Question

Consider a gaseous feed, CA0=100, CB0=200, enters a flow reactor at T0=1000 K and ?0= 5 atm. The reaction, ? + ? → 5?, occurs in the reactor. Calculate the XA, XB and CB if the exit
stream leaves at T=400 K and ? = 4 atm. (Assume ideal gas behavior).

Answer 1

Solution.

here ca or cb is not given and hence it is imposible to solve it without any assumption .

lets conversion of A is 100%.

This is case of variable volume gas system in flow reactor.

Cao= 100 kmol / m3

Cbo= 200 kmol / m³

inlet temp=To= 1000 K

inlet pressure = πo = 5 atm

outlet temp and Pressure ,T n π= 400 K and 4 atm

lets calculate volume expansion factor for A= €a

= Initial moles 100 of A+200 of B= 300

final moles after 100 conversion=

=500 moles of R+100 moles of B.=600

€a = (final moles - initial moles)/(initial moles)

€a=600-300/300=1

Or u can use following formula if ca is given

Xa =( 1-ca/cao*(πo*T/π*To))/(1+€a*ca/cao)}*(πo*T/π*To)}

Also

Xa*€a= Xb*€b .......from this u can calculate Xb.

where €b is volume expansion factor for B.

once Xb calculate u can find Cb by formula given below

cb = cbo(1-xb)/(1+€b*xb)*(πTo/(πo*T)

Here outlet conc of A or B is not given so ,

it is possible by above-mentioned formula if sufficient data is given.

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