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Swamp gas consists primarily of methane, a chemical compound consisting of a 1 : 4 ratio of carbon to hydrogen atoms. If a sample of methane contains 1564 hydrogen atoms, how many carbon atoms are present in the sample?

Respuesta :

Answer:

Number of carbon atoms present in the sample are 391.

Step-by-step explanation:

We are given that,

Ratio of carbon to hydrogen atoms = 1 : 4

It is given that a sample of methane consists of 1564 hydrogen atoms.

Let the carbon atoms in the sample = x

So, we have the relation,

[tex]\frac{Carbon}{Hydrogen}=\frac{1}{4}=\frac{x}{1564}[/tex]

i.e. [tex]\frac{1}{4}=\frac{x}{1564}[/tex]

i.e. [tex]x=\frac{1564}{4}}[/tex]

i.e. x= 391

Hence, the number of carbon atoms present in the sample are 391.

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