Question

Question #13e42

Answer 1

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

Explanation:

According to the Ideal Gas Law,

`color(blue)(barul|stackrel(" ")(pV = nRT)|)`

Since `n = m/M`, we can write

`pV = m/MRT`

or

`V = (mRT)/(pM)`

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`

`= "0.4960 : 0.031 25 : 0.062 38" = 15.87 : 1 : 1.996`