Respuesta :

Answer: [tex]6.023\times 10^{23}[/tex] molecules

Explanation:

According to ideal gas equation:

[tex]PV=nRT[/tex]

P = pressure of gas = 1 atm (at STP)

V = Volume of gas = 22.4 L

n = number of moles = ?

R = gas constant =[tex]0.0821Latm/Kmol[/tex]

T =temperature =[tex]273K[/tex]  (at STP)

[tex]n=\frac{PV}{RT}[/tex]

[tex]n=\frac{1atm\times 22.4L}{0.0821L atm/K mol\times 273K}=1mole[/tex]

According to avogadro's law, 1 mole of every substance occupies 22.4 L at STP and contains avogadro's number [tex]6.023\times 10^{23}[/tex] of particles.

1 mole of [tex]CH_4[/tex] contains [tex]6.023\times 10^{23}[/tex] molecules