1. **State the problem:**
Calculate the theoretical yield of bromobenzene (C6H5Br) when 28.0 g of benzene (C6H6) reacts with 60.7 g of bromine (Br2). Then find the percentage yield if the actual yield is 51.2 g.
2. **Write the balanced chemical equation:**
$$\mathrm{C_6H_6 + Br_2 \rightarrow C_6H_5Br + HBr}$$
3. **Calculate molar masses:**
- Benzene (C6H6): $6 \times 12.01 + 6 \times 1.008 = 78.11$ g/mol
- Bromine (Br2): $2 \times 79.90 = 159.80$ g/mol
- Bromobenzene (C6H5Br): $6 \times 12.01 + 5 \times 1.008 + 79.90 = 157.01$ g/mol
4. **Convert given masses to moles:**
- Moles of benzene: $$\frac{28.0}{78.11} = 0.3586\text{ mol}$$
- Moles of bromine: $$\frac{60.7}{159.80} = 0.3799\text{ mol}$$
5. **Determine the limiting reactant:**
The reaction ratio is 1:1.
- Benzene: 0.3586 mol
- Bromine: 0.3799 mol
Benzene is limiting because it has fewer moles.
6. **Calculate theoretical moles of bromobenzene produced:**
Equal to moles of limiting reactant benzene:
$$0.3586\text{ mol}$$
7. **Calculate theoretical mass of bromobenzene:**
$$0.3586 \times 157.01 = 56.3\text{ g}$$
8. **Calculate percentage yield:**
$$\text{Percent yield} = \frac{\text{actual yield}}{\text{theoretical yield}} \times 100 = \frac{51.2}{56.3} \times 100 = 90.9\%$$
**Final answers:**
- Theoretical yield $m = 56.3$ g
- Percentage yield $= 90.9$ %
Bromobenzene Yield 488Ba0
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