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Using the following equation, complete the stoichiometry problem:

[tex]\[ \text{ZnCl}_2 + \text{NaClO}_4 \rightarrow \text{Zn(ClO}_4\text{)}_2 + \text{NaCl} \][/tex]

a. If you start with 5 moles of [tex]\(\text{ZnCl}_2\)[/tex], how many moles of [tex]\(\text{NaCl}\)[/tex] would be produced?


Sagot :

Certainly! Let's solve this stoichiometry problem step-by-step.

We start with the balanced chemical equation:
[tex]\[ ZnCl_2 + 2 NaClO_4 \rightarrow Zn(ClO_4)_2 + 2 NaCl \][/tex]

a. The question asks us to determine how many moles of [tex]\( NaCl \)[/tex] would be produced if we start with 5 moles of [tex]\( ZnCl_2 \)[/tex].

### Step 1: Understanding the Molar Ratio
From the balanced chemical equation, we see the molar ratio between [tex]\( ZnCl_2 \)[/tex] and [tex]\( NaCl \)[/tex]:
- 1 mole of [tex]\( ZnCl_2 \)[/tex] produces 2 moles of [tex]\( NaCl \)[/tex].

### Step 2: Setting Up the Calculation
Since the molar ratio of [tex]\( ZnCl_2 \)[/tex] to [tex]\( NaCl \)[/tex] is 1:2, we can use this ratio to find out how many moles of [tex]\( NaCl \)[/tex] are produced from 5 moles of [tex]\( ZnCl_2 \)[/tex].

### Step 3: Performing the Calculation
Starting with 5 moles of [tex]\( ZnCl_2 \)[/tex]:
[tex]\[ \text{Moles of } NaCl = 5 \text{ moles of } ZnCl_2 \times 2 \text{ (moles of } NaCl \text{ per mole of } ZnCl_2) \][/tex]

[tex]\[ \text{Moles of } NaCl = 5 \times 2 = 10 \][/tex]

### Conclusion
Therefore, if you start with 5 moles of [tex]\( ZnCl_2 \)[/tex], you will produce 10 moles of [tex]\( NaCl \)[/tex].