The pressure of a gas in a 0.1 m^3 container is 150kPa.Find the number of gas molecules in the container if the average translational kinetic energy of each molecule is 5.0 x 10^-21 J?

1 Answer
Dec 21, 2015

Answer:

#4.5xx10^24#

Explanation:

The average translational kinetic energy is given by:

#KE=3/2kT#

#k# is the Boltzmann Constant which is effectively the gas constant per mole.

#T# is the absolute temperature.

#:.T=(KExx2)/(3kT)#

#T=(5xx10^(-21)xx2)/(3xx1.38xx10^(-23)#

#T=241.5"K"#

From the ideal gas equation we get:

#PV=NkT#

#N# is the number of molecules.

#:.N=(PV)/(kT)=(150xx10^(3)xx0.1)/(1.38xx10^(-23)xx241.5)#

#N=4.5xx10^(24)#