Question

The following reactions are carried out in an isothermal continuous stirred tank reactor. A$\rightarrow$B B$\rightarrow$C $-r_A = k_1C_A$ $k_1 = 1.1$ min$^{-1}$ $-r_B = k_2C_B^2$ $k_2 = 0.1$ m$^3$/kmolmin B is desired product and concentration of B is controlled using PI controller. The feed stream of 1 m$^3$/min containing 0.8 kmol/m$^3$ at steady state operation passes through the reactor having a volume of 2 m$^3$. If the volume of reaction mixture does not change with time. a. Derive the transfer function between inlet concentration of A and outlet concentration of B, and find the ultimate value of outlet concentration of B when inlet concentration is increased to 0.9 kmol/m$^3$. b. The transfer functions of measuring device and control valve are given below. Using Routh Hurwitz criterion, determine the ultimate gain of controller if integral time is 0.1. $G_{ms}(s) = G_v(s) = 1$

          The following reactions are carried out in an isothermal continuous stirred tank reactor.
A$\rightarrow$B
B$\rightarrow$C
$-r_A = k_1C_A$   $k_1 = 1.1$ min$^{-1}$
$-r_B = k_2C_B^2$   $k_2 = 0.1$ m$^3$/kmolmin

B is desired product and concentration of B is controlled using PI controller. The feed stream of 1 m$^3$/min containing 0.8 kmol/m$^3$ at steady state operation passes through the reactor having a volume of 2 m$^3$. If the volume of reaction mixture does not change with time.
a. Derive the transfer function between inlet concentration of A and outlet concentration of B, and find the ultimate value of outlet concentration of B when inlet concentration is increased to 0.9 kmol/m$^3$.
b. The transfer functions of measuring device and control valve are given below. Using Routh Hurwitz criterion, determine the ultimate gain of controller if integral time is 0.1.
$G_{ms}(s) = G_v(s) = 1$
        
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The following reactions are carried out in an isothermal continuous stirred tank reactor.
A→B
B→C
-rA = k1CA   k1 = 1.1 min^-1
-rB = k2CB^2   k2 = 0.1 m^3/kmolmin

B is desired product and concentration of B is controlled using PI controller. The feed stream of 1 m^3/min containing 0.8 kmol/m^3 at steady state operation passes through the reactor having a volume of 2 m^3. If the volume of reaction mixture does not change with time.
a. Derive the transfer function between inlet concentration of A and outlet concentration of B, and find the ultimate value of outlet concentration of B when inlet concentration is increased to 0.9 kmol/m^3.
b. The transfer functions of measuring device and control valve are given below. Using Routh Hurwitz criterion, determine the ultimate gain of controller if integral time is 0.1.
Gms(s) = Gv(s) = 1

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Chemistry: Structure and Properties
Chemistry: Structure and Properties
Nivaldo Tro 2nd Edition
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The following reactions are carried out in an isothermal continuous stirred tank reactor. AB BC rkcHkoimwkmolmin B is the desired product and concentration of B is controlled using a PI controller. The feed stream of 1 m/min containing 0.5 kmol/min of A at steady-state operation passes through the reactor. The reactor has a volume of 1 m^3 and the volume of the reaction mixture does not change with time. a. Derive the transfer function between the inlet concentration of A and the outlet concentration of B, and find the steady-state value of the outlet concentration of B when the inlet concentration is increased to 0.9 kmol/m^3. b. The transfer functions of the measuring device and control valve are given below. Using the Routh-Hurwitz criterion, determine the ultimate gain of the controller if the integral time is 0.1. Gs = 1
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Transcript

-
00:01 Hello, so the question here is about plug flow reactors.
00:08 Okay, so for plug flow reactors, we know the equation is volume by f .a.
00:15 That is the inlet flow is equal to integral 0 to kaia, which is a mold fraction, d kaia divided by minus r a.
00:28 Okay now in the question we are provided with the value of f a node that is the inlet flow as 5 mole per hour okay what we need to calculate here is for the volume okay so we can see the equation that is given in the question as minus r a is equal to k and the value of k is also given as 0 .05 mole per hour so using this we can calculate for r .a.
01:01 So this is equal to 0 .05 mole per r.
01:07 Okay.
01:08 Now we can substitute this into the equation.
01:11 Okay.
01:11 Now in the question it is said that 99 percentage which will give kaia is equal to 0 .99.
01:18 Okay...
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