Benzene vapour is being condensed at 340 K on the outside of pipes of a 1-1 shell-and- tube heat exchanger. Inside of pipes water flows at 0.7 m/s; its inlet temperature being 280 K. The inner and outer diameters of the pipes are 16 mm and 20 mm, respectively. If the heat transfer coefficients of the vapour and water sides are 1480 and 3150 W/mK, respectively, and it is required to condense 0.030 kg/s of vapour on each of the pipes, a) how long should the pipes be, b) what will be the outlet temperature of water? c) calculate the number of pipes if it is desired to heat 27,000 kg/h of water from 280K to the outlet temperature calculated in (b). d)calculate the total heat transfer through the heat exchanger. The latent heat of condensation is 300 kJ/kg. Neglect any resistance to heat transfer in the pipe walls. You can take C: 4.18 kJ/kg K; p.: 1000 kg/m.