A process for the production of 1,3-butadiene results from...

A process for the production of 1,3-butadiene results from the catalytic dehydrogenation at atmospheric pressure of 1-butene according to the reaction: $$ \mathrm{C}_4 \mathrm{H}_8(g) \rightarrow \mathrm{C}_4 \mathrm{H}_6(g)+\mathrm{H}_2(g) $$ To suppress side reactions, the 1-butene feed stream is diluted with steam in the ratio of 10 moles of steam per mole of 1-butene. The reaction is carried out isothermally at $798.15 \mathrm{~K}\left(525^{\circ} \mathrm{C}\right)$, and at this temperature $33 \%$ of the 1-butene is converted to $1,3-$ butadiene. How much heat is transferred to the reactor per mole of entering 1-butene?

A process for the production of 1,3-butadiene results from the catalytic dehydrogenation at atmospheric pressure of 1-butene according to the reaction:
$$
\mathrm{C}_4 \mathrm{H}_8(g) \rightarrow \mathrm{C}_4 \mathrm{H}_6(g)+\mathrm{H}_2(g)
$$

To suppress side reactions, the 1-butene feed stream is diluted with steam in the ratio of 10 moles of steam per mole of 1-butene. The reaction is carried out isothermally at $798.15 \mathrm{~K}\left(525^{\circ} \mathrm{C}\right)$, and at this temperature $33 \%$ of the 1-butene is converted to $1,3-$ butadiene. How much heat is transferred to the reactor per mole of entering 1-butene?

Key Concepts

Dilution with Steam

Dilution with steam involves mixing an inert or non-reactive gas (in this case, steam) with reactive feed streams to mitigate side reactions and control the reaction environment. This dilution can affect the overall reaction kinetics and heat transfer characteristics by altering the concentration of reactants and providing a medium that can absorb or release heat.

Heat of Reaction

The heat of reaction, or reaction enthalpy, is the amount of heat absorbed or released during a chemical reaction at constant pressure. It is a central concept in reaction thermodynamics and is used to determine how much energy must be supplied to or removed from a reactor to maintain specified operating conditions, especially in isothermal processes.

Isothermal Process

An isothermal process occurs at a constant temperature, meaning that any heat introduced or removed from the system is balanced by work or other energy exchanges to maintain that temperature. In reactor design and operation, controlling the temperature is crucial because reaction rates and equilibrium positions can be highly sensitive to temperature changes.

Catalytic Dehydrogenation

Catalytic dehydrogenation is a chemical process in which hydrogen atoms are removed from an organic molecule using a catalyst, transforming the substrate into a more unsaturated product. This process is widely used in the petrochemical industry to convert alkenes or alkanes into valuable dienes or aromatics while producing hydrogen gas as a by?product.

Reaction Conversion

Reaction conversion is the measure of the fraction of a reactant that is transformed into products during a chemical reaction. It is expressed as a percentage and is essential for quantifying how much of the starting material reacts, providing vital information for calculating yields and the extent of heat or energy that must be managed in the reactor.

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