Question

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

(101.3 kPa)?

Answer 1

Answer: 9.91×10²³ particles

Step-by-step 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=(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=((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*(6.022*10^2^3 particles)/(mol) =9.91*10^2^2 particles`