Chapter SH, Problem 15.8APP

To determine

To calculate: Mass of hydrogen gas produced.

Answer to Problem 15.8APP

Mass of hydrogen gas produced is $4\text{g}$ .

Explanation of Solution

Given:

The following reaction:

  ${\text{2H}}_{2}0\to 2{\text{H}}_2+{\text{O}}_{\text{2}}$

Mass of water = $36\text{ g}$

Mass of oxygen produced is eight times greater than the mass of hydrogen produced.

Formula used:

According to law of conservation of mass,

Total mass of reactants = Total mass of products

Mass of water = Mass of hydrogen + Mass of oxygen

Calculation:

Therefore, Mass of hydrogen + Mass of oxygen = $\text{36 g}$

Let mass of hydrogen produced be $x\text{ g}$ . Therefore, mass of oxygen produced is $8x\text{ g}$ .

  $\begin{array}{l}\text{Mass of hydrogen + mass of oxygen }=36\text{ g}\\ x+8x=36\\ 9x=36\\ x=\frac{36}{9}\\ x=4\end{array}$

Conclusion:

Mass of hydrogen gas produced is 4 g.