A heat exchanger has been designed to cool hot furnace gases before treatment to remove SO2. The exchanger surface contains cylindrical pin fins, one inch long and 0.12 inch in diameter. The pins are fabricated from copper-aluminum alloy which has a melting point of 867K. If the hot gases enter at 978K and the exchanger surface is maintained at 644K, will the pins, of any part thereof, melt? Assume that the exposed ends of the pins are effectively insulated and that the heat transfer coefficient is constant over the cylindrical surface. Hint: If the end of the pins are effectively insulated what does this imply for a value for h at the end of the pins DATA: h=45.44 W/(m2 K), for the fluid k=207.6 W/(m K), for the fins