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Final Temperature in Heating Applesauce. A mixture of 454 kg of applesauce at 10°C is heated in a heat exchanger by adding 121300 kJ. Calculate the outlet tem perature of the applesauce. (Hint: In Appendix A.4, a heat capacity for applesauce is given at 32.8C. Assume that this is constant and use this as the average com)

Respuesta :

Answer:

[tex]T_f = 76.46°C[/tex]

Explanation:

Given data:

Mass of mixture = 454 kg

Initial temperature is 10°C

Heat added is Q = 121300 kJ

Heat capacity (Applesuace) at 32.8°C is 4.02kJ/kg K

From heat equation we have

[tex]Q = mCp(T_f -T_i)[/tex]

[tex]\frac{Q}{mCp} = (T_f -T_i)[/tex]

[tex]T_f = T_i + \frac{Q}{mCp}[/tex]

Putting all value to get required final temperature value

[tex]T_f = \frac{121300}{454\times 4.02} + 10[/tex]

[tex]T_f = 76.46°C[/tex]

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