The battery powers the motor that drives a paddle wheel to stir the gas at unifo

Question

The battery powers the motor that drives a paddle wheel to stir the gas at uniform pressure and temperature. The motor is diathermal and the tank containing the gas is also diathermal. The battery is adiabatic. Choose the gas as the system. Show the system from a thermodynamic point of view and the energy (rate) interactions between the system and the surrounding using proper arrows, and label them dearly, e.g., and . Furthermore, overload the latter with appropriate subscripts to describe electric work, paddle wheel work, etc. The paddle wheel power is 0.88 kW. Determine the rate of heat transfer between the system and the surrounding if there is no change in the rate of internal energy of the gas. Determine the angular speed in rpm if the torque necessary to spin the paddle wheel is 16.807 N.m.

Explanation / Answer

Q in is the energy in..(lable the pipe going in the motor as Q) W in is the energy out (lable the pipe going out of the motor as W) deltaU is the change in internal energy of motor (lable the heat going out into surrounding from motor as deltaU) as walls diathermal and no change in internal energy of system Q entering =Q out =0.88kW hence rate of heat transfer from system to surrounding is 0.88kW ............. to find angular velocity w W *torque =power ie 16.807 W =880 hence w = 52.359 rad/sec =500.25 rpm

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