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The gas phase reaction 2A ⇋ B is carried out in an isothermal plug flow reactor. The feed consists of 80 mole % A and 20 mole % inerts. If the conversion of A at the reactor exit is 50%, then $$\frac{{{{\text{C}}_{\text{A}}}}}{{{{\text{C}}_{{{\text{A}}_{\text{0}}}}}}}$$ at the outlet of the reactor is
A
$$\frac{2}{3}$$
B
$$\frac{5}{8}$$
C
$$\frac{1}{3}$$
D
$$\frac{3}{8}$$
Correct Answer:
$$\frac{5}{8}$$
The fresh feed to an ammonia synthesis reactor contains nitrogen, hydrogen and 2.0 mole per cent inerts. The molar ratio of H2:N2 is 3:1. The product stream consists of pure ammonia. Since conversion in the reactor is only 15%, a recycle stream is used and in order to avoid build-up of inerts, a purge stream is withdrawn. The rate of purge stream is adjusted to keep inert concentration in the recycle stream at 8 mole per cent. For a fresh feed rate of 100 moles/hr. Note that recycle stream contains only nitrogen, hydrogen and inerts. The N2:H2 ratio of 1:3 is maintained in every process stream, and calculate the number of moles, moles of inerts and moles of hydrogen in the recycle stream?
A
437 moles/hr, 35 moles/hr, 301.5 moles/hr
B
237 moles/hr, 30 moles/hr, 200 moles/hr
C
567 moles/hr, 35 moles/hr, 205 moles/hr
D
347 moles/hr, 30 moles/hr, 500 moles/hr
The fresh feed to an ammonia synthesis reactor contains nitrogen, hydrogen and 2.0 mole per cent inerts. The molar ratio of H2:N2 is 3:1. The product stream consists of pure ammonia. Since conversion in the reactor is only 15%, a recycle stream is used and in order to avoid build-up of inerts, a purge stream is withdrawn. The rate of purge stream is adjusted to keep inert concentration in the recycle stream at 8 mole per cent. For a fresh feed rate of 100 moles/hr. Note that recycle stream contains only nitrogen, hydrogen and inerts. The N2:H2 ratio of 1:3 is maintained in every process stream, and calculate the moles of nitrogen entering the reactor and in the recycle stream?
A
125 moles/hr, 100.50 moles
B
135 moles/hr, 50 moles
C
125 moles/hr, 50 moles
D
185 moles/hr, 100.50 moles
The fresh feed to an ammonia synthesis reactor contains nitrogen, hydrogen and 2.0 mole per cent inerts. The molar ratio of H2:N2 is 3:1. The product stream consists of pure ammonia. Since conversion in the reactor is only 15%, a recycle stream is used and in order to avoid build-up of inerts, a purge stream is withdrawn. The rate of purge stream is adjusted to keep inert concentration in the recycle stream at 8 mole per cent. For a fresh feed rate of 100 moles/hr. Note that recycle stream contains only nitrogen, hydrogen and inerts. The N2:H2 ratio of 1:3 is maintained in every process stream. Calculate the moles of ammonia produced.
A
38.90 moles/hr
B
28.90 moles/hr
C
37.50 moles/hr
D
27.50 moles/hr
An irreversible aqueous phase reaction, A + B → P, is carried out in an adiabatic mixed flow reactor. A feed containing 4 kmole/m
3
of each A and B enters the reactor at 8 m
3
/hr. If the temperature of the exit stream is never to exceed 390 K, what is the maximum inlet feed temperature allowed?
(Data: Heat of reaction = -50 kJ/mole, Density of the reacting mixture = 1000 kg/m
3
, Specific heat of reacting mixture = 2 kJ/kg.K)
The above data can be assumed to be independent of temperature and composition.
A
190
B
290
C
390
D
490
The reaction between ethylene and hydrogen bromide to form ethyl bromide is carried out in a continuous reactor. C2H4 + HBr = C2H5Br The product stream is analyzed and found to contain 51.7 mole% C2H5Br and 17.3% HBr. The feed to the reactor contains only ethylene and hydrogen bromide. Calculate the fractional conversion of the limiting reactant and the percentage by which the other reactant is in excess. If the molar flow rate of the feed stream is 165 mol/s, what is the extent of reaction?
A
56.2 mol/s
B
45.6 mol/s
C
55.6 mol/s
D
44.6 mol/s
The reaction A → B is conducted in an adiabatic plug flow reactor (PFR). Pure A at a concentration of 2 kmol/m
3
is fed to the reactor at the rate of 0.01 m
3
/s and at a temperature of 500 K. If the exit conversion is 20%, then the exit temperature (in k) is (Data: Heat of reaction at 298 K = -50000 kJ/kmole of A reacted Heat capacities C
PA
= C
PB
= 100 kJ/kmole. K (may be assumed to be independent of temperature))
A
400
B
500
C
600
D
1000
With increase in the order of reaction (for all positive reaction orders), the ratio of the volume of mixed reactor to the volume of plug flow reactor (for identical feed composition, flow rate and conversion)
A
Increases
B
Decreases
C
Remains same
D
Increases linearly
Two outlets of a motor manufacturing company reported that revenue from outlet x in 2013 was down 11 percent from 2012. and revenue from outlet Y in 2013 were up 7 percent from 2012. If total revenue from outlet X & Y in 2013 was up 1 percent from 2012, what is the ratio of revenue from outlet X in 2012 revenue from outlet Y in 2012?
A
1 : 2
B
4: 5
C
1 : 1
D
3: 2
An isothermal aqueous phase reversible reaction, P ⇋ R, is to be carried out in a mixed flow reactor. The reaction rate in k.mole/m
3
.h is given by, r = 0.5C
P
- 0.125C
R
. A stream containing only P enters the
A
0.80
B
1.33
C
1.60
D
2.67
For the gaseous reaction 2A → B, where the feed consists of 50 mole % A and 50 mole % inerts, the expansion factor is
A
1
B
-0.5
C
-0.25
D
0