Consider the highly efficient sequential reaction pathway: ; ; . Starting with a pure sample of exac — Mole Concept and Some Basic Concepts of Chemistry Chemistry Question
Question
Consider the highly efficient sequential reaction pathway: $2A \rightarrow 2B$; $B \rightarrow 2C$; $3C \rightarrow 4D$. Starting with a pure sample of exactly $4\text{ moles}$ of A, which of the following stoichiometric predictions are mathematically correct, assuming an absolute $100\%$ yield in every step?
💡 Solution & Explanation
Step 1: First reaction ($2A \rightarrow 2B$). The stoichiometric ratio is $1:1$. Therefore, $4\text{ moles}$ of A produce $4\text{ moles}$ of B (Statement A is True). Step 2: Second reaction ($B \rightarrow 2C$). The ratio is $1:2$. The $4\text{ moles}$ of B produce $4 \times 2 = 8\text{ moles}$ of C (Statement B is True). Step 3: Third reaction ($3C \rightarrow 4D$). The ratio of C to D is $3:4$. The $8\text{ moles}$ of C will produce $8 \times (4/3) = 32 / 3 = 10.67\text{ moles}$ of D (Statement C is True). The direct conversion ratio linking A to D involves multiplying all intermediate molar ratios: $(2/2) \times (2/1) \times (4/3) = 8/3$, not 4/3.