Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 19, Problem 71AP
To determine
To show: The total pressure in a container filled with a mixture of several ideal gases is given by
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Starting with as shown, show that the total pressure P in a container filled with a mixture of several ideal gases is P = P1 + P2 + P3 + ⋅⋅⋅ , where P1, P2, ⋅⋅⋅ are the pressures that each gas would exert if it alone filled the container. (These individual pressures are called the partial pressures of the respective gases.) This result is known as Dalton’s law of partial pressures.
A fixed quantity of gas is held in a cylinder capped at one end by a movable piston. The pressure of the
gas is initially 2 atmosphere (202 kPa) and the volume is initially 0.5 m^3. What is the final volume of
the gas if the pressure is increased to 5 atmospheres at constant temperature?
O 2 m^3
O 4 m^3
O 6 m^3
8 m^3
The pressure of a sample of gas is measured at sea level with an open-end mercury manometer. Assuming
atmospheric pressure is 760 mm Hg, determine the pressure of the gas in:
Open end
Gas
26.4 cm
(a)
mm Hg
(b)
atm
(c)
kPa
Chapter 19 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 19.1 - Prob. 19.1QQCh. 19.3 - Consider the following pairs of materials. Which...Ch. 19.4 - If you are asked to make a very sensitive glass...Ch. 19.4 - Prob. 19.4QQCh. 19.5 - A common material for cushioning objects in...Ch. 19.5 - On a winter day, you turn on your furnace and the...Ch. 19 - Prob. 1OQCh. 19 - Prob. 2OQCh. 19 - Prob. 3OQCh. 19 - Prob. 4OQ
Ch. 19 - Prob. 5OQCh. 19 - Prob. 6OQCh. 19 - Prob. 7OQCh. 19 - Prob. 8OQCh. 19 - Prob. 9OQCh. 19 - Prob. 10OQCh. 19 - Prob. 11OQCh. 19 - Prob. 12OQCh. 19 - Prob. 13OQCh. 19 - Prob. 14OQCh. 19 - Prob. 1CQCh. 19 - Prob. 2CQCh. 19 - Prob. 3CQCh. 19 - Prob. 4CQCh. 19 - Prob. 5CQCh. 19 - Metal lids on glass jars can often be loosened by...Ch. 19 - Prob. 7CQCh. 19 - Prob. 8CQCh. 19 - Prob. 9CQCh. 19 - Prob. 10CQCh. 19 - Prob. 1PCh. 19 - Prob. 2PCh. 19 - Prob. 3PCh. 19 - Prob. 4PCh. 19 - Liquid nitrogen has a boiling point of 195.81C at...Ch. 19 - Prob. 6PCh. 19 - Prob. 7PCh. 19 - Prob. 8PCh. 19 - Prob. 9PCh. 19 - Prob. 10PCh. 19 - A copper telephone wire has essentially no sag...Ch. 19 - Prob. 12PCh. 19 - The Trans-Alaska pipeline is 1 300 km long,...Ch. 19 - Prob. 14PCh. 19 - Prob. 15PCh. 19 - Prob. 16PCh. 19 - Prob. 17PCh. 19 - Why is the following situation impossible? A thin...Ch. 19 - A volumetric flask made of Pyrex is calibrated at...Ch. 19 - Review. On a day that the temperature is 20.0C, a...Ch. 19 - Prob. 21PCh. 19 - Prob. 22PCh. 19 - Prob. 23PCh. 19 - Prob. 24PCh. 19 - Prob. 25PCh. 19 - Prob. 26PCh. 19 - Prob. 27PCh. 19 - Prob. 28PCh. 19 - Prob. 29PCh. 19 - Prob. 30PCh. 19 - An auditorium has dimensions 10.0 m 20.0 m 30.0...Ch. 19 - Prob. 32PCh. 19 - Prob. 33PCh. 19 - Prob. 34PCh. 19 - Prob. 35PCh. 19 - In state-of-the-art vacuum systems, pressures as...Ch. 19 - Prob. 37PCh. 19 - Prob. 38PCh. 19 - Prob. 39PCh. 19 - Prob. 40PCh. 19 - Prob. 41PCh. 19 - Prob. 42PCh. 19 - Prob. 43PCh. 19 - The pressure gauge on a cylinder of gas registers...Ch. 19 - Prob. 45APCh. 19 - Prob. 46APCh. 19 - Prob. 47APCh. 19 - Prob. 48APCh. 19 - Prob. 49APCh. 19 - Why is the following situation impossible? An...Ch. 19 - Prob. 51APCh. 19 - Prob. 52APCh. 19 - Prob. 53APCh. 19 - Prob. 54APCh. 19 - A student measures the length of a brass rod with...Ch. 19 - Prob. 56APCh. 19 - A liquid has a density . (a) Show that the...Ch. 19 - Prob. 59APCh. 19 - Prob. 60APCh. 19 - The rectangular plate shown in Figure P19.61 has...Ch. 19 - Prob. 62APCh. 19 - Prob. 63APCh. 19 - Prob. 64APCh. 19 - Prob. 65APCh. 19 - Prob. 66APCh. 19 - Prob. 67APCh. 19 - Prob. 68APCh. 19 - Prob. 69APCh. 19 - Prob. 70APCh. 19 - Prob. 71APCh. 19 - Prob. 72CPCh. 19 - Prob. 73CPCh. 19 - Prob. 74CPCh. 19 - Prob. 75CPCh. 19 - Prob. 76CPCh. 19 - Prob. 77CPCh. 19 - Prob. 78CPCh. 19 - A 1.00-km steel railroad rail is fastened securely...
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- A vertical cylinder of cross-sectional area A is fitted with a tight-fitting, frictionless piston of mass m (Fig. P16.56). The piston is not restricted in its motion in any way and is supported by the gas at pressure P below it. Atmospheric pressure is P0. We wish to find die height h in Figure P16.56. (a) What analysis model is appropriate to describe the piston? (b) Write an appropriate force equation for the piston from this analysis model in terms of P, P0, m, A, and g. (c) Suppose n moles of an ideal gas are in the cylinder at a temperature of T. Substitute for P in your answer to part (b) to find the height h of the piston above the bottom of the cylinder.arrow_forwardA vertical cylinder of cross-sectional area A is fitted with a tight-fitting, frictionless piston of mass m (Fig. P18.40). The piston is not restricted in its motion in any way and is supported by the gas at pressure P below it. Atmospheric pressure is P0. We wish to find the height h in Figure P18.40. (a) What analysis model is appropriate to describe the piston? (b) Write an appropriate force equation for the piston from this analysis model in terms of P, P0, m, A, and g. (c) Suppose n moles of an ideal gas are in the cylinder at a temperature of T. Substitute for P in your answer to part (b) to find the height h of the piston above the bottom of the cylinder. Figure P18.40arrow_forwardHow many cubic meters of helium are required to lift a balloon with a 400-kg payload to a height of 8 000 m? Take He = 0.179 kg/m3. Assume the balloon maintains a constant volume and the density of air decreases with the altitude z according to the expression air = 0ez/8, where z is in meters and 0 = 1.20 kg/m3 is the density of air at sea level.arrow_forward
- The mass of a single hydrogen molecule is approximately 3.32 1027 kg. There are 5.64 1023 hydrogen molecules in a box with square walls of area 49.0 cm2. If the rms speed of the molecules is 2.72 103 m/s, calculate the pressure exerted by the gas.arrow_forwardA manometer containing water with one end connected to a container of gas has a column height difference of 0.60 m (Fig. P15.72). If the atmospheric pressure on the right column is 1.01 105 Pa, find the absolute pressure of the gas in the container. The density of water is 1.0 103 kg/m3. FIGURE P15.72arrow_forwardHow many cubic meters of helium are required to lift a light balloon with a 400-kg payload to a height of 8 000 m? Take Hc = 0.179 kg/m3. Assume the balloon maintains a constant volume and the density of air decreases with the altitude z according to the expression pair = 0e-z/8 000, where z is in meters and 0 = 1.20 kg/m3 is the density of air at sea level.arrow_forward
- A gas is in a container of volume V0 at pressure P0. It is being pumped out of the container by a piston pump. Each stroke of the piston removes a volume Vs through valve A and then pushes the air out through valve B as shown in Figure P19.74. Derive an expression that relates the pressure Pn of the remaining gas to the number of strokes n that have been applied to the container. FIGURE P19.74arrow_forwardA sealed cubical container 20.0 cm on a side contains a gas with three times Avogadros number of neon atoms at a temperature of 20.0C. (a) Find the internal energy of the gas. (b) Find the total translational kinetic energy of the gas. (c) Calculate the average kinetic energy per atom, (d) Use Equation 10.13 to calculate the gas pressure. (e) Calculate the gas pressure using the ideal gas law (Eq. 10.8).arrow_forwardAn ideal gas is contained in a vessel at 300 K. The temperature of the gas is then increased to 900 K. (i) By what factor does the average kinetic energy of the molecules change, (a) a factor of 9, (b) a factor of 3, (c) a factor of 3, (d) a factor of 1, or (e) a factor of 13? Using the same choices as in part (i), by what factor does each of the following change: (ii) the rms molecular speed of the molecules, (iii) the average momentum change that one molecule undergoes in a collision with one particular wall, (iv) the rate of collisions of molecules with walls, and (v) the pressure of the gas?arrow_forward
- Cylinder A contains oxygen (O2) gas, and cylinder B contains nitrogen (N2) gas. If the molecules in the two cylinders have the same rms speeds, which of the following statements is false? (a) The two gases haw different temperatures. (b) The temperature of cylinder B is less than the temperature of cylinder A. (c) The temperature of cylinder B is greater than the temperature of cylinder A. (d) The average kinetic energy of the nitrogen molecules is less than the average kinetic energy of the oxygen molecules.arrow_forwardA tank containing gas is separated into two compartments, labelled A and B, by a partition. A and B each carries volume of 15 m3 and 5 m3, respectively. Initially, the specific volume of gas in B is 5 m/kg. When the partition is removed, the resulting specific volume becomes 8 m3/kg. Find the original specific volume of gas in A.arrow_forward
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