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
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: \( \boxed{84} \)


Let $ P(x_1, y_1) $ and $ Q(x_2, y_2) $ be two distinct points on the ellipse $$ \frac{x^2}{9} + \frac{y^2}{4} = 1 $$ such that $ y_1 > 0 $, and $ y_2 > 0 $. Let $ C $ denote the circle $ x^2 + y^2 = 9 $, and $ M $ be the point $ (3, 0) $. Suppose the line $ x = x_1 $ intersects $ C $ at $ R $, and the line $ x = x_2 $ intersects $ C $ at $ S $, such that the $ y $-coordinates of $ R $ and $ S $ are positive. Let $ \angle ROM = \frac{\pi}{6} $ and $ \angle SOM = \frac{\pi}{3} $, where $ O $ denotes the origin $ (0, 0) $. Let $ |XY| $ denote the length of the line segment $ XY $. Then which of the following statements is (are) TRUE?