Question

How many particles can be stored in a 4.0 L container at room temperature (23 C) and standard atmospheric pressure

Answer 1

Answer: 9.91×10²³ particles

Explanation:

To find the amount of particles, you will need to use the Ideal Gas Law with what we are given.

Ideal Gas Law: PV=nRT

After we find moles, we can use Avogadro's number to convert to particles.

$n=\frac{PV}{RT}$

P=101.3kPa=1.00 atm

V=4.0 L

T=23°C+273.15=296.15 K

R=0.08206 Latm/Kmol

$n=\frac{(1.00 atm)(4.0 L)}{(0.08206Latm/Kmol)(296.15K)}$

$n=0.164595 mol$

Now that we have moles, we can convert to particles.

$0.164595mol*\frac{6.022*10^2^3 particles}{mol} =9.91*10^2^2 particles$