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)

Respuesta :

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 : The number of moles of sulfur dioxide are, [tex]3.75\times 10^9mole[/tex]

Explanation :

As we know that,

1 mole of gas contains [tex]6.022\times 10^{23}[/tex] number of molecules

or, we can say that

As, [tex]6.022\times 10^{23}[/tex] number of sulfur dioxide molecules present in 1 mole of sulfur dioxide

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

Therefore, the number of moles of sulfur dioxide are, [tex]3.75\times 10^9mole[/tex]