Hello!
How many molecules are there in 15.7 liters of chlorine gas at STP?
We have the following information:
Knowing that 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
15.7 L ----------------- y molecules
\(\dfrac{22.4}{15.7} = \dfrac{6.02*10^{23}}{y}\)
\(22.4*y = 15.7*6.02*10^{23}\)
\(22.4\:y = 9.4514*10^{24}\)
\(y = 4.219375*10^{23}\:\to\:\boxed{\boxed{y \approx 4.22*10^{23}\:molecules}}\end{array}}\qquad\checkmark\)
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I Hope this helps, greetings ... Dexteright02! =)
