A 0.550 kg metal cylinder is placed inside the top of a plastic tube, the lower end of which is sealed off by an adjustable plunger. The cylinder comes to rest some distance above the plunger. The plastic tube has an inner a radius of 5.54 mm and is frictionless. Neither the plunger nor the metal cylinder allow any air to flow around them. If the plunger is suddenly pushed upwards, increasing the pressure between the plunger and the metal cylinder by a factor of 2.31, what is the initial acceleration a of the metal cylinder? Assume the pressure outside of the tube is 1.00 atm and that the top of the tube is open to the air. m/s? a =

A vertical, frictionless piston-cylinder device contains a gas at 600 kPa absolute. The atmospheric pressure outside is 100 kPa absolute. The piston has a diameter of 50 mm. a) Determine the mass of the piston. b) If the mass of the piston is now halved ---- what would be the gauge pressure of the gas?

A 0.527 kg metal cylinder is placed inside the top of a plastic tube, the lower end of which is sealed off by an adjustable plunger. The cylinder comes to rest some distance above the plunger. The plastic tube has an inner radius of 6.56 mm and is frictionless. Neither the plunger nor the metal cylinder allow any air to flow around them. If the plunger is suddenly pushed upwards, increasing the pressure between the plunger and the metal cylinder by a factor of 1.35, what is the initial acceleration ? of the metal cylinder? Assume the pressure outside of the tube is 1.00 atmand that the top of the tube is open to the air.

A cylinder containing ideal gas is sealed by a piston that is above the gas. The piston is a cylindrical object, with a weight of 22.0 N, which can slide up or down in the cylinder without friction. The inner radius of the cylinder, and the radius of the piston, is 8.00 cm. The top of the piston is exposed to the atmosphere, and the atmospheric pressure is 101.3 kPa. The cylinder has a height of 30.0 cm, and, when the temperature of the gas is 20°C, the bottom of the piston is 11.0 cm above the bottom of the cylinder. (A) Find the number of moles of ideal gas in the cylinder. (B) Heat is added, gradually raising the temperature of the gas to 160°C. Calculate the distance between the bottom of the cylinder and the bottom of the piston when the piston comes to its new equilibrium position.