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What mass of c in 234 grams of an ore of chromium that is 55.0% FeCr2O7, and 45.0% impurities by mass? if 90.0% of the chromium can be recovered from 400.0 grams of the ore, what mass of pure chromium is obtained?
Accepted Answer
Part 1: Mass of C in the Ore
The question provides information about iron(III) chromate (FeCr2O7) and impurities, but it does not mention any carbon (C). Therefore, the mass of C in the ore cannot be determined from the given information.
Part 2: Mass of Chromium Recovered
1. Calculate the mass of FeCr2O7:
- Mass of FeCr2O7 = 234 grams
0.550 = 128.7 grams
2. Calculate the mass of chromium in FeCr2O7:
- Molar mass of FeCr2O7 = 55.845 g/mol + 2(52.00 g/mol) + 7(16.00 g/mol) = 271.845 g/mol
- Mass of Cr in FeCr2O7 = (2
52.00 g/mol / 271.845 g/mol)
128.7 grams = 49.2 grams
3. Calculate the mass of chromium recovered:
- Mass of Cr recovered = 49.2 grams
0.900 = 44.3 grams
Therefore, 44.3 grams of pure chromium can be obtained from 400.0 grams of the ore.
The question provides information about iron(III) chromate (FeCr2O7) and impurities, but it does not mention any carbon (C). Therefore, the mass of C in the ore cannot be determined from the given information.
Part 2: Mass of Chromium Recovered
1. Calculate the mass of FeCr2O7:
- Mass of FeCr2O7 = 234 grams
0.550 = 128.7 grams
2. Calculate the mass of chromium in FeCr2O7:
- Molar mass of FeCr2O7 = 55.845 g/mol + 2(52.00 g/mol) + 7(16.00 g/mol) = 271.845 g/mol
- Mass of Cr in FeCr2O7 = (2
52.00 g/mol / 271.845 g/mol)
128.7 grams = 49.2 grams
3. Calculate the mass of chromium recovered:
- Mass of Cr recovered = 49.2 grams
0.900 = 44.3 grams
Therefore, 44.3 grams of pure chromium can be obtained from 400.0 grams of the ore.
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