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Unformatted text preview: raised to 50 o C. What is the new pressure? 5. A tire is filled with air at 22 o C to a gauge pressure of 240 kPa. After driving for some time, if the temperature of air inside the tire is 45 o C, what fraction of the original volume of air must be removed to maintain the pressure at 240 kPa? 6. Show that for an ideal gas at constant temperature, the density is proportional to its pressure. 7. (i) What is the average kinetic energy of an oxygen molecule at STP? (ii) What is the total translational kinetic energy of 2 moles of oxygen molecules at 20 o C? 8. A gas is at 20 o C. To what temperature must it be raised to double the rms speed of its molecules? 9. If the pressure of a gas is doubled while its volume is kept constant, by what factor does the rms speed of its molecules change? 10. Show that the rms speed of molecules in a gas is given by 3 rms P v = where P is the pressure and is the density of the gas....
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