1) 
2. a) 0.5 mol carbon dioxide
b) 0.5 mol sodium carbonate
c) 0.5 mol water
d) 1.0 mol ammonium chloride
e) 53 grams sodium carbonate
f) 53 grams ammonium chloride
3. No. One-half (0.5) mol of carbon dioxide needs to be added on the second and all successive cycles.
4.
| reactant | amount needed | cost/kG | cost |
|---|---|---|---|
| carbon dioxide | 0.5 mol = 22 G = .022 kG | $19.80 | $0.44 |
| ammonia | 1.0 mol = 17 G = .017 kG | $13.20 | $0.22 |
| water | 1.0 mol = 18 G = .018 kG | free | $0.00 |
| sodium chloride | 1.0 mol = 58 G = .058 kG | $10.80 | $0.63 |
| Total Cost=$1.29 |
The 53 grams of ammonium chloride produced (one mol) will earn $0.70. When this value is subtracted from the total cost above it leaves $0.59. This is the amount that you will have to charge for the 53 grams of sodium carbonate that is produced. This works out to be $11.13 per kilogram.
5.
a) .5 mol carbon dioxide
b) 0.5 mol sodium carbonate
c) 0.5 mol calcium chloride
d) 1.0 mol ammonia
e) 0.5 mols calcium hydroxide
f) 53 grams sodium carbonate
g) 55 grams calcium chloride
h) 37 grams of calcium hydroxide
6. No. One-half (0.5) mole of carbon dioxide needs to be added on the second and all successive cycles.
Yes. After the first cycle no more ammonia will have to be added. All of the ammonia needed to start the reaction on the first cycle will be recovered. Therefore, no additional ammonia needs to be purchased.
7.
| reactant | amount needed | cost/kG | cost |
|---|---|---|---|
| carbon dioxide | 0.5 mol = 22 G = .022 kG | $19.80 | $0.44 |
| ammonia | 0.0 mol = 00 G = .000 kG | $13.20 | $0.00 |
| sodium hydroxide | 1.0 mol = 40 G = .040 kG | $15.80 | $0.63 |
| calcium hydroxide | 0.5 mol = 37 G = .037 kG | $13.20 | $0.49 |
| hydrogen chloride | 1.0 mol = 36 G = .036 kG | $8.25 | $0.30 |
| Total Cost=$1.86 |
The 55 grams of calcium chloride produced (one-half mol) will earn $0.79. When this value is subtracted from the total cost above it leaves $1.07. This is the amount that you will have to charge for the 53 grams of sodium carbonate that is produced. This works out to be $20.19 per kilogram.
8. Plan A because it can produce sodium carbonate for $11.13/kG, whereas, plan B produces sodium carbonate for $20.19/kG. Plan A will allow an extra $9.06/kG profit.
9. max production cost = competitive price - cost of production - desired profit
max production cost = $21.80 - $11.13 - $1.00
max production cost = $9.67
Plan A

Plan B

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