Question

A fictional company has been producing propene oxide, C3H6O, from propene, C3H6, with a 96.0%yield. The process requires the use of a compound called m-chloroperoxybenzoic acid, C7H5O3Cl, which can be abbreviated as mCPBA. The entire reaction takes place in the solvent dichloromethane, CH2Cl2:

C3H6+C7H5O3ClCH2Cl2−−−⟶96.0% yieldC3H6O+C7H5O2Cl

The initial propene concentration in the solvent is 21.0 g/L.

Consider the prices of the following substances.

Substance	Price per unit	Unit
propene	$10.97	kg
dichloromethane	$2.12	L
mCPBA	$5.28	kg
propene oxide	$258.25	kg

Also consider that the cost of waste disposal is $5.00 per kilogram of propene oxide produced.

Part A

A relatively simple way of estimating profit is to consider the the difference between the cost (the total spent on materials and waste disposal) and the earnings (the price at which the product can be sold).

Calculate the profit from producing 67.00 kg of propene oxide.

Express your answer numerically in dollars using three significant figures.

Answer 1

1 mol C3H6 + 1 mol mCPHA ----------------> 1 mol C3H6O

42.08g 172.57g 58.08g

42.08/58.08 172.57/58.08 58.08 /58.08 to produce 1 kg of C3H6O

0.72452 kg C3H6 2.9712 kg mCPHA 1 kg C3H6O

but because the reaction gives only a 96% yield,

we scale up the reactants to get that desired 1 kg of C3H6O

(0.72452 kg ) (100/96) C3H6 & (2.9712 kg) (100/96) mCPHA ----------> 1 kg C3H6O

0.75471 kg C3H6 & 3.095 kg mCPHA ------------> 1 kg C3H6O

costs per kg of C3H6O produced:

(0.75471 kg C3H6) ($10.97 per kg) = $8.279

(3.095 kg mCPHA) ($5.28 per kg) = $16.342

(0.75471 kg C3H6) / (0.0210 kg C3H6 / L dichloromethane) = 35.939 Litres dichloromethane

(35.939 Litres dichloromethane) ($2.12 per L) = $ 76.19

waste disposal is $5.00 per kilogram of propene oxide produced

total cost, disregarding labor,energy, & facility costs:

$8.279 + $16.342 + $ $ 76.19 + $5.00 = $105.81 per kg C3H6O produced

($258.25 / kg C3H6O) - ($105.81 cost per kg) = $152.44 profit /kg

Calculate the profit from producing 67.00kg of propene oxide”

(67.00kg) ($152.44 /kg) = $10200

answer :  $10200