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Lesson_1.1_Homework

# Lesson_1.1_Homework - raised to 50 o C What is the new...

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Lesson 1.1 Homework: 1. A constant volume gas thermometer reads 70 torr at the triple point of water. (i) What will be the pressure when the thermometer is immersed in a bath at a temperature of 50 o C? (ii) What will be the temperature when the thermometer registers a pressure of 820 torr? 2. The length of mercury column in a thermometer is 2.5 cm when immersed in melting ice and its length is 22 cm when immersed in boiling water. (i) What is the length of the mercury column when the thermometer is immersed in a bath of water at 35 o C? (ii) What temperature does the thermometer read when the length of the mercury column is 16.7 cm? 3. A 3.0-liter sample of an ideal gas is at a pressure of 2.5 atm at 15 o C. (i) How many moles of gas are in the sample? (ii) If the volume does not change, what is the pressure of the gas when the temperature is 50 o C? 4. 61.5 L of oxygen is at 18 o C and at a pressure of 2.45 atm. It is compressed to 48.8 L and the at the same time the temperature is

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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 ρ = where P is the pressure and ρ is the density of the gas....
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Lesson_1.1_Homework - raised to 50 o C What is the new...

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