An air rifle shoots a lead pellet by allowing high pressure air to expand, propelling the pellet down the rifle barrel. Because this process happens very quickly, no appreciable thermal conduction occurs and the expansion is essentially adiabatic. Suppose the rifle starts with 12.0 cm 3 of compressed air, which behaves as an ideal gas with γ = 1.40. The expanding air pushes a 1.10-g pellet as a piston with cross-sectional area 0.030 0 cm 2 along the 50.0-cm-long gun barrel. What initial pressure is required to eject the pellet with a muzzle speed of 120 m/s? Ignore the effects of the air in front of the bullet and friction with the inside walls of the barrel.
An air rifle shoots a lead pellet by allowing high pressure air to expand, propelling the pellet down the rifle barrel. Because this process happens very quickly, no appreciable thermal conduction occurs and the expansion is essentially adiabatic. Suppose the rifle starts with 12.0 cm 3 of compressed air, which behaves as an ideal gas with γ = 1.40. The expanding air pushes a 1.10-g pellet as a piston with cross-sectional area 0.030 0 cm 2 along the 50.0-cm-long gun barrel. What initial pressure is required to eject the pellet with a muzzle speed of 120 m/s? Ignore the effects of the air in front of the bullet and friction with the inside walls of the barrel.
Solution Summary: The author explains the initial pressure required to eject the pellet and the expression for the work done by the gas.
An air rifle shoots a lead pellet by allowing high pressure air to expand, propelling the pellet down the rifle barrel. Because this process happens very quickly, no appreciable thermal conduction occurs and the expansion is essentially adiabatic. Suppose the rifle starts with 12.0 cm3 of compressed air, which behaves as an ideal gas with γ = 1.40. The expanding air pushes a 1.10-g pellet as a piston with cross-sectional area 0.030 0 cm2 along the 50.0-cm-long gun barrel. What initial pressure is required to eject the pellet with a muzzle speed of 120 m/s? Ignore the effects of the air in front of the bullet and friction with the inside walls of the barrel.
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