Question #13e42

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Answer 1 · 2017-09-02T16:59:11

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

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,

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

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