Discover the best answers to your questions with the help of IDNLearn.com. Ask your questions and receive comprehensive, trustworthy responses from our dedicated team of experts.

Finish balancing the following equation:
[tex]\[ \operatorname{Al}(s) + 3 \, \text{Zn}\left( \text{NO}_3 \right)_2(aq) \rightarrow \_ \, \text{Al}\left( \text{NO}_3 \right)_3(aq) + \_ \, \text{Zn}(s) \][/tex]

What coefficient does [tex]\(\text{Zn}(s)\)[/tex] have in the balanced equation?

A. 4
B. 2
C. 3
D. 1


Sagot :

Let's balance the given chemical equation step-by-step and determine the coefficient for [tex]\( \mathrm{Zn(s)} \)[/tex].

The given unbalanced equation is:
[tex]\[ \mathrm{Al}(s) + 3 \, \mathrm{Zn(NO}_3\mathrm{)_2}(aq) \rightarrow \_\_ \, \mathrm{Al(NO}_3\mathrm{)_3}(aq) + \_\_ \, \mathrm{Zn}(s) \][/tex]

### Step 1: Identify the number of atoms of each element on both sides.

- On the left side:
- 1 Al
- 3 Zn
- [tex]\(3 \times 2 = 6\)[/tex] N (from [tex]\(\mathrm{Zn(NO}_3\mathrm{)_2}\)[/tex])
- [tex]\(3 \times 6 = 18\)[/tex] O (from [tex]\(\mathrm{Zn(NO}_3\mathrm{)_2}\)[/tex])

- On the right side:
- \_\_ Al
- \_\_ Zn
- \_\_ N (from [tex]\(\mathrm{Al(NO}_3\mathrm{)_3}\)[/tex])
- \_\_ O (from [tex]\(\mathrm{Al(NO}_3\mathrm{)_3}\)[/tex])

### Step 2: Balance the Al atoms.

Since we have 1 Al atom on the left, we need 1 Al atom on the right. Also, [tex]\(\mathrm{Al(NO}_3\mathrm{)_3}\)[/tex] indicates that there are 3 nitrate ([tex]\(\mathrm{NO}_3\)[/tex]) groups per Al atom.

Balanced Al term:
[tex]\[ \mathrm{Al}(s) + 3 \, \mathrm{Zn(NO}_3\mathrm{)_2}(aq) \rightarrow \mathrm{Al(NO}_3\mathrm{)_3}(aq) + \_\_ \, \mathrm{Zn}(s) \][/tex]

To match the nitrates, let's add another Al on the left:
[tex]\[ 2 \, \mathrm{Al}(s) + 3 \, \mathrm{Zn(NO}_3\mathrm{)_2}(aq) \rightarrow 2 \, \mathrm{Al(NO}_3\mathrm{)_3}(aq) + \_\_ \, \mathrm{Zn}(s) \][/tex]

### Step 3: Balance the Zn atoms.

Now we need to balance the Zn atoms. There are 3 Zn atoms on the left (from [tex]\(3 \, \mathrm{Zn(NO}_3\mathrm{)_2}(aq))\)[/tex], therefore we need 3 Zn atoms on the right:

[tex]\[ 2 \, \mathrm{Al}(s) + 3 \, \mathrm{Zn(NO}_3\mathrm{)_2}(aq) \rightarrow 2 \, \mathrm{Al(NO}_3\mathrm{)_3}(aq) + 3 \, \mathrm{Zn}(s) \][/tex]

### Step 4: Verify the balance of other atoms.

Let's check all the atoms:

- Left side:
- 2 Al
- 3 Zn
- 6 N (from [tex]\(3 \times 2 = 6\)[/tex] [tex]\(\mathrm{NO}_3\)[/tex] groups)
- 18 O (from [tex]\(3 \times 6 = 18\)[/tex] [tex]\(\mathrm{NO}_3\)[/tex] groups)

- Right side:
- 2 Al
- 3 Zn
- 6 N (from [tex]\(2 \times 3 = 6\)[/tex] [tex]\(\mathrm{NO}_3\)[/tex] groups)
- 18 O (from [tex]\(2 \times 9 = 18\)[/tex] [tex]\(\mathrm{NO}_3\)[/tex] [tex]\([]\)[/tex])

The atoms are balanced on both sides of the equation.

### Conclusion

The balanced equation is:
[tex]\[ 2 \, \mathrm{Al}(s) + 3 \, \mathrm{Zn(NO}_3\mathrm{)_2}(aq) \rightarrow 2 \, \mathrm{Al(NO}_3\mathrm{)_3}(aq) + 3 \, \mathrm{Zn}(s) \][/tex]

Therefore, the coefficient for [tex]\(\mathrm{Zn(s)}\)[/tex] in the balanced equation is:
[tex]\[ \boxed{3} \][/tex]

So, the correct answer is:
C. 3
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Thank you for trusting IDNLearn.com. We’re dedicated to providing accurate answers, so visit us again for more solutions.