An automobile radiator may be viewed as a cross-flow heat exchanger with both fluids unmixed. water, which has a flow rate of 0.05 kg/s, enters the radiator at 400 k and is to leave at 330 k. the water is cooled by air that enters at 0.75 kg/s and 300 k. (a) if the overall heat transfer coefficient is 200 w/ m2 k, what is the require heat?

As part of an industrial process, air as an ideal gas at 10 bar, 400k expands at steady state through a valve to a pressure of 4 bar. the mass flow rate of air is 0.5 kg/s. the air then passes through a heat exchanger where it is cooled to a temperature of 295k with negligible change in pressure. the valve can be modeled as a throttling process, and kinetic and potential energy effects can be neglected. (a) for a control volume enclosing the valve and heat exchanger and enough of the local surroundings that the heat transfer occurs at the ambient temperature of 295 k, determine the rate of entropy production, in kw/k. (b) if the expansion valve were replaced by an adiabatic turbine operating isentropically, what would be the entropy production? compare the results of parts (a) and (b) and discuss.