Assignment 2 Solutions 2009

Therefore the energy d t balanceresults inthefo

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Unformatted text preview: energy into the tank is: rF1 H 1 + DH Where, DH is the heat supplied by 40 psi steam per unit vo lume. The output of total energy fro m the tank is: rF2 H 2 . The energy balance may be wr itten as: d (r C p (T - T )) V 2 ref dt = rF1 C p (T - T ) - rF2 C p (T - T ) + DH 1 ref 2 ref Subst ituting for rV = rAh , we get d (rAhC p (T - T )) 2 ref dt = rF1 C p (T - T ) - rF2 C p (T - T ) + DH 1 ref 2 ref Assuming Tref = 0, we will have: A d (hT ) DH 2 = F1 T - F2T + 2 1 dt rC p Using the product rule: d (hT ) dT dh 2 A = Ah 2 + AT 2 d t d t d t Subst ituting this into the above equat ion, we get: dT DH dh Ah 2 = F1 T - F2 T + 2 - AT 1 2 dt rC p dt dh From Equation 1, we have the term A in the above equat ion. Therefore, the energy d t balance results in the fo llowing equation: æ dT DH Q ö Ah 2 = F T - F T + - T ç F - F + ÷ 1 1 22 2ç 1 2 d t r p C r÷ è ø Simplifying results in the fo llowing equation: dT DH Q Ah 2 = F1 T - F1 T + - T 1 2 2 dt r p C r Equation 2 4. A liquid­phase isothermal react ion takes place in a cont inuously st irred tank reactor. The react ion is second order and the outlet flo w rate depends linearly o n the liquid vo lu...
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This note was uploaded on 01/12/2014 for the course CHE 4198 taught by Professor Hjortso,m during the Fall '08 term at LSU.

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