Question

how many moles of chlorine gas are needed to make 0.6 moles of sodium chloride? given the reaction 2na + cl₂ → 2nacl. options: 0.3, 0.6, 1.2, 3.6, not enough information.

Explanation:

Step1: Analyze the reaction stoichiometry

The balanced chemical reaction is \( 2\text{Na} + \text{Cl}_2
ightarrow 2\text{NaCl} \). From this reaction, we can see that the mole ratio of \( \text{Cl}_2 \) to \( \text{NaCl} \) is \( 1:2 \) (1 mole of \( \text{Cl}_2 \) produces 2 moles of \( \text{NaCl} \)).

Step2: Set up the proportion to find moles of \( \text{Cl}_2 \)

Let \( x \) be the moles of \( \text{Cl}_2 \) needed. We know that \( \frac{\text{moles of } \text{Cl}_2}{\text{moles of } \text{NaCl}} = \frac{1}{2} \). We are given that moles of \( \text{NaCl} = 0.6 \) moles. So, \( \frac{x}{0.6} = \frac{1}{2} \).

Step3: Solve for \( x \)

Cross - multiply the proportion: \( 2x = 0.6\times1 \). Then, \( x=\frac{0.6}{2}=0.3 \) moles.

Answer:

0.3 (corresponding to the option "0 3" in the given choices)