Question

3.12. The feed stream from problem 1 fills a well-stirred batch polymerization reaction which is ran isothermally in a well-mixed vessel at a temperature of 70°C. The rate of disappearance of the styrene monomer, $C_M$, from any control volume is $2k_pC_{I_i}[1 - exp(-k_at)]C_M$ In this case, 1 M styrene monomer is polymerized in benzene, with the initial initiator concentration $C_{I_i}$ being 0.01 M. The polymerization kinetic rate constants $k_p$ and $k_d$ are $1.87 \times 10^2/Ms$ and $8.45 \times 10^{-6}/s$, respectively. The heat of reaction is -73 kJ/mol, and the cooling water is provided at a temperature of 25°C. If the reactor volume is 1 L, and the heat transfer coefficient has been reported to be 120 W/m²K. (a) Starting with a word equation, derive the model equation for $C_M$. (b) Determine the heat load as a function of time. (c) Determine the expression for the flow rate of the cooling water.

          3.12. The feed stream from problem 1 fills a well-stirred batch polymerization reaction which is ran isothermally in a well-mixed vessel at a temperature of 70°C. The rate of disappearance of the styrene monomer, $C_M$, from any control volume is
\(2k_pC_{I_i}[1 - exp(-k_at)]C_M\)
In this case, 1 M styrene monomer is polymerized in benzene, with the initial initiator concentration $C_{I_i}$ being 0.01 M. The polymerization kinetic rate constants $k_p$ and $k_d$ are $1.87 \times 10^2/Ms$ and $8.45 \times 10^{-6}/s$, respectively. The heat of reaction is -73 kJ/mol, and the cooling water is provided at a temperature of 25°C. If the reactor volume is 1 L, and the heat transfer coefficient has been reported to be 120 W/m²K.
(a) Starting with a word equation, derive the model equation for $C_M$.
(b) Determine the heat load as a function of time.
(c) Determine the expression for the flow rate of the cooling water.

3.12. The feed stream from problem 1 fills a well-stirred batch polymerization reaction which is ran isothermally in a well-mixed vessel at a temperature of 70°C. The rate of disappearance of the styrene monomer, CM, from any control volume is
2kpCIi[1 - exp(-kat)]CM
In this case, 1 M styrene monomer is polymerized in benzene, with the initial initiator concentration CIi being 0.01 M. The polymerization kinetic rate constants kp and kd are 1.87 × 10^2/Ms and 8.45 × 10^-6/s, respectively. The heat of reaction is -73 kJ/mol, and the cooling water is provided at a temperature of 25°C. If the reactor volume is 1 L, and the heat transfer coefficient has been reported to be 120 W/m²K.
(a) Starting with a word equation, derive the model equation for CM.
(b) Determine the heat load as a function of time.
(c) Determine the expression for the flow rate of the cooling water.

Added by Jennifer G.

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