Physics (5th Edition)
Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Chapter 17, Problem 15PCE

The air inside a hot-air balloon has an average temperature of 79.2 °C. The outside air has a temperature of 20.3 °C. What is the ratio of the density of air in the balloon to the density of air in the surrounding atmosphere?

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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.
The pressure in an automobile tire depends on the temperature of the air in the tire. When the air temperature is 25°C, the pressure gage reads 210 kPa. If the volume of the tire is 0.025 m³, determine the pressure rise in the tire when the air temperature in the tire rises to 44°C. Also, determine the amount of air that must be bled off to restore pressure to its original value at this temperature. kJ kPa.m³ kJ Assume the atmospheric pressure to be 100 kPa. The gas constant of air is R = 0. 287- = 0.287 kg-K The pressure rise in the tire is 210.2 kPa. The amount of air that must be bled off to restore pressure to its original value is 0.000825 kg. kPa.m³ kg.K
Volume of the balloon is 11.79 L at 40.0 degrees Celsius and a pressure of 153 torr. What volume will the balloon have at standard temperature and pressure (STP)? Gas Laws Formulas V1P1 V2P2 Boyle's Law V,P1 = V2P2 Combined Gas Law %3D T1 T2 V1 V2 T T Charles' Law Dalton's Law Ptotal = P1 + P2+ P3. MM2 MM1 P1 P2 rate, Gay-Lussac's Law Graham's Law T T rate2 V1 V2 PV = nRT L·atm %3D Avogadro's Law Ideal Gas Law R = 0.0821- n1 n2 mol K O 2.07 L 3.60 L 4.55 L 5.06 L ||

Chapter 17 Solutions

Physics (5th Edition)

Ch. 17 - A camping stove just barely boils water on a...Ch. 17 - An autoclave is a device used to sterilize medical...Ch. 17 - As the temperature of ice is increased, it changes...Ch. 17 - BIO Isopropyl alcohol is sometimes rubbed onto a...Ch. 17 - A drop of water on a kitchen counter evaporates in...Ch. 17 - (a) Is the number of molecules in one mole of N2...Ch. 17 - Predict/Explain If you put a helium-filled balloon...Ch. 17 - Two containers hold ideal gases at the same...Ch. 17 - Prob. 4PCECh. 17 - BIO After emptying her lungs, a person inhales 4.3...Ch. 17 - An automobile tire has a volume of 0.0185 m3. At a...Ch. 17 - Prob. 7PCECh. 17 - A compressed-air tank holds 0.500 m3 of air at a...Ch. 17 - Four ideal gases have the following pressures, P,...Ch. 17 - A balloon contains 3.9 liters of nitrogen gas at a...Ch. 17 - Prob. 11PCECh. 17 - Predict/Calculate A bicycle tire with a volume of...Ch. 17 - A 515-cm3 flask contains 0.460 g of a gas at a...Ch. 17 - Prob. 14PCECh. 17 - The air inside a hot-air balloon has an average...Ch. 17 - Prob. 16PCECh. 17 - Consider the system described in the previous...Ch. 17 - Prob. 18PCECh. 17 - Prob. 19PCECh. 17 - If the translational speed of molecules in an...Ch. 17 - At what temperature is the rms speed of H2 equal...Ch. 17 - Suppose a planet has an atmosphere of pure ammonia...Ch. 17 - Prob. 23PCECh. 17 - Prob. 24PCECh. 17 - Prob. 25PCECh. 17 - What is the temperature of a gas of CO2 molecules...Ch. 17 - The rms speed of a sample of gas is increased by...Ch. 17 - Prob. 28PCECh. 17 - A 380-mL spherical flask contains 0.065 mol of an...Ch. 17 - Prob. 30PCECh. 17 - A rock climber hangs freely from a nylon rope that...Ch. 17 - BIO To stretch a relaxed biceps muscle 2.5 cm...Ch. 17 - A 22-kg chimpanzee hangs from the end of a...Ch. 17 - The Marianas Trench The deepest place in all the...Ch. 17 - Four cylindrical rods with various cross-sectional...Ch. 17 - Predict/Calculate A steel wire 4.1 m long...Ch. 17 - BIO Spiderweb An orb weaver spider with a mass of...Ch. 17 - Predict/Calculate Two rods of equal length (0.55...Ch. 17 - A piano wire 0.82 m long and 0.93 mm in diameter...Ch. 17 - The formation of ice from water is accompanied by...Ch. 17 - Vapor Pressure for Water Figure 17-35 shows a...Ch. 17 - Using the vapor-pressure curve given in Figure...Ch. 17 - Prob. 43PCECh. 17 - Prob. 44PCECh. 17 - Predict/Calculate The Vapor Pressure of CO2 A...Ch. 17 - Phase Diagram for Water The phase diagram for...Ch. 17 - Phase Diagram for CO2 The phase diagram for CO2 is...Ch. 17 - Prob. 48PCECh. 17 - How much heat must be removed from 1.96 kg of...Ch. 17 - A heat transfer of 9.5 105 J is required to...Ch. 17 - How much heat must be added to 2.55 kg of copper...Ch. 17 - An ammonia refrigeration cycle involves the...Ch. 17 - Prob. 53PCECh. 17 - Prob. 54PCECh. 17 - Prob. 55PCECh. 17 - Figure 17-30 shows a temperature-versus-heat plot...Ch. 17 - Predict/Calculate Suppose the 1.000 kg of water in...Ch. 17 - Prob. 58PCECh. 17 - When you go out to your car one cold winter...Ch. 17 - A large punch bowl holds 3.99 kg of lemonade...Ch. 17 - A 155-g aluminum cylinder is removed from a liquid...Ch. 17 - An 825-g iron block is heated to 352 C and placed...Ch. 17 - Party Planning You are expecting to serve 32 cups...Ch. 17 - Predict/Calculate A 35-g ice cube at 0.0 C is...Ch. 17 - A 48-g block of copper at 12 C is added to 110 g...Ch. 17 - A 0 075-kg ice cube at 0.0 C is dropped into a...Ch. 17 - To help keep her barn warm on cold days, a farmer...Ch. 17 - CE As you go up in attitude, do you expect the...Ch. 17 - Prob. 69GPCh. 17 - Prob. 70GPCh. 17 - Prob. 71GPCh. 17 - Cooling Computers Researchers are developing heat...Ch. 17 - Prob. 73GPCh. 17 - Prob. 74GPCh. 17 - Evaporating Atmosphere Hydrogen gas evaporates...Ch. 17 - Prob. 76GPCh. 17 - A Boiling Geyser (a) The column of water that...Ch. 17 - A Melting Glacier (a) A glacier is made of ice of...Ch. 17 - Peter catches a 4 2-kg striped bass on a fishing...Ch. 17 - A steel ball (density=7860kg/m3) with a diameter...Ch. 17 - A lead brick with the dimensions shown in Figure...Ch. 17 - (a) Find the amount of heat that must be extracted...Ch. 17 - Mighty Ice Lift A tremendous force is generated...Ch. 17 - Orthopedic Implants Metals such as titanium and...Ch. 17 - Students on a spring break picnic bring a cooler...Ch. 17 - A 5.9-kg block of ice at 1.5 C slides on a...Ch. 17 - A cylindrical copper rod 37 cm long and 7.5 cm in...Ch. 17 - Prob. 88PPCh. 17 - Prob. 89PPCh. 17 - Prob. 90PPCh. 17 - Prob. 91PPCh. 17 - Referring to Example 17-17 (a) Find the final...Ch. 17 - Referring to Example 17-17 (a) Find the final...
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