An Introduction to Physical Science
14th Edition
ISBN: 9781305079137
Author: James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher: Cengage Learning
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Chapter 5, Problem 19E
To determine
The new pressure of a sample of neon gas.
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A hot air balloon uses the principle of buoyancy to create lift. By making the air inside the balloon less dense then the surrounding air, the balloon is able to lift objects many times its own weight. A large hot air balloon has a maximum balloon volume of 2090 m3
a. What is the density of air inside the balloon, in terms of the pressure P, temperature T, molar mass M, and the gas constant R?
b. How much mass can this balloon lift (in addition to the mass of the gas inside) in terms the balloon volume Vb, the atmosphere air density ρa, the density of the air in the balloon ρg, and the gravitational acceleration g?
c. If the air temperature in the balloon is 54 °C, how much additional mass, in kilograms, can the balloon lift? Assume the molar mass of air is 28.97 g/mol, the air density is 1.20 kg/m3, and the air pressure is 1 atm.
A hot air balloon uses the principle of buoyancy to create lift. By making the air inside the balloon less dense then the surrounding air, the balloon is able to lift objects many times its own weight. A large hot air balloon has a maximum balloon volume of 2660 m3.
What is the density of air inside the balloon, in terms of the pressure P, temperature T, molar mass M, and the gas constant R?
How much mass can this balloon lift (in addition to the mass of the gas inside) in terms the balloon volume Vb, the atmosphere air density ρa, the density of the air in the balloon ρg, and the gravitational acceleration g?
If the air temperature in the balloon is 62 °C, how much additional mass, in kilograms, can the balloon lift? Assume the molar mass of air is 28.97 g/mol, the air density is 1.20 kg/m3, and the air pressure is 1 atm.
The density of helium gas at 0°C is p. = 0.179 kg/m3. The temperature is then raised to T = 95°C, but the pressure is kept constant. Assuming that helium is an ideal gas, calculate the new density p, of the gas.
kg/m³
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Chapter 5 Solutions
An Introduction to Physical Science
Ch. 5.1 - We talk about temperature, but what does it...Ch. 5.1 - Are there any limits on the lowest and highest...Ch. 5.1 - Show that a temperature of 40 is the same on both...Ch. 5.2 - Prob. 1PQCh. 5.2 - Most substances contract with decreasing...Ch. 5.3 - What is specific about specific heat?Ch. 5.3 - Prob. 2PQCh. 5.3 - Prob. 5.2CECh. 5.3 - How much heat must be removed from 0.20 kg of...Ch. 5.4 - What are the three methods of heat transfer?
Ch. 5.4 - Prob. 2PQCh. 5.5 - Prob. 1PQCh. 5.5 - Prob. 2PQCh. 5.6 - In the ideal gas law, pressure is directly...Ch. 5.6 - Prob. 2PQCh. 5.6 - Prob. 5.4CECh. 5.7 - Prob. 1PQCh. 5.7 - Prob. 2PQCh. 5 - Prob. AMCh. 5 - Prob. BMCh. 5 - Prob. CMCh. 5 - Prob. DMCh. 5 - Prob. EMCh. 5 - Prob. FMCh. 5 - Prob. GMCh. 5 - Prob. HMCh. 5 - Prob. IMCh. 5 - Prob. JMCh. 5 - Prob. KMCh. 5 - Prob. LMCh. 5 - Prob. MMCh. 5 - Prob. NMCh. 5 - Prob. OMCh. 5 - Prob. PMCh. 5 - Prob. QMCh. 5 - Prob. RMCh. 5 - Prob. SMCh. 5 - Prob. TMCh. 5 - Prob. UMCh. 5 - Prob. VMCh. 5 - Prob. WMCh. 5 - Prob. XMCh. 5 - Prob. YMCh. 5 - Prob. 1MCCh. 5 - Which unit of the following is smaller? (5.2) (a)...Ch. 5 - Prob. 3MCCh. 5 - Prob. 4MCCh. 5 - Prob. 5MCCh. 5 - Prob. 6MCCh. 5 - Prob. 7MCCh. 5 - Which of the following has a definite volume but...Ch. 5 - If the average kinetic energy of the molecules in...Ch. 5 - When we use the ideal gas law, the temperature...Ch. 5 - Prob. 11MCCh. 5 - Prob. 12MCCh. 5 - When a bimetallic strip is heated, it bends away...Ch. 5 - Prob. 2FIBCh. 5 - Prob. 3FIBCh. 5 - Prob. 4FIBCh. 5 - Prob. 5FIBCh. 5 - Prob. 6FIBCh. 5 - Prob. 7FIBCh. 5 - The ___ phase of matter has no definite shape, and...Ch. 5 - Prob. 9FIBCh. 5 - In the ideal gas law, pressure is ___ proportional...Ch. 5 - Prob. 11FIBCh. 5 - Prob. 12FIBCh. 5 - When the temperature changes during the day, which...Ch. 5 - Prob. 2SACh. 5 - The two common liquids used in liquid-in-glass...Ch. 5 - An older type of thermostat used in furnace and...Ch. 5 - Heat may be thought of as the middleman of energy....Ch. 5 - When one drinking glass is stuck inside another,...Ch. 5 - Prob. 7SACh. 5 - What does the specific heat of a substance tell...Ch. 5 - When eating a piece of hot apple pie, you may find...Ch. 5 - Prob. 10SACh. 5 - When you exhale outdoors on a cold day, you can...Ch. 5 - Compare the SI units of specific heat and latent...Ch. 5 - Give two examples each of good thermal conductors...Ch. 5 - Prob. 14SACh. 5 - Prob. 15SACh. 5 - Thermal underwear is made to fit loosely. ( Fig....Ch. 5 - What determines the phase of a substance?Ch. 5 - Give descriptions of a solid, a liquid, and a gas...Ch. 5 - Prob. 19SACh. 5 - How does the kinetic theory describe a gas?Ch. 5 - Prob. 21SACh. 5 - Prob. 22SACh. 5 - Prob. 23SACh. 5 - In terms of kinetic theory, explain why a...Ch. 5 - Prob. 25SACh. 5 - Prob. 26SACh. 5 - Prob. 27SACh. 5 - Prob. 28SACh. 5 - What can be said about the total entropy of the...Ch. 5 - Prob. 30SACh. 5 - Prob. 31SACh. 5 - Prob. 1VCCh. 5 - Prob. 1AYKCh. 5 - Prob. 2AYKCh. 5 - Prob. 3AYKCh. 5 - Prob. 4AYKCh. 5 - Prob. 5AYKCh. 5 - Prob. 6AYKCh. 5 - When you freeze ice cubes in a tray, there is a...Ch. 5 - Prob. 8AYKCh. 5 - Prob. 1ECh. 5 - Prob. 2ECh. 5 - Prob. 3ECh. 5 - Prob. 4ECh. 5 - Researchers in the Antarctic measure the...Ch. 5 - Prob. 6ECh. 5 - A college student produces about 100 kcal of heat...Ch. 5 - Prob. 8ECh. 5 - A pound of body fat stores an amount of chemical...Ch. 5 - Prob. 10ECh. 5 - On a brisk walk, a person burns about 325 Cal/h....Ch. 5 - Prob. 12ECh. 5 - How much heat in kcal must be added to 0.50 kg of...Ch. 5 - Prob. 14ECh. 5 - (a) How much energy is necessary to heat 1.0 kg of...Ch. 5 - Equal amounts of heat are added to equal masses of...Ch. 5 - How much heat is necessary to change 500 g of ice...Ch. 5 - A quantity of steam (300 g) at 110C is condensed,...Ch. 5 - Prob. 19ECh. 5 - A fire breaks out and increases the Kelvin...Ch. 5 - A cylinder of gas is at room temperature (20C)....Ch. 5 - A cylinder of gas at room temperature has a...Ch. 5 - A quantity of gas in a piston cylinder has a...Ch. 5 - If the gas in Exercise 23 is initially at room...
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- 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 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_forwardA 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_forward
- A gas is at 200 K. If we wish to double the rms speed of the molecules of the gas, to what value must we raise its temperature? (a) 283 K (b) 400 K (c) 566 K (d) 800 K (e) 1 130 Karrow_forwardThe pressure gauge on a cylinder of gas registers the gauge pressure, which is the difference between the interior pressure and the exterior pressure P0. Lets call the gauge pressure Pg. When the cylinder is full, the mass of the gas in it is mi at a gauge pressure of Pgi. Assuming the temperature of the cylinder remains constant, show that the mass of the gas remaining in the cylinder when the pressure reading is Pgf is given by mf=mi(Pgf+P0Pgi+P0)arrow_forwardAn ideal gas is trapped inside a tube of uniform cross-sectional area sealed at one end as shown in Figure P19.49. A column of mercury separates the gas from the outside. The tube can be turned in a vertical plane. In Figure P19.49A, the column of air in the tube has length L1, whereas in Figure P19.49B, the column of air has length L2. Find an expression (in terms of the parameters given) for the length L3 of the column of air in Figure P19.49C, when the tube is inclined at an angle with respect to the vertical. FIGURE P19.49arrow_forward
- Two cylinders A and B at the same temperature contain the same quantity of the same kind of gas. Cylinder A has three times the volume of cylinder B. What can you conclude about the pressures the gases exert? (a) We can conclude nothing about the pressures. (b) The pressure in A is three times the pressure in B. (c) The pressures must be equal. (d) The pressure in A must be one-third the pressure in B.arrow_forward(a) An ideal gas occupies a volume of 1.0 cm3 at 20.C and atmospheric pressure. Determine the number of molecules of gas in the container, (b) If the pressure of the 1.0-cm3 volume is reduced to 1.0 1011 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container?arrow_forwardA 40.0-g projectile is launched by the expansion of hot gas in an arrangement shown in Figure P12.4a. The cross sectional area of the launch tube is 1.0 cm2, and the length that the projectile travels down the tube after starting from rest is 52 cm. As the gas expands, the pressure varies as shown in Figure P12.4b. The values for the initial pressure and volume are P1 = 11 105 Pa and Vi = 8.0 cm3 while the final values are Pf = 1.0 105 Pa and Vf = 8.0 cm3. Friction between the projectile and the launch tube is negligible, (a) If the projectile is launched into a vacuum, what is the speed of the projectile as it leaves the launch tube? (b) If instead the projectile is launched into air at a pressure of 1.0 105 Pa. what fraction of the work done by the expanding gas in the tube is spent by the projectile pushing air out of the way as it proceeds down tile tube?arrow_forward
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