Problem 2 (29 pts). Sizing reactors based on concentration.\ The reaction of converting

A

into

B

is to be carried out isothermally in a flow reactor. The\ entering volumetric flow rate

v_(0)

is

10d(m^(3))/(h)

. Assume constant volumetric flow rate. The\ following reaction follows the following equation:

A->B

.\ Find the PFR and CSTR volumes necessary to consume

40%

of A when the entering mass flow\ rate of

A

is

0.30k(g)/(h)

, assuming

-r_(A)

is:\ (a)

(10pts)-r_(A)=kC_(A)

with

k=0.0005s^(-1)

\ (b) (10 pts)

-r_(A)=kC_(A)^(3)

with

k=0.6d(m^(6))/(mol^(2**)hr)

\ (c) (4 pts) What rate law would lead the CSTR and PFR to have the same volume? What\ units would

k

have? Using the same numeric value from part (b), calculate the volume.\ (d) (5 pts) Repeat part (b) to calculate the time necessary to consume

40%

of species A in\ a

1000dm^(3)

constant volume batch reactor that is perfectly mixed with

C_(A0)=0.5mo(l)/(d)m^(3)

.\ Assume the molar mass of A is

120(g)/(m)ol

.

Problem 2 (29 pts). Sizing reactors based on concentration. The reaction of converting A into B is to be carried out isothermally in a flow reactor. The entering volumetric flow rate v0 is 10dm3/h. Assume constant volumetric flow rate. The following reaction follows the following equation: AB. Find the PFR and CSTR volumes necessary to consume 40% of A when the entering mass flow rate of A is 0.30kg/h, assuming rA is: (a) (10 pts) rA=kCA with k=0.0005s1 (b) (10 pts) rA=kCA3 with k=0.6dm6/(mol2hr) (c) (4 pts) What rate law would lead the CSTR and PFR to have the same volume? What units would k have? Using the same numeric value from part (b), calculate the volume. (d) (5 pts) Repeat part (b) to calculate the time necessary to consume 40% of species A in a 1000dm3 constant volume batch reactor that is perfectly mixed with CA0=0.5mol/dm3. Assume the molar mass of A is 120g/mol