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Unit 5 physics from creation to collapseSection 4 thermal energyRevision spread :1.internal energy Checkpoints :(1) Explain the concept of internal energy as the random distribution of potential and kinetic energy among molecules. (2) Explain the concept of absolute zero and how the average kinetic energy of molecules is related to the absolute temperature . (3) recognize and use the expression E=mc.(201306r-10)The absolute temperature scale is a theoretical scale proposed by Lord Kelvin.On this scale, zero is the temperature at whichA .all gases become liquids. B .an ideal gas would exert no pressure.C .the Celsius temperature is 373 C. D .water freezes.(201306-12)The heatingelementof an electric shower has a power of 6.0kW(a)Theshower is operated from a230V mainssupply. Calculate theresistanceof the heating element.(b)Water enters theshower at a temperature of 7.5C.Calculate the water flow rate required to give anoutput temperature of 37.5C. specific heatcapacityof water=4200J kg1K1 Revision spread :2. gas laws and kinetic theoryCheckpoints :(1)recognize and use the expression 1/2m=3/2 kT (2)use pV=NkT as the equation of state for an ideal gas .(201306-2) When energy is supplied to a substance, changes in the average molecular kinetic energy (Ek) and the average molecular potential energy (Ep) can occur.When energy is supplied to an ideal gas A .both Ek and Ep increase. B .Ek may increase. C .Ep may increase. D .Ek increases but Ep decreases. (201306-7) Air is a mixture of mostly nitrogen and oxygen molecules. The mass of an oxygen molecule is slightly greater than the mass of a nitrogen molecule.On average, in a sample of air at a given temperatureA .the nitrogen and oxygen molecules have the same speed.B .the nitrogen molecules are travelling more slowly than the oxygen molecules.C .the oxygen molecules are travelling more slowly than the nitrogen molecules.D .the molecules have relative speeds that depend upon the amount of each gas present.(201206-1) A sealed gas jar contains a mixture of different gases. At a given temperature, the mean kinetic energy of the molecules of each gasA .depends upon how much of each gas is present. B .is greater for the gas with less massive molecules. C .is greater for the gas with more massive molecules. D. is the same for each gas in the mixture.(201306r-1) At night the Earths surface cools down as energy is radiated away into space. Most of the energy is radiated away asA .infrared radiation. B .microwaves.C .ultraviolet radiation. D .visible light.(201306r-15) Hot air ballooning is one way to explore the landscape. Air in a balloon is heated from underneath by a set of burners and the balloon starts to rise.(a) Explain why heating the air causes the balloon to rise.(b)In1991, Per Lindstrand and Richard Branson become the first people to cross the Pacific in a hot air balloon. With a volume of 7.4 104 m3 the balloon was, at the time, the largest ever built. Calculate the energy supplied by the burners to heat the air from 20.0 C to 35.0 C.average density of air in the balloon = 1.20 kg m3specific heat capacity of air = 1010 J kg1 K1(c) The first balloons used were filled with hydrogen and sealed to keep the volume constant. As the balloon rose there would be changes in the pressure of the hydrogen due to the temperature changes of the atmosphere.(i) Calculate the new pressure exerted by the hydrogen if the temperature changed from 20.0 C to 5.0 C, as the balloon rose from ground level.pressure exerted by the hydrogen in the balloon at ground level = 1.01 105 Pa(ii) State two assumptions that you must make to calculate this change.*(iii) By considering the motion of molecules in the gas, explain why the pressure exerted by the gas decreases as it cools.(201306-16) A student uses the apparatus shown to investigate the relationship between pressure and volume of a gas.Airis trapped ina glass tube of uniform cross-sectionalarea. As thepressureofthetrapped air is increased, the length of trapped air decreases. The student collects data and plots the following graph.(a)State thevariables that should be controlledin this investigation.(b) Theory suggests that, for the air trapped in the tube, the pressure p is inversely proportional to the volume V. Use thegraph toshow that this relationship is correct. State anassumptionthat youare making. (c) On the day that the investigation was carried out, the temperature in the laboratory was20C. Calculate the number of air molecules trapped in the tube. cross-sectional areaof tube=7.5105m2(d)Statehow thegraph wouldchange if(i) the air molecules in the tube were replaced by the same number of molecules of hydrogen gas.(ii) the temperature of the laboratory was substantially higher.(201206-12)Two metal spheres of the same size are heated to a temperature of 100 C in a water bath. One of the spheres is made of lead and the other of steel. The spheres are then placed onto a sheet of paraffin wax as shown. Paraffin wax melts at 55 C.(a) The steel sphere melts through the wax sheet and drops to the floor. The temperature of the steel sphere when it reaches the floor is 53 C. Calculate the thermal energy lost by the steel sphere from the time when it was removed from the water bath.(b) The lead sphere is only able to partially melt the wax, so does not drop to the floor. Explain this observation.(201206-14)A magazine article states that an inflated balloon contains about two hundred billion trillion (2 1023) air molecules. (a) Taking the balloon to be a sphere of volume 8.2 103 m3 in a room at a temperature of 22 C, show that this figure for the number of molecules is correct.pressure of air in balloon = 1.1 105Pa*(b) The article also states that the internal energy of the air in the balloon could become zero if the temperature of the gas became low enough. Explain what is meant by the internal energy of the air and discuss whether the statement is correct(201203-15 )A washi
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