Two moles of an ideal gas are placed in a container whose volume is 6.8 x 10-3 m3. The absolute pressure of the gas is 6.6 x 105 Pa. What is the average translational kinetic energy of a molecule of the gas?

A basketball is pressurized to a gauge pressure of PG = 55 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. Calculate the absolute pressure inside the basketball in kPa when it is at the surface.  Write an equation for the pressure difference ΔP between the inside and outside of the ball when it is submerged a distance y below the surface of the water.  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.

A gas is confined in a cylinder with a diameter of 0.47 m by a piston, on which a counterweight rests. Together, the piston and the counterweight have a mass of 150 kg. The local gravitational acceleration is 9.813 m/s^2, and the atmospheric pressure is 101.57 kPa. a. What is the force in newtons exerted on the gas by the atmosphere, piston, and counterweight, assuming there is no friction between the piston and the cylinder? Answer: F = 1.91 x 10^4 N. b. What is the gas pressure in kPa? Answer: Pabs = 110.054 kPa. c. If the gas in the cylinder is heated, it expands, pushing the piston and counterweight upward. If the piston and counterweight are lifted by 0.83 m, what is the work done by the gas in kJ? What is the change in potential energy of the piston and counterweight? Answer: w = 15.848 kJ, and ΔEp = 1.222 kJ.

If 2.00 mol of nitrogen gas (N2) are placed in a cubic box, 34.0 cm on each side, at 2.50 atm of pressure, what is the rms speed of the nitrogen molecules? 730.13 * m/s