Vitamin solubility is 1 gmol in 100 gmol of wateryou are

Question

Problem 1.
Mixed flow reactors are relatively cheap compared to plug flow reactors.

Assume MFRs cost $23/L to construct vs. $47/L for PFRs.

Your are conducting a reaction with following parameters:
k = 0.17 sec-1
Co = 16.7 mol/L
q = 10 L/s

You would like to have a 95% conversion.

A. Which reactor would be cheaper to construct?

B. if you purchased 4 equal size MFR reactors to accomplish the task, what would be the cost?

C. If you purchased 4 equal size PFR reactors to accomplish the task, what would the cost be?

Problem 2.

MCO has a new vitamin pill which dissolves slowly (ie. shrinks) to release vitamins over an entire day (12 hours). Assuming the dissolution of the vitamins is rate-limiting (ie. ignore diffusion constraints), calculate the required size (radius) of the spherical pill. You may assume that the dissolution reaction is 1st order and that the vitamin solution leaving the pill is saturated.

Data:

kS = 0.01 cm/s (dissolution rate constant)
Cwater = 0.056 gmol/cm3 (water concentration in bulk fluid, assumed constant)
rB = 0.2 gmol/cm3 (density/concentration of vitamin in pill)

Problem 3

Vitamin solubility is 1 gmol in 100 gmol of waterYou are loading a drug (D) onto a porous spherical carrier pellet from an ethanol solution. The  process is controlled by film diffusion f nom the bulk ethanol solution to the pellet.

kf= 9.3 x 104 an/s R = 1.2 cm
C_DB = 2.4 gmol/cm3 ps = 0.72 gmol/cm3
Adsorption stoichiometry -> 1 mole drug
requires 3 mole of carrier to bind

1. Calculate the time needed to fully
saturate the pellet with I) (min).

2. Calculate the time needed to reach 85%
saturation of the pellet.

 

Answer 1

For the chemistry numerical problems, provide answer by showing the whole calculation part. Please remember to provide respective unit wherever required. Question 1: MCO consists of a new vitamin pill that dissolves slowly (that is, shrinks) to discharge vitamins over a whole day (12 hrs). Supposing the dissolution of the vitamins is rate-limiting (that is, ignore diffusion constraints), compute the required size (radius) of the spherical pill. You might suppose that the dissolution reaction is first order and that the vitamin solution leaving the pill is saturated. Data: kS = 0.01 cm/s; Cwater = 0.056 gmol/cm3 ; rB = 0.2 gmol/cm3; Question 2: Mixed flow reactors are comparatively cheap as compared to plug flow reactor. Suppose MFRs cost $23/L to construct versus $47/L for PFRs. You are carrying a reaction having given parameters: k = 0.17 sec-1; Co = 16.7 mol/L; q = 10 L/s; Having a 95% conversion. Name the reactor which would be economical to construct?