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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<sup>3</sup>.h is given by, r = 0.5C<sub>P</sub> - 0.125C<sub>R</sub>. A stream containing only P enters the
A
0.80
B
1.33
C
1.60
D
2.67
Correct Answer:
1.60
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in the reactor is only 15%, a recycle stream is used and in order to avoid build-up of inerts, a purge stream is withdrawn.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in the reactor is only 15%, a recycle stream is used and in order to avoid build-up of inerts, a purge stream is withdrawn.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, 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
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 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
A pollutant P degrades according to first order kinetics. An aqueous stream containing P at 2 kmole/m
3
and volumetric flow rate 1 m
3
/h requires a mixed flow reactor of volume V to bring down the pollutant level to 0.5 kmole/m
3
. The inlet concentration of the pollutant is now doubled and the volumetric flow rate is tripled. If the pollutant level is to be brought down to the same level of 0.5 kmole/m
3
, the volume of the mixed flow reactor should be increased by a factor of
A
7
B
6
C
3
D
$$\frac{7}{3}$$
On a P-V diagram of an ideal gas, suppose a reversible adiabatic line intersects a reversible isothermal line at point A. Then at a point A, the slope of the reversible adiabatic line $${\left( {\frac{{\partial {\text{P}}}}{{\partial {\text{V}}}}} \right)_{\text{S}}}$$ and the slope of the reversible isothermal line $${\left( {\frac{{\partial {\text{P}}}}{{\partial {\text{V}}}}} \right)_{\text{T}}}$$ are related as (where, $${\text{y}} = \frac{{{{\text{C}}_{\text{p}}}}}{{{{\text{C}}_{\text{v}}}}}$$ )
A
$${\left( {\frac{{\partial {\text{P}}}}{{\partial {\text{V}}}}} \right)_{\text{S}}} = {\left( {\frac{{\partial {\text{P}}}}{{\partial {\text{V}}}}} \right)_{\text{T}}}$$
B
$${\left( {\frac{{\partial {\text{P}}}}{{\partial {\text{V}}}}} \right)_{\text{S}}} = {\left^{\text{y}}}$$
C
$${\left( {\frac{{\partial {\text{P}}}}{{\partial {\text{V}}}}} \right)_{\text{S}}} = {\text{y}}{\left( {\frac{{\partial {\text{P}}}}{{\partial {\text{V}}}}} \right)_{\text{T}}}$$
D
$${\left( {\frac{{\partial {\text{P}}}}{{\partial {\text{V}}}}} \right)_{\text{S}}} = \frac{1}{{\text{y}}}{\left( {\frac{{\partial {\text{P}}}}{{\partial {\text{V}}}}} \right)_{\text{T}}}$$
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 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
$$\frac{3}{8}$$
Pick out the wrong statement below:
I. For the same conversion, the holding time required in a batch reactor, is always equal to the space time required in a PFR.
II. Two mixed reactors of unequal size are available for producing a specified product, formed by a homogenous second order reaction. To achieve maximum production rate, the smaller reactor should be placed in series before the larger reactor.
III. Arrehenius equation describing the effect of temperature on rate constant is given by, $${\text{K}} = {\text{A}}.{{\text{e}}^{ - \frac{{{\text{Ea}}}}{{{\text{RT}}}}}}$$
IV. The mechanism for the decomposition of CH
3
CHO into CH
4
and CO in presence of I
2
is:
CH
3
CHO + I
2
→ CH
3
I + HI + CO; slow
CH
3
I + HI → CH
4
+ I
2
; fast
Then the rate of disappearance CH
3
CHO is equal to K.C
CH
3
l
.C
Hl
and acts as a catalyst.
A
I
B
II
C
III
D
IV
An endothermic aqueous phase first order irreversible reaction is carried out in an adiabatic plug flow reactor. The rate of reaction
A
Is maximum at the inlet of the reactor
B
Goes through a maximum along the length of the reactor
C
Goes through a minimum along the length of the reactor
D
Is maximum at the exit of the reactor