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The following isothermal autocatalytic reaction: 
\[ A + B \longrightarrow 2B \left( -r_A = 0.1 C_A C_B \, \text{(mol L}^{-1} \text{s}^{-1}) \right) \] is carried out in an ideal continuous stirred tank reactor (CSTR) operating at steady state. Pure A at 1 mol L\(^{-1}\) is fed, and 90% of A is converted in the CSTR. The space time of the CSTR is \(\underline{\hspace{1cm}}\) seconds.
 

  • GATE CH - 2021
  • GATE CH
  • Chemical Reaction Engineering
  • Single and multiple reactions in ideal reactors

A ⇌ B ⇌ C reactions are at equilibrium. Given \(k_1 = 0.1\), \(k_{-1} = 0.2\), \(k_2 = 1\), \(k_{-2} = 10\), \(k_3 = 10\). Determine \(k_{-3}\) (round to 1 decimal). 

  • GATE CH - 2021
  • GATE CH
  • Chemical Reaction Engineering
  • Kinetics of homogeneous reactions

Ethylene adsorbs on the vacant active sites V of a transition metal catalyst according to the following mechanism. 
 

If \(N_T\), \(N_V\) and \(N_{C_2H_4}\) denote the total number of active sites, number of vacant active sites and number of adsorbed C\(_2\)H\(_4\) molecules, respectively, the balance on the total number of active sites is given by: 
 

  • GATE CH - 2021
  • GATE CH
  • Chemical Reaction Engineering
  • Kinetics of heterogeneous catalytic reactions
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  • GATE CH
  • Chemical Reaction Engineering
  • Theories of reaction rates
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