# How many moles are in 5.40 x 10^224 molecules of NO_2?

Jan 19, 2017

#### Answer:

$\text{An unfeasibly large number of moles........}$

#### Explanation:

A mole of $N {O}_{2}$ contains $6.022 \times {10}^{23}$ individual molecules........and has a mass of $44 \cdot g$.

But $5.40 \times {10}^{224}$ nitric oxide molecules represents a molar quantity of:

$\left(5.40 \times {10}^{224} \cdot \text{molecules")/(6.022xx10^23*"molecules} \cdot m o {l}^{-} 1\right)$

$= 8.97 \times {10}^{200} \cdot \text{moles}$

This molar quantity has a mass MANY times the mass of the galaxy, and probably the universe, so your question is unreasonable.

Do you mean $5.40 \times {10}^{24}$ molecules?