For each of the following scenarios write (1) a simplified First Law equation (e

Question

For each of the following scenarios write (1) a simplified First Law equation (energy balance) and (2) a simplified mass conservation (mass balance) equation:

(B) The steady state operation of a work-producing device that loses a portion of its fluid energy through heat transfer to the surroundings with a negligible change in gravitational potential energy and a negligible change in fluid kinetic energy. QL (C) The steady state operation of a heater that also splits its inlet flow into two exit flows. Assume a negligible change in fluid velocity and a negligible change in height across the heater, and that the heater consumes no net work. Q p

Explanation / Answer

B)   First Law equation

Q = U2 - U1 -W

simplified mass conservation

dm/dt = dmin/dt - dmout/dt + dmreaction/dt

C)    First Law equation

Qinlet + Qp = W + Qout1 + Qout2 + heat loss

simplified mass conservation

dm/dt = dmin/dt - dmout1/dt - dmout2/dt + dmreaction/dt

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