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

Answer : The number of moles of sulfur dioxide are, $3.75\times 10^9mole$

Explanation :

As we know that,

1 mole of gas contains $6.022\times 10^{23}$ number of molecules

or, we can say that

As, $6.022\times 10^{23}$ number of sulfur dioxide molecules present in 1 mole of sulfur dioxide

So, $2.26\times 10^{33}$ number of sulfur dioxide molecules present in $\frac{2.26\times 10^{33}}{6.022\times 10^{23}}=3.75\times 10^9$ mole of sulfur dioxide

Therefore, the number of moles of sulfur dioxide are, $3.75\times 10^9mole$

Answer 2

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