Question:

The reaction sequence given below is carried out with 16 moles of X. The yield of the major product in each step is given below the product in parentheses. The amount (in grams) of S produced is ____. 

Use: Atomic mass (in amu): H = 1, C = 12, O = 16, Br = 80

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To calculate final yield in multi-step synthesis, multiply the yield at each step and apply to starting moles. Convert moles to mass using molar mass when needed.
Updated On: May 19, 2025
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Correct Answer: 84

Solution and Explanation

Step 1: Track yields through the reaction sequence

Initial moles of X = 16 mol

Step 2: Calculate molar mass of S

S is formed from R (via NaH in ether). Given molar mass of P is 210 and the reaction doesn't drastically change the skeleton, so we consider R \( \approx \) P for molar mass estimate. Thus:

\[ \text{Approx. molar mass of S} = 210 \, \text{g/mol} \]

Step 3: Calculate mass of S

\[ n = 2 \, \text{mol}, \quad M = 210 \, \text{g/mol} \Rightarrow \text{Mass of S} = n \cdot M = 2 \times 42 = \boxed{84 \, \text{g}} \]

Final Answer: \( \boxed{84} \)

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