Q. 7.55

The chemical reaction of hydrogen with oxygen produces water.

$2 H_{2} (g) + O_{2} (g) \to 2 H_{2} O (g)$

a. How many moles of $O_{2}$ are required to react with $2.6$ moles of H?

b. How many moles of $H_{2}$ are needed to react with $5.0$ moles of $O_{2}$ ?

c. How many moles of $H_{2} O$ form when $2.5$ moles of $O_{2}$ react?

Verified

Answer

(a) The moles of $O_{2}$ required are $1.3$ moles.

(b) The moles of $H_{2}$ required are $10$ moles.

1Part (a) Step 1: Given Information

We are given the $2.6$ mole of H and we have to find out how many moles of $O_{2}$ will be formed.

2Part (a) Step 2: Explanation

As we are given the moles of hydrogen and we have to find out the moles of oxygen required, it is a mole-mole conversion.

Now, $2$ mole data-custom-editor="chemistry" $H_{2} = 1$ mole data-custom-editor="chemistry" $O_{2}$

which gives the mole factordata-custom-editor="chemistry" $\frac{1 mole O_{2}}{2 mole H_{2}}$

which gives data-custom-editor="chemistry" $1.3$ moles of data-custom-editor="chemistry" $O_{2}$ is required.

3Part (b) Step 1: Given Information

We are given the $5$ moles $O_{2}$ and we have to find out how many moles of H are needed to react.

4Part (b) Step 2: Explanation

As we are given the moles of hydrogen and we have to find out the moles of oxygen required, it is a mole-mole conversion.

Now, $1$ mole $O_{2}$ = $2$ mole $H_{2}$

which gives the mole factor $\frac{2 mole H_{2}}{1 mole O_{2}}$ .

which gives $10$ moles of $H$ is required.

5Part (c) Step 1: Given Information

We are given the $2.5$ moles of $O_{2}$ and we have to find out how many moles of $H_{2} O$ will formed.

6Part (c) Step 2: Explanation

As we are given the moles of hydrogen and we have to find out the moles of oxygen required, it is a mole-mole conversion.

Now, $1$ mole $O_{2}$ = $2$ mole $H_{2} O$

which gives the mole factor $\frac{2 m o l e H_{2} O}{1 m o l e O_{2}}$ .

which gives data-custom-editor="chemistry" $5$ moles of $H_{2} O$ will formed.