7. The average kinetic energy of the molecules in an ideal gas increase with the volume remaining constant. Which of these statements must be true? a. both the pressure and the temperature increase b. the number density decreases c. the temperature increases, and the pressure stays the same. d. the pressure increases, and the temperature stays the same

7. The average kinetic energy of the molecules in an ideal gas increase with the volume remaining constant. Which of these statements must be true? a. both the pressure and the temperature increase b. the number density decreases c. the temperature increases, and the pressure stays the same. d. the pressure increases, and the temperature stays the same

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter10: Thermal Physics

Section: Chapter Questions

Problem 29P

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The law of atmospheres states that the number density of molecules in the atmosphere depends on height y above sea level according to nV(y)=n0en0gy/kaT where n0 is the number density at sea level (where y = 0). The average height of a molecule in the Earths atmosphere is given by yavg=0ynV(y)dy0nV(y)dy=0yen0gy/kaTdy0en0gy/kaTdy (a) Prove that this average height is equal to kBT/m0g. (b) Evaluate the average height, assuming the temperature is 10.0C and the molecular mass is 28.9 u, both uniform throughout the atmosphere.
The pressure in a constant-volume gas thermometer is 0.700 atm at 1.00 102C and 0.512 atm at 0C. (a) What is the temperature when the pressure is 0.040 0 atm? (b) What is the pressure at 450C?
em>. The volume of an ideal gas enclosed in a thin, elastic membrane in a room at sea level where the air temperature is 18°C is 8 10-3 m3 .If the temperature of the room is increased by 10°C, what is the new volume of the gas?
The pressure in a constant-volume gas thermometer is 0.700 atm at 1.00 102C and 0.512 atm at 0C. (a) What is the temperature when the pressure is 0.040 0 atm? (b) What is the pressure at 450C?
(a) Hydrogen molecules (molar mass is equal to 2.016 g/mol) have vrms equal to 193 m/s. What is the temperature? (b) Much of the gas near the Sun is atomic hydrogen (H rather than H2). Its temperature would have to be 1.5107 K for the speed vrms to equal the escape velocity from the Sun. What is that velocity?
A 20.0-L tank of carbon dioxide gas (CO2) is at a pressure of 9.50 105 Pa and temperature of 19.0C (a) Calculate the temperature of the gas in Kelvin. (b) Use the ideal gas law to calculate the number of moles of gas in the tank. (c) Use the periodic table to compute the molecular weight of carbon dioxide, expressing it in grams per mole. (d) Obtain the number of grains of carbon dioxide in the tank. (e) A fire breaks out, raising the ambient temperature by 224.0 K while 82.0 g of gas leak out of the tank. Calculate the new temperature and the number of moles of gas remaining in the tank. (f) Using a technique analogous to that in Example 10.6b, find a symbolic expression for the final pressure, neglecting the change in volume of the tank. (g) Calculate the final pressure in the tank as a result of the fire and leakage.
A 20.0-L tank of carbon dioxide gas (CO2) is at a pressure of 9.50 105 Pa and temperature of 19.0C (a) Calculate the temperature of the gas in Kelvin. (b) Use the ideal gas law to calculate the number of moles of gas in the tank. (c) Use the periodic table to compute the molecular weight of carbon dioxide, expressing it in grams per mole. (d) Obtain the number of grains of carbon dioxide in the tank. (e) A fire breaks out, raising the ambient temperature by 224.0 K while 82.0 g of gas leak out of the tank. Calculate the new temperature and the number of moles of gas remaining in the tank. (f) Using a technique analogous to that in Example 10.6b, find a symbolic expression for the final pressure, neglecting the change in volume of the tank. (g) Calculate the final pressure in the tank as a result of the fire and leakage.
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You are looking to purchase a small piece of land in Hong Kong. The price is “only” 60,000 per square meter! The land title says the dimensions are 20m30m. By how much would the total price change if you measured the parcel with a steel tape measure on a day when the temperature was 20C above normal?