EP PHYSICS F/SCI.+ENG.W/MOD..-MOD.MAST.
5th Edition
ISBN: 9780134402635
Author: GIANCOLI
Publisher: PEARSON CO
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(a) An ideal gas occupies a volume of 1.8 cm3 at 20°C and atmospheric pressure. Determine the number of molecules of gas in the container.
molecules
(b) If the pressure of the 1.8-cm3 volume is reduced to 2.6 x 10-11 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container?
mol
(a) An ideal gas occupies a volume of 2.6 cm at 20°C and atmospheric pressure. Determine the number of molecules of gas in the container.
molecules
(b) If the pressure of the 2.6-cm volume is reduced to 1.8 x 10-11 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container?
mol
77 SSM Figure 19-28 shows a hy-
pothetical speed distribution for
particles of a certain gas: P(v) = Cv2
for 0
Vg. Find (a) an expression for C in
terms of vo, (b) the average speed of
the particles, and (c) their rms speed.
%3D
Vo
Speed
Figure 19-28 Problem 77.
(4)d
Chapter 18 Solutions
EP PHYSICS F/SCI.+ENG.W/MOD..-MOD.MAST.
Ch. 18.1 - Prob. 1AECh. 18.1 - Prob. 1BECh. 18.1 - Prob. 1CECh. 18.1 - Prob. 1DECh. 18.4 - Prob. 1EECh. 18 - Why doesnt the size of different molecules enter...Ch. 18 - When a gas is rapidly compressed (say, by pushing...Ch. 18 - In Section 181 we assumed the gas molecules made...Ch. 18 - Explain in words how Charless law follows from...Ch. 18 - Prob. 5Q
Ch. 18 - As you go higher in the Earths atmosphere, the...Ch. 18 - Prob. 7QCh. 18 - Explain why the peak of the curve for 310 K in...Ch. 18 - Is temperature a macroscopic or microscopic...Ch. 18 - Escape velocity for the Earth refers to the...Ch. 18 - Prob. 11QCh. 18 - If the pressure in a gas is doubled while its...Ch. 18 - What everyday observation would tell you that not...Ch. 18 - Alcohol evaporates more quickly than water at room...Ch. 18 - Explain why a hot humid day is far more...Ch. 18 - Is it possible to boil water at room temperature...Ch. 18 - What exactly does it mean when we say that oxygen...Ch. 18 - A length of thin wire is placed over a block of...Ch. 18 - Consider two days when the air temperature is the...Ch. 18 - (a) Why does food cook faster in a pressure...Ch. 18 - How do a gas and a vapor differ?Ch. 18 - (a) At suitable temperatures and pressures, can...Ch. 18 - Why does dry ice not last long at room...Ch. 18 - Under what conditions can liquid CO2 exist? Be...Ch. 18 - Why does exhaled air appear as a little white...Ch. 18 - Prob. 26QCh. 18 - Prob. 27QCh. 18 - Prob. 1MCQCh. 18 - Prob. 2MCQCh. 18 - Prob. 3MCQCh. 18 - Prob. 4MCQCh. 18 - Prob. 5MCQCh. 18 - Prob. 6MCQCh. 18 - Prob. 7MCQCh. 18 - Prob. 8MCQCh. 18 - Prob. 9MCQCh. 18 - Prob. 10MCQCh. 18 - Prob. 1PCh. 18 - Prob. 2PCh. 18 - Prob. 3PCh. 18 - Prob. 4PCh. 18 - Prob. 5PCh. 18 - Prob. 6PCh. 18 - (I) A 1.0-mol sample of hydrogen gas has a...Ch. 18 - Prob. 8PCh. 18 - Prob. 9PCh. 18 - Prob. 10PCh. 18 - Prob. 11PCh. 18 - Prob. 12PCh. 18 - Prob. 13PCh. 18 - Prob. 14PCh. 18 - Prob. 15PCh. 18 - Prob. 16PCh. 18 - Prob. 17PCh. 18 - Prob. 18PCh. 18 - Prob. 19PCh. 18 - (I) A group of 25 particles have the following...Ch. 18 - Prob. 21PCh. 18 - Prob. 22PCh. 18 - Prob. 24PCh. 18 - (I) (a) At atmospheric pressure, in what phases...Ch. 18 - Prob. 26PCh. 18 - Prob. 27PCh. 18 - Prob. 28PCh. 18 - Prob. 29PCh. 18 - Prob. 30PCh. 18 - Prob. 31PCh. 18 - Prob. 32PCh. 18 - (II) A pressure cooker is a sealed pot designed to...Ch. 18 - Prob. 34PCh. 18 - Prob. 35PCh. 18 - Prob. 36PCh. 18 - Prob. 37PCh. 18 - Prob. 38PCh. 18 - Prob. 39PCh. 18 - Prob. 40PCh. 18 - Prob. 41PCh. 18 - Prob. 42PCh. 18 - Prob. 43PCh. 18 - Prob. 44PCh. 18 - Prob. 45PCh. 18 - Prob. 46PCh. 18 - Prob. 47PCh. 18 - Prob. 49PCh. 18 - Prob. 53PCh. 18 - A sample of ideal gas must contain at least N =...Ch. 18 - In outer space the density of matter is about one...Ch. 18 - Calculate approximately the total translational...Ch. 18 - (a) Estimate the rms speed of an amino acid, whose...Ch. 18 - The escape speed from the Earth is 1.12 104 m/s,...Ch. 18 - Prob. 63GPCh. 18 - Prob. 66GPCh. 18 - Prob. 69GPCh. 18 - Prob. 71GPCh. 18 - Prob. 72GPCh. 18 - Prob. 73GPCh. 18 - Prob. 74GPCh. 18 - Prob. 75GPCh. 18 - Prob. 76GPCh. 18 - Prob. 77GP
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- The following figure is a histogram showing the speeds of the molecules in a very small gas. What are (a) the most probable speed, (b) the average speed, and (c) the rms speed?arrow_forwardInitially, the translational rms speed of a molecule if an ideal gas is 560 m/s. The pressure and volume of this gas are kept constant, while the number of molecules is increased by a factor of 7. What is the final translational rms speed of the molecules?arrow_forwardTwo containers hold an ideal gas at the same temperature and pressure. Both containers hold the same type of gas, but container B has twice the volume of container A. (i) What is the average translational kinetic energy per molecule in container B? (a) twice that of container A (b) the same as that of container A (c) half that of container A (d) impossible to determine (ii) From the same choices, describe the internal energy of the gas in container B.arrow_forward
- Determine the average value of the translational kinetic energy of the molecules of an ideal gas at temperatures (a) 0.00C and (b) 100C.What is the translational kinetic energy per mole of an ideal gas at (c) 0.00C and (d) 100C?arrow_forwardIf you double the typical speed of the molecules in a gas, by what factor does the pressure change? Give a simple explanation why the pressure changes by this factor.arrow_forwardConsider a given volume of helium gas at room temperature (20.0 °C). [Molar mass of helium is 4.00 × 10-³ kg mol−1] (i) Calculate the average speed of a molecule of the gas. Give your answer in scientific notation and specified to an appropriate number of significant figures, in the empty box below. = m s−1 (ii) At what temperature would the average translational energy of the gas be one third of the average translational energy at room temperature? Give your answer by entering numbers, specified to an appropriate number of significant figures, into the empty box below. temperature = Karrow_forward
- 8 (I) One mole of a monatomic ideal gas has an initial volume of 1 L, an internal energy of 100 J and is at a pressure of 3 atm. (a) What is the initial temperature? (b) The gas expands quasistatically at constant pressure until its volume doubles. Determine the new temperature and internal energy. (c) The gas then cools at constant volume until its pressure is halved. Determine the new temperature and internal energy. Depict the process on a PV diagram.arrow_forwardWhat is the value of the compressibility factor, Z. when the volume of 1 mol of a real gas is smaller than that of 1 mol of an ideal gas at constant pressure and temperature? 7 < 1 Z = 1 Z>1 Z cannot be determinedarrow_forwardThe temperature of 2.85 mol of an ideal diatomic gas is increased by 51.3 °C without the pressure of the gas changing. The molecules in the gas rotate but do not oscillate. (a) How much energy is transferred to the gas as heat? (b) What is the change in the internal energy of the gas? (c) How much work is done by the gas? (d) By how much does the rotational kinetic energy of the gas increase? (a) Number i Units (b) Number Units Units (c) Number Units (d) Numberarrow_forward
- An ideal gas is contained in a vessel at 500 K. The temperature of the gas is then increased to 1500 K. (i) By what factor does the average kinetic energy of the molecules change? (ii) By what factor does the rms molecular speed of the molecules change? (iii) By what factor does the average momentum change that one molecule undergoes in a collision with one particular wall? (iv) By what factor does the rate of collisions of molecules with walls change? (v) By what factor does the pressure of the gas change?arrow_forward(a) What is the average kinetic energy of a gas molecule at 20.0ºC (room temperature)? (b) Find the rms speed of a nitrogen molecule (N2 ) at this temperature.arrow_forwardInitially, the translational RMS speed of an atom of a monoatomic ideal gas is 250 m/s. The pressure and volume of the gas are each doubled while the number of moles of the gas is kept constant. What is the final translational RMS speed of the atoms?arrow_forward
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