A weather balloon is filled with 355 ft3 of helium at sea level where it has a temperature of 25°C. It carries weather equipment to a height of 10 000 m where the temperature is 4.00°C and the pressure is 21.0% of atmospheric pressure at sea level. The balloon is flexible and can expand freely. What is the volume (in ft) of the balloon at the higher altitude?

A weather balloon is filled with 355 ft3 of helium at sea level where it has a temperature of 25°C. It carries weather equipment to a height of 10 000 m where the temperature is 4.00°C and the pressure is 21.0% of atmospheric pressure at sea level. The balloon is flexible and can expand freely. What is the volume (in ft) of the balloon at the higher altitude?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter2: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 55P: (a) Given that air is 21% oxygen, find the minimum atmospheric pressure that gives a relatively safe...

See similar textbooks

Similar questions

How 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.
(a) Given that air is 21% oxygen, find the minimum atmospheric pressure that gives a relatively safe partial pressure of oxygen of 0.16 atm. (b) What is the minimum pressure that gives a partial pressure of oxygen above the quickly fatal level of 0.06 atm? (c) The air pressure at the summit of Mount Everest (8848 m) is 0.334 atm. Why have a few people climbed it without oxygen, while some who have tried, even though they had trained at high elevation, had to tum back?
An airtight dispenser for drinking water is 25 cm × 10 cm in horizontal dimensions and 20 cm tall. It has a tap of negligible volume that opens at the level of the bottom of the dispenser. Initially, it contains Water to a level 3.0 cm from the top and air at the ambient pressure, 1.00 atm, from there to the top. When the tap is opened, water will flow out until the gauge pressure at the bottom of dispenser, and thus at the opening of the tap, is 0. What volume of water flows out? Assume the temperature is constant, the dispenser is perfectly rigid, and the water has a constant density of 1000 kg/m3.
A helium filled weather balloon has a 1m radius at liftoff where air pressure is 3 atm and the temperature is 293K. When airborne, the temperature is 194K, and its radius expands to 4 m. What is the pressure at the airborne location ?
Problem 7: Suppose a table tennis ball has a diameter of 3.95 cm. Calculate the depth, in kilometers, to which Avogadro’s number of table tennis balls would cover the Earth. Assume the space between balls adds an extra 25.0% to their volume and assume they are not crushed by their own weight. The radius of Earth is 6.376 × 106 m.
At 28 m below the surface of the sea (density of 1476 kg/m³), where the temperature is 6°C, a diver exhales an air bubble having a volume of 0.5 cm³. If the surface temperature of the sea is 22 C, what is the volume of the bubble immediately 3 before it breaks the surface? The acceleration .2 of gravity is 9.8 m/s² and the atmospheric pressure is 1.02 × 10° Pa. 3 Answer in units of cm°.
Problem 13: A bicycle tire has a pressure of 6.8 × 105 Pa at a temperature of 15°C and contains 2.00 L of gas. What will its pressure be, in pascals, if you let out an amount of air that has a volume of 115 cm3 at atmospheric pressure and at the temperature of the tire? Assume tire temperature and volume remain constant.
A weather balloon contains an ideal gas and has a volumeof 2.5 m3at launch, with a pressure of 101 kPa. As it rises slowlythrough the atmosphere, the gas temperature remains constant at273 K. (a) High in the atmosphere the pressure drops to 19.3 kPa.What is the volume of the balloon at that point?
A vacuum pump is used to drain the flooded mine shaft of 20 degrees Celcius water. The pump pressure of water at this temperature is 2.34 Kpa. The pump is incapable of lifting the water higher than 10.16 m. What is the atmospheric pressure?
A closed container of volume V = 12 liters holds a mass m, = 0.858 kg of oxygen. It is known that the mass of a liter of oxygen at atmospheric pressure is mą = 0.0015 kg at the same temperature. What is the pressure in the con- tainer?
A bag of potato chips contains 2.00 L of air when it is sealed at sea level at a pressure of 1.00 atm and a temperature of 20.0°C. What will be the volume of the air in the bag if you take it with you, still sealed, to the mountains where the temperature is 7.00°C and atmospheric pressure is 70.0 kPa? Assume that the bag behaves like a balloon and that the air in the bag is in thermal equilibrium with the outside air. (1 atm = 1.01 × 105 Pa)
A bag of potato chips contains 2.00 L of air when it is sealed at sea level at a pressure of 1.00 atm and a temperature of 20.0°C. What will be the volume of the air in the bag if you take it with you, still sealed, to the mountains where the temperature is 7.00°C and atmospheric pressure is 70.0 kPa? Assume that the bag behaves like a balloon and that the air in the bag is in thermal equilibrium with the outside air. (1 atm = 1.01 × 105 Pa) a. 4.13 L b. 1.01 L c. 1.38 L d. 2.76 L