soccer ball has an interior volume of 150 cm3 at a pressure of 3.00 atmospheres and a temperature of 23.0° C. It develops a leak so that the pressure drops to 2.75 atm. The temperature remains constant What fraction of the number of moles must have escaped from the ball?

Two small containers, each with a volume of 125 cm3 contain helium gas at 17 ⁰F and 1.00 atm pressure. The two containers are joined by a small open tube of negligible volume allowing gas to flow from one container to the other. What common pressure will exist in the two containers if the temperature of one container is raised to 120 °F while the other container is kept at 17 °F?

Air is pumped into a bicycle tire. The 42 moles of air initially in the tire have a gauge pressure of 4 atm. How many moles of air must be pumped into the tire in order to raise the gauge pressure to 8 atm? Assume that the volume and temperature of the air inside the tire are approximately constant.

A 4.5-cm-diameter, 0.50-mm-thick spherical plastic shell holds carbon dioxide at 2.0 atm pressure and 25°C. CO2 molecules diffuse out of the shell into the surrounding air, where the carbon dioxide concentration is essentially zero. The diffusion coefficient of carbon dioxide in the plastic is 2.5 × 10-¹² m²/s.

A) A rigid tank contains 1.60 moles of helium, which can be treated as an ideal gas, at a pressure of 28.0 atm. While the tank and gas maintain a constant volume and temperature, a number of moles are removed from the tank, reducing the pressure to 5.00 atm. How many moles are removed? B) What If? In a separate experiment beginning from the same initial conditions, including a temperature Ti of 25.0°C, half the number of moles found in part (a) are withdrawn while the temperature is allowed to vary and the pressure undergoes the same change from 28.0 atm to 5.00 atm. What is the final temperature (in °C) of the gas?

A welder using a tank of volume 7.60×10−2 m3m3 fills it with oxygen (with a molar mass of 32.0 g/molg/mol) at a gauge pressure of 2.95×105 PaPa and temperature of 36.0 ∘C∘C. The tank has a small leak, and in time some of the oxygen leaks out. On a day when the temperature is 22.9 ∘C∘C, the gauge pressure of the oxygen in the tank is 1.60×105 PaPa. Find the initial mass of oxygen. Express your answer in kilograms.   Find the mass of oxygen that has leaked out. Express your answer in kilograms.