👤

Imagine that you have an ideal gas in a 5.80 L container, and that 2950 molecules of this gas collide with a square-centimetre area of the container at any given instant.

If the volume is increased to 46.4 L at constant temperature, how many collisions will occur per square centimetre of this larger container?

Answer :

Answer:

23,600 collisions.

Explanation:

Hello there!

In this case, according to the Avogadro's law, which help us to understand the molecules-volume relationship as directly proportional:

[tex]\frac{molecules_2}{V_2}=\frac{molecules_1}{V_1}[/tex]

It is possible for us to compute the collisions once the volume is increased as shown below:

[tex]molecules_2=\frac{molecules_1V_2}{V_1}\\\\molecules_2=\frac{2950*46.4L}{5.80L}\\\\molecules_2=23600[/tex]

Which means 23,600 collisions will occur per square centimeter.

Regards!