To design the heat exchanger, we first need to determine the heat transfer rate Q required to cool the sulfuric acid from 80C to 30C. We can use the formula:Q = m * Cp * Twhere m is the mass flow rate, Cp is the specific heat capacity of sulfuric acid, and T is the temperature difference.Assuming the density of sulfuric acid is approximately 1840 kg/m and its specific heat capacity is 1.3 kJ/ kg*K , we can calculate the mass flow rate:m = 1000 L/h * 1 m/1000 L * 1840 kg/m * 1 h/3600 s = 0.511 kg/sNow, we can calculate the heat transfer rate:T = 80C - 30C = 50 KQ = 0.511 kg/s * 1.3 kJ/ kg*K * 50 K = 33.215 kJ/s = 33.215 kWNext, we need to determine the required heat transfer area A using the formula:Q = U * A * LMTDwhere U is the overall heat transfer coefficient and LMTD is the logarithmic mean temperature difference. Rearranging the formula to solve for A:A = Q / U * LMTD We can calculate LMTD using the formula:LMTD = T1 - T2 / ln T1/T2 where T1 is the temperature difference between the hot and cold fluids at one end of the heat exchanger, and T2 is the temperature difference at the other end. In this case:T1 = 80C - 20C = 60 KT2 = 30C - 20C = 10 KLMTD = 60 K - 10 K / ln 60 K/10 K = 35.13 KNow, we can calculate the required heat transfer area:A = 33.215 kW / 800 W/ m*K * 35.13 K = 1.184 mFor the heat exchanger tubes, we recommend using a material that is resistant to corrosion by sulfuric acid and has good heat transfer properties. One suitable material is Tantalum. Tantalum is highly resistant to corrosion by sulfuric acid, even at high concentrations and temperatures. Additionally, it has good thermal conductivity, ensuring efficient heat transfer in the heat exchanger.