A frictionless and leak-free piston moves upand down a cylinder whose diameter andheight are 10 cm and 1 m, respectively (seethe sketch). At equilibrium, the downwardforce on the piston, due to the atmosphericpressure (100 kPa) and the gravitational forceon the mass of the piston, is equal to themagnitude of the upward force on the piston,due to the pressure of gas in the cylinder. Thecylinder is filled with NH3 at 150 kPa and 20 °C, which maintains the piston to its initiallocation of H = 80 cm. Assuming that the ideal gas law is applicable -PirtonNH,(a) Calculate the mass of the piston.(b) Calculate the mass of NH3 in the cylinder. Use, R = 0.4882 kJ/kg.K%3DA metal weight with a mass of 40.03 kg is now placed on the piston,which causes it to move downward in the cylinder.(c) Calculate the pressure in the cylinder and the piston location (H)if the temperature of Ammonia remains constant at 20 ° C.(d) Find the temperature to which the NH3 in the cylinder must beheated in order to move the piston (with the metal weight) backto its initial position (H = 80 cm).%3D

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