1. **State the problem:** Calculate the mass of HCN produced when 8.43 grams of N₂ react.
2. **Write the balanced chemical equation:** The reaction is typically \( N_2 + 3H_2 \rightarrow 2NH_3 \), but since HCN is involved, assume the reaction producing HCN from N₂ is balanced as:
$$ N_2 + 3CH_4 \rightarrow 2HCN + 6H_2 $$
(If the exact reaction is different, the molar ratio of N₂ to HCN is 1:2.)
3. **Calculate molar masses:**
- Molar mass of \( N_2 \) is given as 28.02 g/mol.
- Molar mass of HCN is calculated as:
$$ 1.008 + 12.011 + 19.007 = 32.026 \text{ g/mol} $$
4. **Convert given mass of N₂ to moles:**
$$ \text{moles of } N_2 = \frac{8.43}{28.02} \approx 0.301 \text{ mol} $$
5. **Use mole ratio to find moles of HCN produced:**
$$ 0.301 \text{ mol } N_2 \times \frac{2 \text{ mol } HCN}{1 \text{ mol } N_2} = 0.602 \text{ mol } HCN $$
6. **Calculate mass of HCN produced:**
$$ \text{mass of } HCN = 0.602 \times 32.026 = 19.27 \text{ g} $$
**Final answer:**
$$ \boxed{19.27 \text{ grams of HCN}} $$
Mass Hcn 46C2Dd
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