Question

Q5. Air at a pressure and volume of 1.65MN/m² and 0.13m³ respectively is held in a vertical cylinder under a piston of mass 57kg. The top of the cylinder is open to the atmosphere which has a pressure of 101.6 kN/m². The piston is suddenly released to move upwards and the air expands in the process. The law of expansion is assumed to be frictionless and follows the law $PV^{1.38} = C$. If the cylinder has an internal diameter of 500mm, determine: (i) The air pressure inside the cylinder after the piston has been lifted through a distance of 0.95m. (ii) The piston velocity at this same distance of lift.

          Q5. Air at a pressure and volume of 1.65MN/m² and 0.13m³ respectively is held in a vertical cylinder under a piston of mass 57kg. The top of the cylinder is open to the atmosphere which has a pressure of 101.6 kN/m². The piston is suddenly released to move upwards and the air expands in the process. The law of expansion is assumed to be frictionless and follows the law $PV^{1.38} = C$. If the cylinder has an internal diameter of 500mm, determine:
(i) The air pressure inside the cylinder after the piston has been lifted through a distance of 0.95m.
(ii) The piston velocity at this same distance of lift.

Q5. Air at a pressure and volume of 1.65MN/m² and 0.13m³ respectively is held in a vertical cylinder under a piston of mass 57kg. The top of the cylinder is open to the atmosphere which has a pressure of 101.6 kN/m². The piston is suddenly released to move upwards and the air expands in the process. The law of expansion is assumed to be frictionless and follows the law PV^1.38 = C. If the cylinder has an internal diameter of 500mm, determine:
(i) The air pressure inside the cylinder after the piston has been lifted through a distance of 0.95m.
(ii) The piston velocity at this same distance of lift.

Added by Jessica W.

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