QuestionJune 19, 2025

Carnotite (K_(2)(UO_(2))_(2)(VO_(4))_(2)) and is one of 3 common vanadium ores. Vanadium metal can be extracted from this ore as pure vanadium. If you start with 985 g of carnotite, what is the maximum number of grams of V that can be extracted? A. 59.2 grams B. 98.5 grams C. 118 grams D. 120 grams E. 130 grams

Carnotite (K_(2)(UO_(2))_(2)(VO_(4))_(2)) and is one of 3 common vanadium ores. Vanadium metal can be extracted from this ore as pure vanadium. If you start with 985 g of carnotite, what is the maximum number of grams of V that can be extracted? A. 59.2 grams B. 98.5 grams C. 118 grams D. 120 grams E. 130 grams
Carnotite (K_(2)(UO_(2))_(2)(VO_(4))_(2)) and is one of 3 common vanadium
ores. Vanadium metal can be extracted from this ore as pure
vanadium. If you start with 985 g of carnotite, what is the
maximum number of grams of V that can be extracted?
A. 59.2 grams
B. 98.5 grams
C. 118 grams
D. 120 grams
E. 130 grams

Solution
4.3(262 votes)

Answer

177.24 grams Explanation 1. Calculate molar mass of Carnotite Molar mass of K_{2}(UO_{2})_{2}(VO_{4})_{2} = 2 \times K + 4 \times O + 2 \times U + 2 \times V + 8 \times O = 2 \times 39.10 + 4 \times 16.00 + 2 \times 238.03 + 2 \times 50.94 + 8 \times 16.00 = 566.12 \, \text{g/mol} 2. Determine moles of Carnotite Moles of Carnotite = \frac{985 \, \text{g}}{566.12 \, \text{g/mol}} = 1.74 \, \text{mol} 3. Calculate grams of Vanadium Each mole of Carnotite contains 2 moles of Vanadium. Grams of Vanadium = 1.74 \, \text{mol} \times 2 \times 50.94 \, \text{g/mol} = 177.24 \, \text{g}

Explanation

1. Calculate molar mass of Carnotite<br /> Molar mass of $K_{2}(UO_{2})_{2}(VO_{4})_{2}$ = $2 \times K + 4 \times O + 2 \times U + 2 \times V + 8 \times O$ = $2 \times 39.10 + 4 \times 16.00 + 2 \times 238.03 + 2 \times 50.94 + 8 \times 16.00 = 566.12 \, \text{g/mol}$<br />2. Determine moles of Carnotite<br /> Moles of Carnotite = $\frac{985 \, \text{g}}{566.12 \, \text{g/mol}} = 1.74 \, \text{mol}$<br />3. Calculate grams of Vanadium<br /> Each mole of Carnotite contains 2 moles of Vanadium. Grams of Vanadium = $1.74 \, \text{mol} \times 2 \times 50.94 \, \text{g/mol} = 177.24 \, \text{g}$
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