For the elementary reaction:

$A+B3C$

$1\mathrm{.}1$ If the reaction is elementary and irreversible, what is the rate of reaction?

$1\mathrm{.}2$ What is delta $()$ for the reaction?

$1\mathrm{.}3\mathrm{.}1$ The above reaction will be done in a batch reactor. Draw up a stoichiometric table for the batch reactor. Make provision for the presence of an inert component in the reactor.

$1\mathrm{.}3\mathrm{.}2$ The batch reaction will be done under isothermal conditions at constant volume. Write an expression that describes how pressure varies with conversion.

$1\mathrm{.}3\mathrm{.}3$ The final conversion is $80\%,$ the initial number of moles of $A$ is $0\mathrm{.}25$mol and I is $0\mathrm{.}50$ mol, there is no $C$ present and, A and $B$ are present in a $1$:$1$ ratio.

i$)$ Calculate the percentage increase $($decrease$)$ in the final pressure relative to the initial pressure.

ii$)$ The volume of the batch reactor is $5L$ and the rate constant is $0\mathrm{.}023L*mo{l}^{-1}*S^{-1}.$ The reaction will be done in a gas phase, isothermal batch reactor. For a conversion of $80\%,$ how much time is required?

$1\mathrm{.}4\mathrm{.}1$ The reaction will be done in a gas phase, isothermal plug flow reactor. Derive an expression for the volume of the reactor. The molar ratios of the feed components $(A,B$ and I $)$ and temperature will be kept the same as for the batch reactor in Q$1\mathrm{.}3\mathrm{.}3.$ Take the pressure in the reactor as constant.

$1\mathrm{.}4\mathrm{.}2$ The flowrate to the PFR is $20\frac{L}{s}$ and the required conversion is $80\%.$ Explain how you would find the reactor volume.

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