Question

How many moles of sulfur dioxide are in 2.26x10^33 sulfur dioxide molecules? (Please show all work, I'm homeschooled and I'm very confused)

Answer 1

The formula for finding how many moles of a substance when given the amount of molecules is: moles = number of molecules / Avogadro's number

moles = no. of molecules / Avogadro's number
= 2.26 x 10^33 / 6.022 x 10^23
= 3752906011

Round to significant figures which is 3 = 3.75 x 10^9 mol

Answer 2

Answer : The number of moles of sulfur dioxide are,
`3.75* 10^9mole`

Explanation :

As we know that,

1 mole of gas contains
`6.022* 10^(23)` number of molecules

or, we can say that

As,
`6.022* 10^(23)` number of sulfur dioxide molecules present in 1 mole of sulfur dioxide

So,
`2.26* 10^(33)` number of sulfur dioxide molecules present in
`(2.26* 10^(33))/(6.022* 10^(23))=3.75* 10^9` mole of sulfur dioxide

Therefore, the number of moles of sulfur dioxide are,
`3.75* 10^9mole`