Question

How many molecules are in 30 liters of methane (CH4) at STP?

Answer 1

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

`(22.4)/(30) = (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 = (1.806*10^(25))/(22.4)`

`\boxed{\boxed{y = 8.0625*10^(23)\:molecules}}\:\:\:\:\:\:\bf\green{\checkmark}`

Answer:

8.0625*10²³ molecules of methane

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