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Lumped Parameter Model, Conservation of Mass, ReactionGroup 6:Sinta Nuclea2315105015Prayogo Kuntoro 2315105004Sekar Bias 2315105010Martha Riana S2315105006Siti Ichuwa N.M2315105002Diano Wiradiestia2315105030

ConditionA Container is maintained at a constant temperature of 800F and is fed a pure gas A at a steady state rate of 1 lbmole/min. The gas product gas stream is withdrawn from the container at the rate necessary to keep the total pressure constant at a value of 3 atm. The container contents are vigorously agitated, and the gas mixture is always well mixed. The following irreversible second order gas phase reaction ocurs in the container:2ABAt a temperature of 800F, the reaction rate constant for the reaction has the numerical value of 1000ft/(lbmole.min). Both A and B are perfect gases. Because of their low temperature, no reaction occurs in the lines to and from the vessel.QuestionIf under steady state condition, the product stream is to contain 33 1/3 mole%B, how large (in cubic feet) should be the volume of the reaction container?

After the steady state has been attained, the valve on the exit pipe of isothermal vessel is abruptly closed. The feed rate is controlled so that the total tank pressure is maintained at 3 atm. If the mixing is still perfect, how many minutes will it take (after the instant of closing the valve) for the tank content to be 90 mole%B.P = 3 atmT = 800FYA , YBnA , nBA)

FAo= 1lbmol/minV=?Condition :1. Steady State2. Constant pressureIrreversible second order gas phase reaction4. The product contain 33 1/3 mole % BPure Gas AMass Balance (First Condition A)Accumulation = input output + Generation - ConsumptionMass Balance (First Condition B)Accumulation = input output + Generation - ConsumptionP = 3 atmT = 800FYA , YBnA , nBB)

FAot=?YA = 0,1 YB = 0,9Condition :1. Unsteady State2. Valve is closed3. Total tank pressure is constant

Pure Gas AMass Balance (Second Condition A)Accumulation = input output + Generation - ConsumptionMass Balance (Second Condition B)Accumulation = input output + Generation - Consumption Equation (1)

Note that:Equation (1) :

Equation (1) becomes :

PAV = nARTIdeal gas law:Thanks for your attention