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Question 3
This question is about the extraction of metals. Element R is extracted from its oxide by reduction with hydrogen. The equation for the reaction is: $$3H_2 + RO_3... show full transcript
Step 1
Answer
To solve for the relative atomic mass of element R, we start with the equation:
The molar mass of hydrogen is given as 1, so:
Therefore,
Hence,
Solving for gives:
Now, The relative formula mass of is the sum of the atomic mass of R and the contributions from the three oxygen atoms:
This simplifies to:
Therefore,
Step 2
Step 3
Answer
To calculate the percentage atom economy, we first need to find the total molar mass of reactants and the desired product.
From the equation:
The molar masses are as follows:
The total mass of the desired product (tin) produced is the molar mass of Sn, which is 119 g/mol.
Now, the percentage atom economy is calculated using the formula:
Substituting in the values:
Step 4
Answer
The three methods to extract tungsten are:
Carbon:
Hydrogen:
Iron:
In summary, carbon is the cheapest option, but it involves additional separation processes due to by-products. Hydrogen, while costly, may offer purer tungsten. Iron presents a balance between cost and product purity but also has associated separation challenges. Overall, the choice of method depends on the balance of cost, efficiency, and product purity.
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