# Tutorial 3 - 2013

 Due date(s): Selected questions will be in assignment 2 (PDF) Tutorial questions

<rst> <rst-options: 'toc' = False/> <rst-options: 'reset-figures' = False/> Assignment objectives

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• Assignment objectives**: To demonstrate that you understand material on designing a reactor, and know what rate laws and stoichiometric tables are used for.

The rote law for the reaction :math:2\text{A} + \text{B} \longrightarrow \text{C} is :math:-r_A = k_A C_A^2 C_B where :math:k_A = 14\,\text{L}^3\text{.mol}^{-2}\text{.s}^{-1}.

#. Write the write expression for :math:-r_B. #. And for :math:+r_C. #. What is :math:k_B? #. And :math:k_C?

For the elementary liquid-phase reaction, :math:A + B \rightleftharpoons C with :math:C_{A0} = C_{B0} = 2\,\text{mol.L}^{-1} and :math:K_C = 10\,\text{L.mol}^{-1}

#. What is the equilibrium concentrations of all the species? #. Does it matter in which reactor this occurs? Explain your answer. #. What is the equilibrium conversion of A?

Set up a stoichiometric table for the isothermal, isobaric gas-phase pyrolysis of ethane, and express the concentration of each species in the reaction as a function of conversion.

#. Set up the table for a *flow reactor* at 6 atm and 1110K for the reaction: :math:\text{C}_2\text{H}_6 \longrightarrow \text{C}_2\text{H}_4 + \text{H}_2 #. How would your equation for the concentration and reaction rate change if the reaction were to be carried out in a constant-volume batch reactor?

In the previous tutorial you used the following rate data for :math:-r_A measured in units of :math:\left[\dfrac{\text{kmol}}{\text{hr.m}^3}\right], observed at a particular conversion, :math:X:

.. csv-table:: :header: "Reaction rate", "Conversion" :widths: 15, 15

78, 0.0 106, 0.2 120, 0.4 70, 0.6

What is the time required for the reaction to reach a 60% conversion of A in a constant volume batch reactor of :math:2\,\text{m}^2.

.. Batch system; graphical technique to recognize design for time required (graphical manner); compare with Q5? in Tutorial 2.. batch question there?

where :math:V is the CSTR tank volume, in US gallons (these reason for the formula structure will become clear in the 4N4 course).