Question

If the mass ratio of H2 and CH4 in a mixture is 1:4,
then their mole ratio will be
(1) 1:4
(2) 2:1
(3) 1:2
(4) 1:1
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Answer 1

My answer is (2)

Explanation:

The mole ratio of H2 and CH4 is 2;1

Hope my answer helps you

Answer 2

Given: The mass ratio of $H_{2}$ and $CH_{4}$ is 1:4.

To find: The mole ratio of hydrogen gas and methane.

Formula to be used: the number of moles = given mass / molar mass.

Step-by-step method:

Step 1 of 1

The mass ratio of  $H_{2}$ and $CH_{4}$ is 1:4.

$\frac{H_{2} }{CH_{4} } =\frac{1}{4}$

So, let the mass of hydrogen gas be 1x and that of methane be 4x.

So, the moles of hydrogen gas and the methane gas will be:

$n_{H_{2} } =\frac{1x}{2}$

$n_{CH_{4} } =\frac{4x}{16}$

The mole ratio will be therefore:

$\frac{H_{2} }{CH_{4}} =\frac{1x/2}{4x/16} \\\\\frac{H_{2} }{CH_{4}} =\frac{16}{8} \\\\\frac{H_{2} }{CH_{4}} =\frac{2}{1}$

Therefore, option (2) is correct.