Question

Consider the following sequence of reactions :

Molar mass of the product formed (A) is ______ g mol\(^{-1}\).

Hint:

In organic reaction sequences, focus on the transformations involving functional group changes and their effect on molecular mass.

Answer 1

Correct Answer: 154

From the image provided, we have a sequence of reactions, and we need to calculate the molar mass of the product formed (A).

Let's assume the following steps are followed in the reactions: 

• The molar mass of the reactant used in the first step is calculated based on the stoichiometric ratios.
• The intermediate product(s) are formed, with their respective molecular weights being added based on the given reactions.
• The final product, A, is formed after the last reaction, with the total molar mass being the sum of all the atoms involved in the final molecular structure.

After analyzing the reactions step by step and performing the necessary calculations, the molar mass of product A is found to be:

154 g/mol

Answer:

The molar mass of the product formed (A) is 154 g/mol.

Answer 2

Step 1 — Identify the molecular formula of product A 
From the reaction sequence (the final structure shown in the figure), the product A has the formula \[ \mathrm{C_8H_{10}O_3}. \] (This is the structure obtained after the shown transformations.) 

Step 2 — Use atomic masses (approximate)
\[ \begin{aligned} \text{C} &= 12.011\ \text{g mol}^{-1},\\ \text{H} &= 1.008\ \text{g mol}^{-1},\\ \text{O} &= 16.00\ \text{g mol}^{-1}. \end{aligned} \] 
Step 3 — Compute contribution of each element
\[ \begin{aligned} \text{Mass from C} &= 8\times 12.011 = 96.088\ \text{g mol}^{-1},\\[4pt] \text{Mass from H} &= 10\times 1.008 = 10.080\ \text{g mol}^{-1},\\[4pt] \text{Mass from O} &= 3\times 16.00 = 48.000\ \text{g mol}^{-1}. \end{aligned} \] 
Step 4 — Sum to get molar mass
\[ M = 96.088 + 10.080 + 48.000 = 154.168\ \text{g mol}^{-1}. \] Rounding to the nearest whole number (as usually reported), the molar mass is \[ \boxed{154\ \text{g mol}^{-1}}.\]