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: \( \boxed{84} \)
Number of \( ^1H \) NMR signals observed for the following compound is .............
Let $ a_0, a_1, ..., a_{23} $ be real numbers such that $$ \left(1 + \frac{2}{5}x \right)^{23} = \sum_{i=0}^{23} a_i x^i $$ for every real number $ x $. Let $ a_r $ be the largest among the numbers $ a_j $ for $ 0 \leq j \leq 23 $. Then the value of $ r $ is ________.
A temperature difference can generate e.m.f. in some materials. Let $ S $ be the e.m.f. produced per unit temperature difference between the ends of a wire, $ \sigma $ the electrical conductivity and $ \kappa $ the thermal conductivity of the material of the wire. Taking $ M, L, T, I $ and $ K $ as dimensions of mass, length, time, current and temperature, respectively, the dimensional formula of the quantity $ Z = \frac{S^2 \sigma}{\kappa} $ is: