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 ----------------- 6.02*10²³ molecules
30 L -------------------- y molecules
[tex]\dfrac{22.4}{30} = \dfrac{6.02*10^{23}}{y}[/tex]
multiply the means by the extremes
[tex]22.4*y = 30*6.02*10^{23}[/tex]
[tex]22.4*y = 1.806*10^{25}[/tex]
[tex]y = \dfrac{1.806*10^{25}}{22.4}[/tex]
[tex]\boxed{\boxed{y = 8.0625*10^{23}\:molecules}}\:\:\:\:\:\:\bf\green{\checkmark}[/tex]
Answer:
8.0625*10²³ molecules of methane
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