Consider the reaction `2 A+B+3C to P+2Q`. Starting with 3 mol of A, 2 mol of B and 6 mol of C, number of moles of the products P and Q would respectively be

Options

A. 2 and 4
B. 4 and 2
C. 3 and 1.5
D. 1.5 and 3

Explanation

To solve the problem, we need to determine the number of moles of products P and Q formed from the given reactants A, B, and C in the reaction:

\[ 2A + B + 3C \rightarrow P + 2Q \]

**Step 1: Identify the initial moles of reactants.**
- Moles of A = 3
- Moles of B = 2
- Moles of C = 6

**Step 2: Determine the stoichiometric coefficients from the balanced equation.**
From the balanced equation:
- For A: 2 moles are required
- For B: 1 mole is required
- For C: 3 moles are required

**Step 3: Calculate the maximum amount of product that can be formed from each reactant.**
1. **From A:**
- According to the reaction, 2 moles of A produce 1 mole of P.
- Therefore, 3 moles of A can produce:
\[ \text{Moles of P from A} = \frac{3 \text{ moles A}}{2} = 1.5 \text{ moles of P} \]

2. **From B:**
- According to the reaction, 1 mole of B produces 1 mole of P.
- Therefore, 2 moles of B can produce:
\[ \text{Moles of P from B} = 2 \text{ moles of B} = 2 \text{ moles of P} \]

3. **From C:**
- According to the reaction, 3 moles of C produce 1 mole of P.
- Therefore, 6 moles of C can produce:
\[ \text{Moles of P from C} = \frac{6 \text{ moles C}}{3} = 2 \text{ moles of P} \]

**Step 4: Identify the limiting reagent.**
From the calculations:
- A can produce 1.5 moles of P.
- B can produce 2 moles of P.
- C can produce 2 moles of P.

The limiting reagent is the one that produces the least amount of product, which is A (1.5 moles of P).

**Step 5: Calculate the amount of Q produced.**
From the balanced equation:
- 2 moles of A produce 2 moles of Q.
- Therefore, 1 mole of A produces 1 mole of Q.
- Hence, 3 moles of A will produce:
\[ \text{Moles of Q} = 3 \text{ moles of A} = 3 \text{ moles of Q} \]

**Final Result:**
- Moles of P = 1.5
- Moles of Q = 3

Thus, the number of moles of products P and Q would respectively be **1.5 moles of P and 3 moles of Q**.

---