Hello!
How many molecules are in 30 liters of methane (CH4) at STP ?
We have the following information:
Knowing that by Avogadro's Law for each mole of substance we have 6.02 10²³ molecules, it is known that in STP (Standard Temperature and Pressure) one mole of any gas equals 22.4 L, then:
22.4 L ----------------- 6.0210²³ molecules
30 L -------------------- y molecules
\(\dfrac{22.4}{30} = \dfrac{6.02*10^{23}}{y}\)
multiply the means by the extremes
\(22.4*y = 30*6.02*10^{23}\)
\(22.4*y = 1.806*10^{25}\)
\(y = \dfrac{1.806*10^{25}}{22.4}\)
\(\boxed{\boxed{y = 8.0625*10^{23}\:molecules}}\:\:\:\:\:\:\bf\green{\checkmark}\)
Answer:
8.0625*10²³ molecules of methane
________________________
\(\bf\green{I\:Hope\:this\:helps,\:greetings ...\:Dexteright02!}\:\:\ddot{\smile}\)
