For a mixture of ethane 60 %, acetylene 20%, and benzene 20% total mass of 250 k

Question

For a mixture of ethane 60 %, acetylene 20%, and benzene 20% total mass of 250 kg is loaded

into a reactor obeying the Carnot cycle, we want to know which produces more work when

reacted with 25% fuel, 60% O2, 15% CO2 for 30 cycles. Calculate the amount of each fuel in the

mixture; perform mass balance to obtain the amount of fuel that is actually reacting in the mixture

if the reaction runs with 40% efficiency

Running only ETHANE on an ideal engine, the first process is performed at standard pressure

30 ?C, in the heating and compression process the chambers have a pressure of 35atm and a

temperature of 575?C, calculate the work performed in 30 cycles. Draw the PV diagram for the

engine and label the state variable on their corresponding positions. Like (process 1 -> 2 ect and

describe what kind of process it is).How efficient is this engine?

Explanation / Answer

1) Steady State Process:

1000 kg/hr x 0.50 = 500 kg/hr

Material balance of benzene mixture:
450 kg + q1 = 500 kg
q1 = 50 kg ; Q1 = 50 kg/hr

Material balance of toluene mixture:

475 kg + q2 = 500 kg
q2 = 25 kg ; Q2 = 25 kg/hr

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