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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 find the relative atomic mass (A_r) of element R, we first note that the sum of the relative formula masses of the reactants is given as 150. The formula for the mass of the reactants is:
Calculating the mass of the hydrogen:
Since each hydrogen atom has a relative atomic mass of 1, the total mass contributed by 3 moles of hydrogen is:
Therefore,
Substituting this back into the equation:
To find , we rearrange:
Now, using the molar mass of oxygen (16), we can calculate:
Thus, the relative atomic mass of R is 96.
Step 2
Step 3
Answer
The total relative formula mass of the reactants is calculated as follows:
The total mass of the desired product is the mass of tin, which is 119. The percentage atom economy can be calculated using the formula:
Substituting in our values:
Step 4
Answer
Carbon: This is the cheapest reactant but produces carbon dioxide, which is a greenhouse gas. Additionally, separating the solid products can be expensive and time-consuming.
Hydrogen: This method has a high relative cost but produces water vapour, which can escape without significant waste.
Iron: Iron is the most expensive reactant here, and separating the solids would also take considerable time and resources.
In conclusion, while carbon is the least expensive option, it has significant environmental implications. Hydrogen, while costly, offers a cleaner output. Lastly, iron is inefficient and costly, making it a less favorable option.
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