How many times larger is the radius of a mercury atom 150 x

How many times larger is the radius of a mercury atom, 1.50 x 10^-10, than the radius of a hydrogen atom, 2.5 x 10^-11

Solution

Let us suppose that mercury atom is x times larger than the hydrogen atom. Hence we have

1.50 x 10^-10 =  2.5 x 10^-11 * x

=> x= (1.50 x 10^-10 )/ (2.5 x 10^-11)

=> x= 150/25 = 6

Hence the radius of mercury atoms is 6 times larger than that of hydrogen atom.