Question

What is the empirical formula of ${{C}_{2}}{{H}_{2}}$and${{C}_{6}}{{H}_{6}}$?

Answer 1

Hint: The empirical formula can also be known by the name simplest formula and can be defined as the simplest formula of a compound which is defined as the ratio of subscripts of the smallest possible whole number of the elements present in the formula.

Complete answer:
We can also define it in a way that an empirical formula for a compound is the formula of a substance written with the smallest integer subscript and this formula gives information about the ratio of numbers of atoms present in the compound. The percent composition of a compound directly leads to its empirical formula.
Now to find out the empirical formula of ${{C}_{2}}{{H}_{2}}$ we first have to know about ratio of carbon and hydrogen present in it so in this case ratio of carbon to hydrogen is same i.e. it has 2:2 which would also be written as 1:1.
Another formula given is ${{C}_{6}}{{H}_{6}}$ in this compound the ratio of hydrogen and carbon is also same i.e. 6:6 and this can also be written as 1:1.
Hence, the empirical formula represents the simplest whole number ratio of various atoms in a compound hence for both ${{C}_{2}}{{H}_{2}}$ and ${{C}_{6}}{{H}_{6}}$ the empirical formula is $CH$.

Note:
Empirical formula is the simplest formula which tells us about the lowest whole number ratio of atoms present in a compound. We know that the relative number of atoms of every element in the compound is provided by their empirical formula.