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Boyle's Law
1. Under what pressure must a gas be compressed in order to fit into a 4.00 ft.3 tank if it occupies 300.0 ft.3 standard pressure?
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- 5. Agas is confined in a 1.25 ft diameter cylinder by a piston, which rests a weight. The mass of the piston and weight together is 250 Ibm. The local acceleration of gravity is 32.169 ft/s', and atmospheric pressure is 30.12 in Hg. a. What is the force in Ibf exerted on the gas by the atmosphere, the piston and the weight, assuming no friction between the piston and cylinder? b. What is the pressure of the gas in psia? c. If the gas in the cylinder is heated, it expands pushing the piston and weight upward. If the piston and weight are raised 1.7 ft, what is the work done by the gas in ft - Ibf? What is the change in potential energy of the piston and weight?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) kPaA cylinder is filled with10.0Lof gas and a piston is put into it. The initial pressure of the gas is measured to be 268.kPa.The piston is now pushed down, compressing the gas, until the gas has a final volume of 8.70L. Calculate the final pressure of the gas. Round your answer to 3 significant digits.
- Q: Atmospheric pressure on the peak of Kilimanjaro can be as low as 0.20 atm. If the volume of an oxygen tank is 10.0L, at what pressure must the tank be filled so the gas inside would occupy a volume of 1.2 x 103L at this pressure?The density of a gas is 0.417 kg/m^3. What is the specific volume of the gas?V2 = 2.51 x 10-3 M3 + 2.5L 3. Ahelium balloon has a volume of 2L at 101kPa. As the balloon rises the pressure drops to 97kPa. What is the new volume? 4. A volume of helium is at a pressure of 98 kPa. The new volume is 24 L after the pressure drops to 86.2 kPa. What was the starting volume? MacBook Air
- A container with volume 1.63 L is initially evacuated. Then it is filled with 0.226 g of N2. Assume that the pressure of the gas is low enough for the gas to obey the ideal-gas law to a high degree of accuracy.If the root-mean-square speed of the gas molecules is 192 m/s , what is the pressure of the gas? Express the answer in pascals.The temperature of an ideal gas remains constant while the pressure changes from 103.425 Kpaa to 1034.25 Kpaa. (a) If the initial volume is 0.08 cubic meters, determine the final volume. (b) For 0.77 Kgm of this gas, determine the change in density as a percentage of the initial density.An air bubble originating from an under waterdiver has a radius of 5 mm at some depth h.When the bubble reaches the surface of thewater, it has a radius of 6.3 mm.Assuming the temperature of the air in thebubble remains constant, determine the absolute pressure at this depth h. The accelerationof gravity is 9.8 m/s2.Answer in units of Pa. b. Determine the depth of the diver.Answer in units of m.
- Calculate the R.M.S. speed of oxygen molecules at 227°C. (Density of oxygen at N.T.P. 1.429 kg/m3 and one atmosphere 1.013 x 105 N/m²).Macroscopic Description of an Ideal Gas. An auditorium dimension 10 m x 20 m x 30 m. How many molecules of air fill the auditorium at 20.00and a pressure of 101 kPa?A basketball is pressurized to a gauge pressure of PG = 75 kPa when at the surface of a swimming pool. (Patm = 101 kPa). The ball is then submerged in the pool of water which has a density ρ = 1000 kg/m3. Assume the ball does not change in mass, temperature, or volume as it is submerged. a) Calculate the absolute pressure inside the basketball in kPa when it is at the surface. b) Solve the pressure equation for the depth (in meters) at which the pressure difference between the inside and outside of the ball will become zero. At this depth the pressure inside the basketball is the same as the pressure outside the ball. c) At what depth, in meters, would the pressure difference between the inside and outside of the ball be zero if the ball were submerged in mercury (ρ = 13,500 kg/m3) instead of in water?