The percent yield of LiH is approximately 28.83%.
To find the percent yield, we first need to determine the theoretical yield of LiH using the given reaction and then compare it with the actual yield.
1. **Determine the moles of Li3N:**
![\[ \text{Moles of Li3N} = \frac{\text{Mass of Li3N}}{\text{Molar Mass of Li3N}} = \frac{70 \, \text{g}}{35 \, \text{g/mol}} = 2.0 \, \text{mol} \]](https://img.qammunity.org/2023/formulas/sat/high-school/f8cm6sc9gqjb93nskg9madalxz5cletr3w.png)
2. **Use stoichiometry to find moles of LiH:**
From the balanced equation, 1 mol of Li3N produces 2 mol of LiH.
![\[ \text{Moles of LiH} = 2 * \text{Moles of Li3N} = 2 * 2.0 \, \text{mol} = 4.0 \, \text{mol} \]](https://img.qammunity.org/2023/formulas/sat/high-school/kent5g9hjhqx42rgih00j3qyw6q2ig2fok.png)
3. **Calculate the theoretical yield of LiH:**
![\[ \text{Theoretical Yield of LiH} = \text{Moles of LiH} * \text{Molar Mass of LiH} \]](https://img.qammunity.org/2023/formulas/sat/high-school/u7whtng4au08yoqv4d3n86ix7790eb9pjs.png)
![\[ \text{Theoretical Yield of LiH} = 4.0 \, \text{mol} * 6.939 \, \text{g/mol} = 27.756 \, \text{g} \]](https://img.qammunity.org/2023/formulas/sat/high-school/w65e1e9orsft8p5l8dcm82midl7vsi3246.png)
4. **Calculate the percent yield:**
![\[ \text{Percent Yield} = \frac{\text{Actual Yield}}{\text{Theoretical Yield}} * 100 \]](https://img.qammunity.org/2023/formulas/sat/high-school/k8dd2gbmdc2zbcw4hphhwsg0a7kuktt32r.png)
![\[ \text{Percent Yield} = \frac{8.0 \, \text{g}}{27.756 \, \text{g}} * 100 \approx 28.83\% \]](https://img.qammunity.org/2023/formulas/sat/high-school/xig6py1g8wfklni28x4o1hm5qotl6fu3i4.png)
The question probable maybe:
Li3N(s) + 2H2(g) ⇄ LiNH2(s) + 2LiH(s) ΔH° = -192 kJ/molrxn Because pure H2 is a hazardous substance, safer and more cost effective techniques to store it as a solid for shipping purposes have been developed. One such method is the reaction represented above, which occurs at 200°C. When 70. g of Li3N(s) (molar mass 35 g/mol) reacts with excess H2(g), 8.0 g of LiH(s) is produced. The percent yield is closest to