Question

how many moles of sodium metal are needed to make 3.6 moles of sodium chloride? given the reaction: 2na + cl₂ → 2nacl options: 7.2, 0.9, 1.8, 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 the reaction, the mole ratio of \(\text{Na}\) to \(\text{NaCl}\) is \(2:2\) (or simplified \(1:1\)).

Step2: Calculate moles of Na

We know we need to make \(3.6\) moles of \(\text{NaCl}\). Using the mole ratio (moles of \(\text{Na}\) = moles of \(\text{NaCl}\) because the ratio is \(1:1\) from the balanced equation), so moles of \(\text{Na}\) needed is \(3.6\) moles? Wait, no, wait the ratio of Na to NaCl is 2:2, which is 1:1. Wait, 2 moles of Na produce 2 moles of NaCl. So moles of Na = moles of NaCl. Wait, but let's check again. The coefficient of Na is 2, coefficient of NaCl is 2. So the mole ratio is \(\frac{\text{moles of Na}}{\text{moles of NaCl}}=\frac{2}{2} = 1\). So moles of Na = moles of NaCl. So if we have 3.6 moles of NaCl, we need 3.6 moles of Na? Wait, no, wait the options have 3.6 as an option. Wait, let's do it properly.

Mole ratio: From \(2\text{Na} + \text{Cl}_2
ightarrow 2\text{NaCl}\), the ratio of \(\text{Na}\) to \(\text{NaCl}\) is \(2:2\) (or \(1:1\)). So moles of \(\text{Na}\) = moles of \(\text{NaCl}\) (since 2 moles Na gives 2 moles NaCl). So if we need 3.6 moles of NaCl, we need 3.6 moles of Na? Wait, but let's check the options. Wait, maybe I made a mistake. Wait, 2 moles Na produce 2 moles NaCl. So the ratio is 1:1. So yes, moles of Na = moles of NaCl. So 3.6 moles NaCl requires 3.6 moles Na. Wait, but the options have 3.6 as an option. Wait, but let's re-express the mole ratio. The balanced equation: 2 Na → 2 NaCl. So the mole ratio of Na to NaCl is 2/2 = 1. So moles of Na = (2/2) moles of NaCl = 1 3.6 = 3.6 moles. So the answer is 3.6. Wait, but let's check the options. The options are 7.2, 0.9, 1.8, 3.6, not enough. So 3.6 is an option. Wait, but maybe I messed up. Wait, 2 moles Na for 2 moles NaCl. So 1 mole Na for 1 mole NaCl. So 3.6 moles NaCl needs 3.6 moles Na. So the correct option is 3.6.

Wait, no, wait the ratio is 2 moles Na to 2 moles NaCl, so the ratio is 1:1. So yes, moles of Na = moles of NaCl. So 3.6 moles NaCl needs 3.6 moles Na. So the answer is 3.6.

Answer:

3.6 (the option: 3.6)