Pa and V = 6 cm3 2) p = 2 105 Pa and V = 3 cm3 3) p = 3 105 Pa and V = 9 cm3 4) p = 3 105 Pa and V = 8 cm3 5) p = 4 105 Pa and V = 12 cm3 Q10) A container with a piston-lid contains an ideal gas at temperature T = 27 oC (300 K) and a volume Vo. The temperature is increased to Tf = 127 oC while the pressure is kept constant. What is the new volume? 1) Vo 2) (127/27)Vo 3) (4/3) Vo 4) (3/4) Vo 5) None of these. Q11) An ideal gas in a container with a piston lid has a pressure po=1atm, volume Vo, and temperature To = 300K. The piston lid is pushed in, reducing the volume to Vo/2. At the same time, the temperature is reduced to Tf = 150K. What is the final pressure? 1) 1 atm 2) 2 atm 3) 4 atm 4) 0.5 atm 5) None of these. constant pressure Q12) The rms speed of an oxygen molecule at 0o C is 460 m/s. If the molar mass of oxygen is 32 g and that of helium is 4 g, then the rms speed of a helium molecule at 0o C is: 1) 230 m/s 2) 326 m/s 3) 650 m/s 4) 920 m/s 5) 1300 m/s Q13) When comparing the root-mean-square speed, vrms, the average speed, vav, and the most probable speed, vmp, of molecules in a gas at temperature T, we find that 1) vrms < vav 2) vrms = vav 3) vrms > vav 4) vmp > vav 5) vmp > vrms Q14) The Maxwellian speed distribution provides a direct explanation of: 1) thermal expansion 2) the ideal gas law 3) heat 4) evaporation 5) boiling Q15) For a gas at thermal equilibrium the average speed v, the most probable speed vp, and the root-mean-square speed vrms are in the order: 1) vp < vrms < v 2) vrms < vp < v 3) v < vrms < vp 4) vp < v < vrms 5) v < vp < vrms Q16) The average speed of air molecules at room temperature is about: 1) zero 2) 2 m/s (walking speed) 3) 30 m/s (fast car) 4) 500 m/s (supersonic airplane) 5) 3 108 m/s (speed of light) Q17) The mean free path of molecules in a gas is proportional to: 1) the molecular cross-sectional area 2) the reciprocal of the molecular cross-sectional area 3) the root-mean-square molecular speed 4) the square of the average molecular speed 5) the molar mass Q18) A gas mixture at temperature T consists of molecules of types 1, 2, and 3, with molecular masses m1 < m2 < m3. Rank the three types according to (a) average kinetic energy and (b) rms speed, greatest first. 1) 2) 3) 4) 5) (a) all tie (a) all tie (a) 1, 2, 3 (a) 1, 2, 3 (a) 3, 2, 1 (b) 3, 2, 1 (b) 1, 2, 3 (b) 1, 2, 3 (b) all tie (b) all tie Q19) A certain gas has a temperature 200 K and a pressure 2.0 104 Pa. The molecules have a mean free path of 4.0 10-7 m. If the temperature is raised to 400 K and the pressure is kept constant, the mean free path is then: 1) 1.0 10-7 m 4) 8.0 10-7 m 2) 2.0 10-7 m 5) 1.6 10-6 m 3) 4.0 10-7 m Q20) The heat capacity at constant volume and the heat capacity at constant pressure have different values because: 1) heat increases the temperature at constant volume but not at constant pressure 2) heat increases the temperature at constant pressure but not at constant volume 3) the system does work at constant volume but not at constant pressure 4) the system does work at constant pressure but not at constant volume 5) the system does more work at constant volume than at constant pressure Q21) An ideal gas, with molecular rotation but not oscillation, loses energy as heat Q. Is the resulting decrease in the internal energy of the gas greater if the loss occurs in a constant-volume process or in a constant pressure process? 1) constant-volume process 2) constant-pressure process 3) whatever! Q22) For constant-volume processes the heat capacity of gas A is greater than the heat capacity of gas B. We conclude that when they both absorb the same energy as heat at constant volume: 1) the temperature of A increases more than the temperature of B 2) the temperature of B increases more than the temperature of A 3) the internal energy of A increases more than the internal energy of B 4) the internal energy of B increases more than the internal energy of A Q23) The figure below shows five paths traversed by a monatomic gas on a p-V diagram. Rank the paths according to the change in internal energy of the gas, greatest first. 1) all tie 2) 5, 12, 34 3) 34, 12, 5 4) 1234, 5 5) 5, 1234 Q24) Rank paths 1, 2, and 3 in the figure below according to the heat transfer to the gas, greatest first. 1) all tie 2) 3, 1, 2 3) 1, 2, 3 4) 3, 2, 1 5) none of the above Q25) The figure shows the initial state of an ideal gas and an isotherm through that state. Which of the paths shown result in an increase in temperature of the gas? 1) 6, 7, and 8 2) 6, 7, 8, and 9 3) 5, 6, 7, and 8 4) 1, 2, 3, and 4 5) 9 Q26) The specific heat of a diatomic gas is greater than the specific heat of a monatomic gas because: 1) the diatomic gas does more work when energy is absorbed as heat 2) the monatomic gas does more work when energy is absorbed as heat 3) the energy absorbed by the diatomic gas is split among more DOF 4) the pressure is greater in the diatomic gas 5) the monatomic gas cannot hold as much heat Q27) For a temperature increase of T, a certain amount of an ideal gas requires 30 J when heated at constant volume and 50 J when heated at constant pressure. How much work is done by the gas in the second situation? 1) 0 J 4) 40 J 2) 20 J 5) 50 J 3) 30 J Q28) In the p-V diagram below, the gas does 5 J of work along isotherm ab and 4 J of work along adiabat bc. What is Eint if the gas traverses the straight path from a to c? 1) –4 J 2) –1 J 3) 1 J 4) 4 J 5) 9 J Q29) A container is divided into two chambers that are separated by a valve. The left chamber contains one mole of a monatomic ideal gas. The right chamber is evacuated. At some instant, the valve is opened and the gas rushes freely into the right chamber. Which one of the following statements concerning this process is true? 1) Work is done by the gas. 2) The temperature of the gas decreases. 3) The change in the entropy of the gas is zero. 4) The walls of the containing vessel must get colder. 5) The change in the internal energy of the gas is zero. Q30) In an adiabatic free expansion 1) no heat is transferred between a system and its surroundings. 2) the pressure remains constant. 3) the temperature remains constant. 4) the volume remains constant. 5) the process is reversible. Q31) In an isothermal process 1) the volume remains constant. 2) the temperature remains constant. 3) no heat is transferred between a system and its surroundings. 4) the pressure remains constant. 5) the internal energy is not constant. Q32) In an isobaric process 1) the volume remains constant. 2) the temperature remains constant. 3) the pressure remains constant. 4) no heat is transferred between a system and its surroundings. 5) the internal energy is constant. Q33) In an isochoric process 1) the temperature remains constant. 2) no heat is transferred between a system and its surroundings. 3) the pressure remains constant. 4) the volume remains constant. 5) the internal energy is constant. Q34) A quantity of an ideal gas is compressed to half its initial volume. The process may be adiabatic, isothermal, or isobaric. Rank those three processes in order of the work required of an external agent, least to greatest. 1) adiabatic, isothermal, isobaric 2) adiabatic, isobaric, isothermal 3) isothermal, adiabatic, isobaric 4) isobaric, adiabatic, isothermal 5) isobaric, isothermal, adiabatic Q35) In order that a single process be both isothermal and isobaric: 1) one must use an ideal gas 2) such a process is impossible 3) a change of phase is essential 4) one may use any real gas such as N2 5) one must use a solid Q36) A fixed amount of ideal gas is compressed adiabatically. Which entry in the table below correctly depicts the sign of the work done, the change in the internal energy, and the heat exchanged with the environment? 1) 2) 3) 4) 5) work done positive negative negative positive negative E negative zero negative positive positive Q zero positive zero zero zero Q37) A fixed amount of ideal gas is compressed isothermally. Which entry in the table below correctly depicts the sign of the work done, the change in the internal energy, and the heat exchanged with the environment? work done 1) negative 2) positive 3) negative 4) negative 5) positive E zero negative zero negative zero Q negative zero positive zero positive Q38) An ideal gas is contained in half of a rigid container by a membrane which bursts; the other half is initially empty. Is the final temperature of the gas different than the initial temperature? 1) Yes. 2) No. Q39) As the pressure in an ideal gas is increased isothermally the average molecular speed: 1) increases 2) decreases 3) increases at high temperature, decreases at low 4) decreases at high temperature, increases at low 5) stays the same Q40) An ideal gas of N diatomic molecules has temperature T. If the number of molecules is doubled without changing the temperature, the internal energy increases by: 1) 0 2) (1/2)NkT 3) (3/2)NkT 4) (5/2)NkT 5) 3NkT Q41) The principle of equipartition of energy states that the internal energy of a gas is shared equally: 1) among the molecules 2) between kinetic and potential energy 3) among the relevant degrees of freedom 4) between translational and vibrational kinetic energy 5) between temperature and pressure Q42) Three gases, one consisting of monatomic molecules, one consisting of diatomic molecules, and one consisting of polyatomic molecules, are in thermal equilibrium with each other and remain in thermal equilibrium as the temperature is raised. All have the same number of molecules. The gases with the least and greatest change in internal energy are respectively: 1) polyatomic, monatomic 2) monatomic, polyatomic 3) diatomic, monatomic 4) polyatomic, diatomic 5) monatomic, diatomic