Answer:
[tex]\boxed{Percentage \ Yield = 47.6 \ percent}[/tex]
Explanation:
The balanced chemical reaction is
[tex]2Li + 2H_{2}O \ \ \ -> \ \ \ 2LiOH + H_{2}[/tex]
For the balanced reaction, we've
Lithium = 14 g
Water = 36 g
LiOH = 48 g
Hydrogen gas = 2 g
So,
14 g of lithium = 48 g of lithium hydroxide
And we have:
7.40 g of lithium = x grams of lithium hydroxide
Cross Multiplying,
x grams = [tex]\frac{48*7.4}{14}[/tex]
Grams of lithium = 25.4 g of lithium hydroxide
So, Theoretical Yield = 25.4 g of lithium hydroxide
Now, The %age yield:
%age Yield = [tex]\frac{Actual \ Yield}{Theoretical \ Yeild } * 100[/tex]
%age Yield = [tex]\frac{12.1}{25.4} * 100[/tex]
%age Yield = 47.6%