- A 500 mL incandescent light bulb is filled with 1.5 * 10-5 mol of xenon to minimize the rate of evaporation of the tungsten filament. What is the pressure of xenon in the light bulb at 25 _x001F_C?
Problem 1
Problem 2b
You have a sample of gas in a container with a movable piston, such as the one in the drawing. b. Redraw the container to show what it might look like if the external pressure on the piston is increased from 1.0 atm to 2.0 atm while the temperature is kept constant.
Problem 6
The apparatus shown here has two gas-filled containers and one empty container, all attached to a hollow horizontal tube closed at both ends.
a. How many blue gas molecules are in the left container?
b. How many red gas molecules are in the middle container?
c. When the valves are opened and the gases are allowed to mix at constant temperature, how many atoms of each type of gas end up in the originally empty container? Assume that the containers are of equal volume and ignore the volume of the connecting tube. [Section 10.4]
- Suppose you have two 1-L flasks, one containing N2 at STP, the other containing CH4 at STP. How do these systems compare with respect to (d) the rate of effusion through a pinhole leak?
Problem 8
Problem 9b
Consider the following graph. (b) If A and B refer to the same gas at two different temperatures, which represents the higher temperature?
Problem 10c
Consider the following samples of gases:
If the three samples are all at the same temperature, rank them with respect to (c) density
Problem 11
A thin glass tube 1 m long is filled with Ar gas at 101.3 kPa, and the ends are stoppered with cotton plugs as shown below. HCl gas is introduced at one end of the tube, and simultaneously NH3 gas is introduced at the other end. When the two gases diffuse through the cotton plugs down the tube and meet, a white ring appears due to the formation of NH4Cl1s2. At which location—a, b, or c—do you expect the ring to form?
Problem 12a
The graph below shows the change in pressure as the temperature increases for a 1-mol sample of a gas confined to a 1-L container. The four plots correspond to an ideal gas and three real gases: CO2, N2, and Cl2. (a) At room temperature, all three real gases have a pressure less than the ideal gas. Which van der Waals constant, a or b, accounts for the influence intermolecular forces have in lowering the pressure of a real gas?
Problem 12b
The graph below shows the change in pressure as the temperature increases for a 1-mol sample of a gas confined to a 1-L container. The four plots correspond to an ideal gas and three real gases: CO2, N2, and Cl2. (b) Use the van der Waals constants in Table 10.3 to match the labels in the plot (A, B, and C) with the respective gases 1CO2, N2, and Cl22.
Problem 14b
(b) Which units are appropriate for expressing atmospheric pressures, N, Pa, atm, kg/m2?
Problem 14c
(c) Which is most likely to be a gas at room temperature and ordinary atmospheric pressure, F2, Br2, K2O?
Problem 15a
Suppose that a woman weighing 130 lb and wearing high-heeled shoes momentarily places all her weight on the heel of one foot. If the area of the heel is 0.50 in.2, calculate the pressure exerted on the underlying surface in a. pounds per square inch,
Problem 15c
Suppose that a woman weighing 130 lb and wearing high-heeled shoes momentarily places all her weight on the heel of one foot. If the area of the heel is 0.50 in.2, calculate the pressure exerted on the underlying surface in c. atmospheres.
Problem 16
A set of bookshelves rests on a hard floor surface on four legs, each having a cross-sectional dimension of 3.0×4.1 cm in contact with the floor. The total mass of the shelves plus the books stacked on them is 262 kg. Calculate the pressure in pascals exerted by the shelf footings on the surface.
Problem 17a
How high in meters must a column of glycerol be to exert a pressure equal to that of a 760-mm column of mercury? The density of glycerol is 1.26 g/mL, whereas that of mercury is 13.6 g/mL.
Problem 17b
What pressure, in atmospheres, is exerted on the body of a diver if they are 15 ft below the surface of the water when the atmospheric pressure is 750 torr? Assume that the density of the water is 1.00 g/cm3=1.00×103 kg/m3. The gravitational constant is 9.81 m/s2, and 1 Pa=1 kg/m-s2.
Problem 18a
(a) The compound 1-iodododecane is a nonvolatile liquid with a density of 1.20 g>mL. The density of mercury is 13.6 g>mL. What do you predict for the height of a barometer column based on 1-iodododecane, when the atmospheric pressure is 749 torr?
Problem 19c
The typical atmospheric pressure on top of Mount Everest (29,032 ft) is about 265 torr. Convert this pressure to c. pascals,
Problem 19d
The typical atmospheric pressure on top of Mount Everest (29,032 ft) is about 265 torr. Convert this pressure to d. bars,
Problem 20d
Perform the following conversions: (d) 1.323 * 105 Pa to atmospheres
- In the United States, barometric pressures are generally reported in inches of mercury (in. Hg). On a beautiful summer day in Chicago, the barometric pressure is 30.45 in. Hg. (a) Convert this pressure to torr.
Problem 21
Problem 22a
Hurricane Wilma of 2005 is the most intense hurricane on record in the Atlantic basin, with a low-pressure reading of 882 mbar (millibars). Convert this reading into (a) atmospheres.
Problem 22b
Hurricane Wilma of 2005 is the most intense hurricane on record in the Atlantic basin, with a low-pressure reading of 882 mbar (millibars). Convert this reading into (b) torr.
Problem 22c
Hurricane Wilma of 2005 is the most intense hurricane on record in the Atlantic basin, with a low-pressure reading of 882 mbar (millibars). Convert this reading into (c) inches of Hg.
Problem 23a
If the atmospheric pressure is 0.995 atm, what is the pressure of the enclosed gas in each of the three cases depicted in the drawing? Assume that the gray liquid is mercury. (i)
Problem 23b
If the atmospheric pressure is 0.995 atm, what is the pressure of the enclosed gas in each of the three cases depicted in the drawing? Assume that the gray liquid is mercury. (ii)
Problem 24
An open-end manometer containing mercury is connected to a container of gas, as depicted in Sample Exercise 10.2. What is the pressure of the enclosed gas in torr in each of the following situations? (a) The mercury in the arm attached to the gas is 15.4 mm higher than in the one open to the atmosphere; atmospheric pressure is 0.985 atm.
Problem 24b
If a car tire is filled to a pressure of 32.0 lb/in.2 (psi) measured at 75°F, what will be the tire pressure if the tires heat up to 120°F during driving?
Problem 25c
You have a gas at 25 C confined to a cylinder with a movable piston. Which of the following actions would double the gas pressure? (a) Lifting up on the piston to double the volume while keeping the temperature constant (b) Heating the gas so that its temperature rises from 25 C to 50 C, while keeping the volume constant (c) Pushing down on the piston to halve the volume while keeping the temperature constant.
- A fixed quantity of gas at 25 _x001F_C exhibits a pressure of 99 kPa and occupies a volume of 4.00 L. (a) Calculate the volume the gas will occupy if the pressure is increased to 202.6 kPa while the temperature is held constant. (b) Calculate the volume the gas will occupy if the temperature is increased to 100 °C while the pressure is held constant.
Problem 26
Ch.10 - Gases
