Q. 7.53 - An Introduction to General, Organic, and Biological Chemistry

Question

Write all of the mole-mole factors for each of the following chemical equations: 

a.$2S{O}_2\left(g\right)+O_2\left(g\right)\to 2S{O}_3\left(g\right)$

b.data-custom-editor="chemistry" $4P\left(s\right)+5{\mathrm{O}}_2\left(g\right)\to 2P_{\mathit{2}}{O}_{\mathit{5}}\left(s\right)$

Step-by-Step Solution

Answer

(a) The mole-mole factors are$\frac{2 \mathrm{mole} {\mathrm{SO}}_2}{1 \mathrm{mole} {\mathrm{O}}_2},\frac{1 mole O_2}{2 mole S{O}_3} and \frac{2 mole S{O}_3}{2 mole S{O}_2}$.

(b) The mole-mole factors are$\frac{4 \mathrm{mole} \mathrm{P}}{5 \mathrm{mole} {\mathrm{O}}_2},\frac{5 mole O_2}{2 mole P_2{O}_5} and \frac{2 mole P_2{O}_5}{4 mole P}$.

Part (a) Step 1: Given Information

We are given the equation and we have to find the mole-mole factors.

Part (a) Step 2: Explanation

In the given equation, there are ways to find mole factors by considering two compounds every time.

consider,${\mathrm{SO}}_2 \mathrm{and} {\mathrm{O}}_2$

$2$ mole ${\mathrm{SO}}_2=$$1$ mole ${\mathrm{O}}_2$

which gives the $\frac{2 mole S{O}_2}{1 mole O_2}$mole-mole factor.

Now consider $O_{2 }and S{O}_3$

$1$ mole ${\mathrm{O}}_2=2$ mole ${\mathrm{SO}}_3$

which gives the $\frac{1 mole O_2}{2 mole S{O}_3}$mole-mole factor.

Again, consider $S{O}_2 and S{O}_3$

$2$ mole $S{O}_2=2$ mole $S{O}_3$

which gives the $\frac{2 mole S{O}_3}{2 mole S{O}_2}$mole-mole factor.

Hence, these are the mole-mole factors.

Part (b) Step 1: Given Information

We are given the equation and we have to find the mole-mole factors.

Part (b) Step 2: Explanation

In the given equation, there are ways to find mole factors by considering two compounds every time.

Consider P and ${\mathrm{O}}_2$

$4$mole P=$5$ mole ${\mathrm{O}}_2$

which gives the$\frac{4 \mathrm{mole} \mathrm{P}}{5 \mathrm{mole} {\mathrm{O}}_2}$ mole-mole factor.

Now consider, ${\mathrm{O}}_2\mathrm{and} {\mathrm{P}}_2{\mathrm{O}}_5$

$5$mole$O_2=2$ mole ${\mathrm{P}}_2{\mathrm{O}}_5$

which gives the$\frac{5 mole O_2}{2 mole P_2{O}_5}$ mole-mole factor.

Again, consider $P and P_2{O}_5$

$4$ mole P=$2$ mole data-custom-editor="chemistry" ${\mathrm{P}}_2{\mathrm{O}}_5$

which gives the data-custom-editor="chemistry" $\frac{2 \mathrm{mole} {\mathrm{P}}_2{\mathrm{O}}_5}{4 \mathrm{mole} \mathrm{P}}$mole-mole factor.

Hence, these are the mole-mole factors.