- Please Solve All Parts In Detail And Step By Step 1 (62.32 KiB) Viewed 56 times
PLEASE SOLVE ALL PARTS IN DETAIL AND STEP BY STEP.
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answerhappygod
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PLEASE SOLVE ALL PARTS IN DETAIL AND STEP BY STEP.
PLEASE SOLVE ALL PARTS IN DETAIL AND STEP BY STEP.
Consider the following set of reversible reactions taking place in a batch reactor: ABC Assume one mole of A present at the start, and let Na, NB, and Nc denote the number of moles of A, B, and C present at time t, respectively. Then, since the reaction is assumed to occur at constant volume, NA, NB, and Nc are proportional to the concentrations. Let k1 and k2 be the reaction rate constants of the forward and reverse reactions of the first reaction, respectively. Likewise, let k3 and ka apply to the second reaction. Also, recall that the stoichiometry must be obeyed at all times: NA + NB + Nc = 1. a) Develop the model equations based on the material balances on each component to determine the moles of A, B, and C at any time. b) Show that the net rate of disappearance of A can be expressed as d'N dN -+(k, + k + k +k) -+(kk; + k_ką +k,k)N-kyka = 0 dt? dt c) Write two initial conditions for NA needed to solve the above equation (Hint: Make use of the material balances for the second boundary condition). d) Solve the differential equation in part (b).
Consider the following set of reversible reactions taking place in a batch reactor: ABC Assume one mole of A present at the start, and let Na, NB, and Nc denote the number of moles of A, B, and C present at time t, respectively. Then, since the reaction is assumed to occur at constant volume, NA, NB, and Nc are proportional to the concentrations. Let k1 and k2 be the reaction rate constants of the forward and reverse reactions of the first reaction, respectively. Likewise, let k3 and ka apply to the second reaction. Also, recall that the stoichiometry must be obeyed at all times: NA + NB + Nc = 1. a) Develop the model equations based on the material balances on each component to determine the moles of A, B, and C at any time. b) Show that the net rate of disappearance of A can be expressed as d'N dN -+(k, + k + k +k) -+(kk; + k_ką +k,k)N-kyka = 0 dt? dt c) Write two initial conditions for NA needed to solve the above equation (Hint: Make use of the material balances for the second boundary condition). d) Solve the differential equation in part (b).
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