Question

A mixture of isomeric Diphenyl and Dichloro Tetrachloroethane is used as a
Thermic fluid in a liquid phase heating system. The thermic fluid enters an
indirect fired heater at a temperature of 450 K and leaves the heater at a temperature of 550 K. Calculate the supply of heat to the heater per kg of the liquid heated. The heat capacity of the fluid is given by the equation: CP = 1.435 + 2.19 × 10–3T, kJ/(kg  K)

Answer 1

Answer on Question #59667-Engineering-Chemical Engineering

A mixture of isomeric Diphenyl and Dichloro Tetrachloroethane is used as a Thermic fluid in a liquid phase heating system. The thermic fluid enters an indirect fired heater at a temperature of $450\mathrm{K}$ and leaves the heater at a temperature of $550\mathrm{K}$. Calculate the supply of heat to the heater per kg of the liquid heated. The heat capacity of the fluid is given by the equation:

$$C _ {P} = 1.435 + 2.19 \cdot 10^{-3} T _ {1} \frac {kJ}{kg\ K}$$

Solution

$$Q = m \int_ {T _ {1}} ^ {T _ {2}} C d T = m \int_ {T _ {1}} ^ {T _ {2}} (1.435 + 2.19 \cdot 10^{-3} T) d T = m \left[ 1.435 (T _ {2} - T _ {1}) + \frac {2.19 \cdot 10^{-3}}{2} (T _ {2} ^ {2} - T _ {1} ^ {2}) \right].$$

Where $m = 1\ kg, T_{1} = 450\ K, T_{2} = 550\ K.$

$$Q = 1 \left[ 1.435 (550 - 450) + \frac {2.19 \cdot 10^{-3}}{2} (550 ^ {2} - 450 ^ {2}) \right] = 253 \frac {kJ}{kg}.$$

https://www.AssignmentExpert.com