Question 3: Inside a high-temperature hydrocarbon cracker, an equimolar mixture of three high molecular weight hydrocarbons are being 'cracked,' or broken down into lower molecular weight molecules suitable for use as liquid fuel. Propane (C;Hs), a much shorter hydrocarbon that exists as a gaseous species, is also produced as a byproduct. Gaseous hydrocarbons are separated out from the remaining liquids (all other species) and then burned to provide heat to the hydrocarbon cracker, undergoing incomplete combustion and yielding 12 times more CO2 than CO. Assume that 80% of the high molecular weight hydrocarbons are cracked following the reactions shown below.

Introduction to Chemical Engineering Thermodynamics
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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**Question 3:** Inside a high-temperature hydrocarbon cracker, an equimolar mixture of three high molecular weight hydrocarbons are being ‘cracked,’ or broken down into lower molecular weight molecules suitable for use as liquid fuel. Propane (C₃H₈), a much shorter hydrocarbon that exists as a gaseous species, is also produced as a byproduct. Gaseous hydrocarbons are separated out from the remaining liquids (all other species) and then burned to provide heat to the hydrocarbon cracker, undergoing incomplete combustion and yielding 12 times more CO₂ than CO. Assume that 80% of the high molecular weight hydrocarbons are cracked following the reactions shown below.

\[ \text{C}_{29}\text{H}_{56} \rightarrow \text{C}_3\text{H}_8 + \text{C}_8\text{H}_{18} + \text{C}_{10}\text{H}_{16} + \text{C}_8\text{H}_{14} \]

\[ \text{C}_{27}\text{H}_{62} \rightarrow \text{C}_3\text{H}_8 + 3\text{C}_8\text{H}_{18} \]

\[ \text{C}_{44}\text{H}_{78} \rightarrow 2\text{C}_3\text{H}_8 + 3\text{C}_{10}\text{H}_{16} + \text{C}_8\text{H}_{14} \]

A.) Draw and label a process flow diagram.

B.) Are moles conserved in the hydrocarbon cracker? Explain your answer.

C.) Write all (balanced) chemical reactions that are occurring in the combustion process unit.

D.) The propane is being combusted with 150% excess air. If all the propane is burned, write a ratio of

\[ \frac{\text{Moles O}_2 \text{ leaving combustor}}{\text{Moles C}_{29}\text{H}_{56} \text{ entering cracker}} \]
Transcribed Image Text:**Question 3:** Inside a high-temperature hydrocarbon cracker, an equimolar mixture of three high molecular weight hydrocarbons are being ‘cracked,’ or broken down into lower molecular weight molecules suitable for use as liquid fuel. Propane (C₃H₈), a much shorter hydrocarbon that exists as a gaseous species, is also produced as a byproduct. Gaseous hydrocarbons are separated out from the remaining liquids (all other species) and then burned to provide heat to the hydrocarbon cracker, undergoing incomplete combustion and yielding 12 times more CO₂ than CO. Assume that 80% of the high molecular weight hydrocarbons are cracked following the reactions shown below. \[ \text{C}_{29}\text{H}_{56} \rightarrow \text{C}_3\text{H}_8 + \text{C}_8\text{H}_{18} + \text{C}_{10}\text{H}_{16} + \text{C}_8\text{H}_{14} \] \[ \text{C}_{27}\text{H}_{62} \rightarrow \text{C}_3\text{H}_8 + 3\text{C}_8\text{H}_{18} \] \[ \text{C}_{44}\text{H}_{78} \rightarrow 2\text{C}_3\text{H}_8 + 3\text{C}_{10}\text{H}_{16} + \text{C}_8\text{H}_{14} \] A.) Draw and label a process flow diagram. B.) Are moles conserved in the hydrocarbon cracker? Explain your answer. C.) Write all (balanced) chemical reactions that are occurring in the combustion process unit. D.) The propane is being combusted with 150% excess air. If all the propane is burned, write a ratio of \[ \frac{\text{Moles O}_2 \text{ leaving combustor}}{\text{Moles C}_{29}\text{H}_{56} \text{ entering cracker}} \]
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