Respuesta :

moles of N2O5 = moles of NO2 * ( 2 moles of N2O5 / 4 moles of NO2

Answer: 0.08585 moles of [tex]N_2O_5[/tex] is needed to produce 7.9 grams of [tex]NO_2[/tex]

Explanation: Moles is calculated by using the formula:

[tex]Moles=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]

Molar mass of [tex]NO_2[/tex] = 46 g/mol

Number of moles of [tex]NO_2=\frac{7.9g}{46g/mol}[/tex] = 0.1717 moles

For the given chemical reaction:

[tex]2N_2O_5\rightarrow 4NO_2+O_2[/tex]

By Stoichiometry,

4 moles of [tex]NO_2[/tex] is produced by 2 moles of [tex]N_2O_5[/tex]

So, 0.1717 moles of [tex]NO_2[/tex] is produced by = [tex]\frac{2}{4}\times 0.1717[/tex] = 0.08585 moles of [tex]N_2O_5[/tex]

Hence, moles of [tex]N_2O_5[/tex] is 0.08585 moles.