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A1Q3 Solutions - 1 The reaction A B is to be carried out...

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1. The reaction A → B is to be carried out isothermally in a continuous-flow reactor. Calculate both CSTR and PFR reactor volumes necessary to consume 80% of A (Hint: C A = 0.2 C A0 ) when entering molar flow rate is 4 mol/hr and entering volumetric flow rate is 20 dm 3 /hr assuming the reaction rate –r A is kC A with k = 0.0001 s-1. CSTR We know that, Volume of CSTR can be calculated by the equation 1 0 0 0 0 0 0 0.8, 0.2 , 4 / , 0.0001sec 4 0.2 20 A A A A A A A A A F X V where X C C F mol hour k r F mol C v lit - = = = = = - = = = 3 0 4 0.8 222.2 0.0001 3600 0.2 0.2 A A A F X V dm r × = = = - × × × PFR Mole balance for a differential element of volume dV Input = Out put +Disappearance of A due to reaction ( 29 A A A A Input F Output F dF Disappearance of A r dV = = + = -
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( 29 0 0 0 0 0 0 0 0 3 , ln 20 ln 0.2 89.413 3600 0.0001 A A A A A A A A A A A A A A A A A A C V A A C A A F F dF r dV dF r dV where r kC dF dV kC d C v dV F C v kC v dC dV k C v dC dV k C v C V k C V dm = + - - = - - = - = - = = - = - = - = = - = × 2. Repeat Q1 to calculate the time necessary to consume 80% of species A in a 1000 dm3 constant volume batch reactor with C A0 = 0.2 mol/dm 3 . 0 0 0 0 0 0 0 ln 0.2 ln 1.609 16090 4.47 A A A A A A A A A C t A A C C t A A C A A A A dC r kC dt dC kdt C dC kdt C dC kdt C C kt C C kt C k t t Sec hr - = - = - = - = - = - = - = = = =
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3. An isothermal PFR is used for the gas phase reaction A → 2B+C. The feed, flowing at 2.0 L/s, contains 50% mol A and 50% mol inert species. The rate is first order
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