In a constant pressure batch reactor kept at 404oC and 5 atm, the concentration of pure gaseous A drops by 1% in 1 second as it reacts by the elementary reaction A ? 2R. (a) What is the expression for the rate of reaction? [2 marks]
(b) For this batch reactor, re-write the rate of reaction in terms of the mole balance. [3 marks] (c) Determine if the reaction is a fixed or variable volume system. Justify your answer. [5 marks]
(d) Using your answers in parts a and b, show that the rate of reaction can be written in terms of conversion X, as
dXa/dt = k(1-Xa)
where k is the rate constant and t is the time required to obtain conversion X. [6 marks]
(e) What is the conversion obtained in 1 second? [5 marks] (f) What is the rate constant, k, for this reaction? [4 marks]
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