An airplane is 6km above the ground when a 100kg object is dropped from it. If there were no such thing as air resistance, what would the vertical velocity and kinetic energy of the dropped object be when it hits the ground? Question.3 A gas is confined in a 0.47m diameter cylinder by a piston, on which rests a weight. The mass of the piston and weight together is 150kg. The local acceleration of gravity is 9.813m/s2, and atmospheric pressure is 101.57kPa. a) What is the force in newtons exerted on the gas by the atmosphere, the piston, and the weight, assuming no friction between the piston and cylinder? b) What is the pressure of the gas in kPa ? c) If the gas in the cylinder is heated, it expands, pushing the piston and weight upward. If the piston and weight are raised 0.83m, what is the work done by the gas in kJ ? What is the change in potential energy of the piston and weight? Question 4 From the expanded first law of thermodynamics equation (i.e., also known as the general energy balance equation), derive simplified equations applicable to the following common chemical process equipment: a) Piston/cylinder engine b) Gate valve c) Nozzle d) Pump, turbine, or compressor e) Heat exchanger (single stream) f) Heat exchanger (counterflow) NB: Valves, nozzles, as well as expansions and compression devices are often operating adiabatically, unless otherwise specified. Compiled by: Dr MM Mabuza Copyrighter2023