Respuesta :

ANSWER

The percentage yield of water is 160%

EXPLANATION

Given that;

The mass of water is 144.9 grams

The mass of hydrogen gas is 10.04 grams

Follow the steps below to find the percentage yield of water

Write the balanced equation of the reaction

[tex]\text{ 2H}_{2(g)}+\text{ O}_{2(g)}\text{ }\rightarrow\text{ 2H}_2O_{(g)}[/tex]

Step1; Find the number of moles of hydrogen gas using the formula below

[tex]\text{ mole = }\frac{\text{ mass}}{\text{ molar mass}}[/tex]

Recall, that the molar mass of H2 is 2 g/mol

[tex]\begin{gathered} \text{ mole = }\frac{\text{ 10.04}}{\text{ 2}} \\ \text{ mole = 5.02 moles} \end{gathered}[/tex]

Step 2; Find the number of moles of water using a stoichiometry ratio

In the reaction, 2 moles H2 give 2 moles H2O

Therefore, the number of moles of H20 is 5.02 moles

Step 3: Find the mass of H2O

[tex]\begin{gathered} \text{ Mole = }\frac{\text{ mass}}{\text{ molar mass}} \\ \text{ cross multiply} \\ \text{ mass = mole }\times\text{ molar mass} \end{gathered}[/tex]

The molar mass of water is 18.0 g/mol

[tex]\begin{gathered} \text{ mass = 18 }\times\text{ 5.02} \\ \text{ mass = 90.36 grams} \end{gathered}[/tex]

Step 4; Find the percentage yield of water

[tex]\begin{gathered} \text{ \% yield = }\frac{\text{ Actual yield}}{\text{ Theoretical yield}}\times\text{ 100\%} \\ \\ \text{ \% yield = }\frac{\text{ 144.9}}{90.36}\times\text{ 100\%} \\ \\ \text{ \% yield = 1.60}\times100\text{ \%} \\ \text{ \%yield = 160\%} \end{gathered}[/tex]

Therefore, the percentage yield of water is 160%