134k views
5 votes
Using the equation 2H2+O2=2H2O, when 47g of water are produced, how many grams of hydrogen must react?

User Mischinab
by
5.7k points

2 Answers

4 votes

Answer: Mass of hydrogen gas that must react will be 5.22 grams.

Step-by-step explanation:

To calculate the number of moles, we use the equation:


\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}} ....(1)

Given mass of water = 47 g

Molar mass of water = 18 g/mol

Putting values in above equation, we get:


\text{Moles of }H_2O=(47g)/(18g/mol)=2.61mol

For the given balanced chemical equation:


2H_2+O_2\rightarrow 2H_2O

By Stoichiometry of the reaction:

2 moles of water are formed from 2 moles of hydrogen gas.

So, 2.61 moles of water will be formed from
(2)/(2)* 2.61=2.61mol of hydrogen gas.

Now, calculating the mass of hydrogen by using equation 1:

Moles of hydrogen gas = 2.61 moles

Molar mass of hydrogen gas = 2 g/mol

Putting values in equation 1, we get:


2.61mol=\frac{\text{Mass of hydrogen gas}}{2g/mol}\\\\\text{Mass of hydrogen gas}=5.22g

Hence, mass of hydrogen gas that must react will be 5.22 grams.

User Gottfried
by
6.0k points
1 vote

See , from the equation we can see that for forming two mole of H2O 2Mole of H2 has to react.

Mass of 2 Mole H2O is 18*2gm or 36gm.

So for forming 36 gm H2O 2×2 I.e. 4 gm H2 has to take part in reaction.

Therefore, to form 1 gm H2O 4÷36 gm of H2 has to take part.

So, for forming 47gm H2O (4÷36)×47 gm H2 has to take part

I.e. 5.22 gm of H2 has to take part

So, ans is 5.22 gm of hydrogen.

Hope it helps!!!

User DannyPhantom
by
6.3k points