The following reaction goes to 80% completion in a CSTR. A and B are fed to the reactor at rates of 2mol/s and 3 mol/s respectively at a temperature of 370C. Specific heats (in J/mol-K) of A, B, C and Dare 200, 150, 220 and 180 respectively.A B C D The reactor is jacketed by water at a temperature of 200C. The overall heat transfer coefficient hasbeen estimated at 300 J/(m2.s.K), while the heat transfer area is 0.75 m2. Mixing is ensured throughan agitator, which contributes a work of 12 kW to the reactor. The heat of reaction is -30 kJ/mole ofA at 300 K. Calculate the steady state temperature in the reactor
Question
The following reaction goes to 80% completion in a CSTR. A and B are fed to the reactor at rates of 2mol/s and 3 mol/s respectively at a temperature of 370C. Specific heats (in J/mol-K) of A, B, C and Dare 200, 150, 220 and 180 respectively.A B C D The reactor is jacketed by water at a temperature of 200C. The overall heat transfer coefficient hasbeen estimated at 300 J/(m2.s.K), while the heat transfer area is 0.75 m2. Mixing is ensured throughan agitator, which contributes a work of 12 kW to the reactor. The heat of reaction is -30 kJ/mole ofA at 300 K. Calculate the steady state temperature in the reactor
Solution
To solve this problem, we need to apply the energy balance equation for a CSTR (Continuous Stirred-Tank Reactor). The general form of the energy balance equation is:
Q + Ws = ΔH + ΔU
where:
- Q is the heat transferred to the system,
- Ws is the shaft work or the work done by the agitator,
- ΔH is the change in enthalpy of the system,
- ΔU is the change in internal energy of the system.
Given that the reaction is exothermic (heat of reaction is negative), the heat will be removed from the reactor. Also, since the reactor is at steady state, the change in internal energy (ΔU) is zero. Therefore, the energy balance equation simplifies to:
Q + Ws = ΔH
The heat transferred to the system (Q) can be calculated using the formula:
Q = UA(Tj - Tr)
where:
- U is the overall heat transfer coefficient,
- A is the heat transfer area,
- Tj is the jacket temperature,
- Tr is the reactor temperature.
The work done by the agitator (Ws) is given as 12 kW.
The change in enthalpy of the system (ΔH) can be calculated using the formula:
ΔH = Σνi*ΔHi
where:
- νi is the stoichiometric coefficient of species i,
- ΔHi is the change in enthalpy of species i.
The change in enthalpy of species i (ΔHi) can be calculated using the formula:
ΔHi = Cp,i*(T - Tref)
where:
- Cp,i is the specific heat capacity of species i,
- T is the temperature,
- Tref is the reference temperature.
By substituting the given values into the above equations, we can solve for the reactor temperature (Tr). However, this will require some numerical calculations which are not possible to perform here.
Similar Questions
describe CSTR and High-rate reactors and differencesbetween them
What is the difference between batch reactor and CSTR?
k Reactor (CSTR)Continuous Stirred Tank Reactor (CSTR)A continuous stirred tank reactor (CSTR) is a type of chemical reactor that is widely used in industrial processes to produce chemicals, pharmaceuticals, and other products. In a CSTR flow reactor, reactants are continuously fed into the reactor vessel, where they are mixed and allowed to react, producing the desired products.The CSTR consists of a large tank or vessel, typically made of stainless steel, which is equipped with a stirring mechanism, such as a mechanical stirrer or an agitator, that keeps the reactants in motion and ensures that they are well-mixed. The reactants are introduced into the tank through inlet ports, and the products are continuously removed through outlet ports.The ke
A liquid-phase reaction 𝐴 → 𝐵 + 𝐶, is carried out in a batch reactor at a temperature of 150 oC. Dissociationof reactant A to products B and C follows non-elementary rate equation which is given by(−𝑟𝐴) = 𝑘1𝐶𝐴21+ 𝑘2𝐶𝐴( 𝑘𝑚𝑜𝑙𝑚3.𝑚𝑖𝑛)The concentration CA is monitored at different time intervals and these values are reported below:Time,t, min. 0 7.5 16 35 60 85 120 170 240 360CA, kmol/m3 2.0 1.9 1.8 1.6 1.4 1.2 1.0 0.8 0.6 0.4Estimate the rate constants k1 and k2
For an exothermic reaction 𝐴 → 𝐵, 90kmol of B are to be produced while achieving90% conversion of A in an isothermal batch reactor operated at 500K. The reaction isstarted with pure A at the concentartion of 10kmol/m3. Determine the volume ofreactor and duration of batch operation.Additional information: CAo =1kmol/m3; 20% conversion is obtained in 20min while50% conversion is obtained in 80min. The reaction is suspected to be either firstorder or second order
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.