Consider a gas inside a cylinder, which is enclosed with a piston that can move

Question

Consider a gas inside a cylinder, which is enclosed with a piston that can move up or down freely, as shown below, g = 9.81 m/s2. The gas is heated with a set of burners (not shown in the figure) at a rate of 4.167 W. An electric heater running at 11 volts and 0.1 amp also heats the gas. The paddle wheel stirs the gas at a rate of 3.945 W. Determine the total pressure exerted on the gas by the piston and the atmosphere in kPa. Is the process isobaric, isothermal, isochoric, polytropic or none of them? Find the electric power in W. Find the heat transfer, electric energy and paddle wheel energy in kJ over a period of one hour. Find the volumetric displacement of the piston in m3 over that time interval if there is no change in the internal energy of the gas.

Explanation / Answer

P = 101.325 kPa + 45*9.8/0.1 Pa = 105.735 kPa isobaric P = VI = 11*0.1 =1.1 W Heat transfer = 4.167*3600/1000 kJ= 15 kJ electric energy = 1.1*3600/1000 = 3.96 kJ paddle wheel = 3.945*3600/1000 = 14.202kJ W= Q W = P(delta)V = (15+3.96+14.202 )10^3 105.735(delta)V = 33.162 (delta)V = 0.313 m^3

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