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.