A balloon contains 8.4 L of helium gas at STP. How many moles of helium are in the balloon?

8.4 moles He

2.1 moles He

0.38 moles He

190 moles He

Respuesta :

Answer:

[tex]0.38\ \text{moles of He}[/tex]

Explanation:

[tex]\rho[/tex] = Density of helium at stp = 0.179 g/L

M = Molar mass of helium = 4 g/mol

V = Volume of helium = 8.4 L

Mass of helium

[tex]m=\rho V\\\Rightarrow m=0.179\times 8.4\\\Rightarrow m=1.5036\ \text{g}[/tex]

Number of moles is given by

[tex]n=\dfrac{m}{M}\\\Rightarrow n=\dfrac{1.5036}{4}\\\Rightarrow n=0.3759\approx0.38\ \text{moles of He}[/tex]

The number of moles of helium in the balloon is [tex]0.38\ \text{moles}[/tex]