First,
Plot Ca vs. t (zero order)
Plot ln(Ca) vs. t (firstorder)
Plot 1/Ca vs. t (second order)
For the best fit, choose the STRAIGHT line
The best fit is 1st oder
therefore
-Ra = k*Ca^1
n = 1
units of K must be then 1/s or s^-1
The first order irreversible reaction A -> B is carried out in a CSTR. The rate constant is 0.05 s^-1 and the volumetric flowrate is 0.02 m^3 s^-1. What volume of reactor is required in order to achieve a conversion of 80%? Hint:(Conversation of Ca to molar flowrate/volumetric flowrate)
3. (10 points) Suppose that an nth-order homogeneous ODE with constant coefficients has the following general solution y = Ge-*+ C2 cos x + C3 sin x + Cex cos x + C5xsin x + C + Cyx. What is n? What are the roots of the characteristic equation of this ODE? What is the characteristic equation? What is the ODE?
3. The endothemic irreversible 2nd order reaction A +B C is carried out in a pressurised adiabatic batch reactor. The initial temperature is 120°C and the initial concentrations of both A and B are 2.0 kmol m2 Kinetic studies showed that the reaction rate constant is given by: 6000 k 2 x 105 exp(- m3kmol 1s1 T (8) (a) Derive the mass and energy balances for the reactor. Calculate the conversion achieved and the reactor temperature (b) (12) after 30...
Use Excel/Megastat to create the density probability plot of normal distribution. Take μ = 50and σ = 3.5. Set up the range values of x from 40 to 80. Hint: Use norm.dist function and sketch the curve with tick = 0.1
A 3rd order irreversible reaction takes place in a PFR reactor. The flow entering the PFR has a concentration of A of CA0. The volumetric flow rate is a constant, v0, and the reaction rate constant is kA. Please derive a relation between the concentration of A (CA) with respect to the volume of PFR, V. Draw a diagram of 1/CA2 vs. V. PLOT THERE IS NO TABLE PROVIDED assume numbers
5. The following reaction is a second order irreversible reaction: 2A + 3B2C i. Derive an expression for the rate of change in the concentration of A as a function of reaction time, initial concentrations and a second order rate constant. Solve this differential equation to yield an equation for fractional conversion of A as a function of time The rate constant is 0.02 L mmol min, and the initial concentrations of A, B, and C are 10 mmol/L, 10...
12. Which set of units of A: the rate constant of first-order reactions, B: the rate constant of second-order reactions, and C: the velocity of second-order reactions is CORRECT? a. s? M -1 b. st M's : M's-1 : Ms :M -1 : Ms M's d. M's? 13. The decay of 2M Seaborgium-266 (Sg) takes 60 seconds to become a 4 of its original amount. What is the rate constant of this isotope? a. 0.006 b. 0.012 c. 0.023 d....
A first order irreversible reaction to convert compound X to compound Y in solution is planned to be carried out at 55ºC in three CSTRs placed in series, each of a different volume: the 1st tank is 200 cm^3 , the 2nd is 300 cm^3 and the 3rd is of 500 cm^3 . The 1st order rate constant of this reaction is 0.09 h^-1 . For the total holding time (tau) across all three tanks of 24 hours, what will...
What is the overall order of the reactions if: The rate constant for a particular reaction is 4.56 x 10-3 M-1s-1 The rate constant for a particular reaction is 2.665 x 10-3 M-1s-1 (please answer in detail, I do not know how to find the answers to these types of problems)
5. Find the center of mass of a solid of constant density & located in the upper semi-space (z 2 0) between the spheres S: r + y2 + 22 = 1 and S2: a2+ z2 = 4. Hint. Use spherical coordinates and the symmetry of the solid.
5. Find the center of mass of a solid of constant density & located in the upper semi-space (z 2 0) between the spheres S: r + y2 + 22 = 1...