# Question 13e42

Sep 2, 2017

The ratio of the volumes is 15.87 : 1 : 1.996.

#### Explanation:

According to the Ideal Gas Law,

$\textcolor{b l u e}{\overline{\underline{|}} \stackrel{\text{ }}{p V = n R T} |}$

Since $n = \frac{m}{M}$, we can write

$p V = \frac{m}{M} R T$

or

$V = \frac{m R T}{p M}$

Since $m , R , T$, and $p$ are all constant, we can write

V ∝ 1/M

Thus,

V_text(H₂):V_text(O₂):V_text(CH₄) = 1/2.016 :1/32.00:1/16.03#

$= \text{0.4960 : 0.031 25 : 0.062 38} = 15.87 : 1 : 1.996$