Explanation: Here, we will be considering 1 cup is equal to 1 mol.
2 water + sugar + lemon juice → 4 lemonade
Moles of water present in 946.36 g of water![=\frac{946.36 g}{236.59 g/mol}=4 mol](https://tex.z-dn.net/?f=%3D%5Cfrac%7B946.36%20g%7D%7B236.59%20g%2Fmol%7D%3D4%20mol)
Moles of sugar present in 196.86 g of water![=\frac{196.86 g}{225 g/mol}=0.8749 mol](https://tex.z-dn.net/?f=%3D%5Cfrac%7B196.86%20g%7D%7B225%20g%2Fmol%7D%3D0.8749%20mol)
Moles of lemon juice present in 193.37 g of water![=\frac{193.37 g}{257.83 g/mol}=0.7499 mol](https://tex.z-dn.net/?f=%3D%5Cfrac%7B193.37%20g%7D%7B257.83%20g%2Fmol%7D%3D0.7499%20mol)
Moles of lemonade in 2050.25 g of water![=\frac{2050.25 g}{719.42 g/mol}=2.8498 mol](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2050.25%20g%7D%7B719.42%20g%2Fmol%7D%3D2.8498%20mol)
As we can see that number of moles of lemon juice are limited.
So, we will consider the reaction will complete in accordance with moles of lemon juice.
1 mole lemon juice reacts with 2 mol of water,then 0.7499 mol of lemon juice will react with:
of water
Mass of water used = 1.4998 mol × 236.59 g/mol=354.8376 g
Water remained unused = 946.36 g - 354.8376 g =591.5223 g
1 mole lemon juice reacts with mol of sugar,then 0.7499 mol of lemon juice will react with:
of water
Mass of sugar used = 0.7499 mol × 225 g/mol = 168.7275 g
Sugar remained unused = 196.86 g - 28.1325 g
1 mole of lemon juice gives 4 moles of lemonade.
Then 0.7499 mol of lemon juice will give:
of lemonade
Mass of lemonade obtained = 2.996 mol × 719.42 g/mol = 2157.9722 g
Theoretical yield of lemonade = 2157.9722 g
Experimental yield of lemonade = 2050.25 g
Percentage yield of lemonade:
![\frac{\text{Experimental yield}}{\text{theoretical yield}}\times 100](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BExperimental%20yield%7D%7D%7B%5Ctext%7Btheoretical%20yield%7D%7D%5Ctimes%20100)
![\frac{2050.25 g}{2157.9722 g}\times 100=95.00\%](https://tex.z-dn.net/?f=%5Cfrac%7B2050.25%20g%7D%7B2157.9722%20g%7D%5Ctimes%20100%3D95.00%5C%25)
The percentage yield of lemonade is 95% and ingredient which remained unused were water and sugar.