In a counter-flow exchanger water is cooled from 22 °C to 6 °C by brine entering at −2 °C and leaving at 3 °C. U = 500 W/m^{2}·°C and Q̇ = 10 kW. Calculate (a) the LMTD (answer in °C) and (b) the area (answer in m^{2}).