Process engineering mass balance in the douglas aproach

[latkan]

Hey guys i was hoping for some help with the mass balance of the equations for the production of styrene from ethylbenzene. I have attached my problem sheet and my answer sheet, q 7 is what i am stuck on please help me i am confused

 

[Tom Creswell]

Mole proportions of each species are
EB= 0.98 - x-y-z
Styrene= x
H2= x-z
Bz = y+0.02, ethylene= y
Tol and methane= z
-----------------
Specify x= 0.3, 0.4, 0.5, 0.6
Then Figure out y, z as a function of x (two formulas)
Prorate all the moles above to get the right amount of product.
Do economics on the products and fuel requirements, to see where you are.

 

[oswaler]

I understand the importance of process engineering mass balance in the Douglas approach for the production of styrene from ethylbenzene. Mass balance is a fundamental principle in chemical engineering, which states that the total mass entering a system must equal the total mass exiting the system, plus any accumulation within the system. This principle is crucial in ensuring the efficiency and accuracy of any chemical process.

In the problem sheet provided, question 7 involves calculating the mass balance for the production of styrene from ethylbenzene. This process involves two main reactions: the dehydrogenation of ethylbenzene to produce styrene and the combustion of ethylbenzene to produce heat. The mass balance equation for this process can be written as:

Mass of ethylbenzene in = Mass of styrene out + Mass of heat out + Accumulation of mass within the system

To solve this problem, you need to carefully consider the inputs and outputs of the system, as well as any accumulation of mass within the system. This can be achieved by setting up a mass balance table and carefully tracking the flow of ethylbenzene, styrene, and heat throughout the process. Additionally, it is important to account for any by-products or losses during the reaction.

In conclusion, the mass balance equation in the Douglas approach provides a systematic and quantitative way to analyze and optimize the production of styrene from ethylbenzene. It is a crucial tool for process engineers to ensure the efficiency and accuracy of chemical processes. I hope this response has provided some clarification and guidance for your problem.