A square box of volume contains
molecules of an ideal gas. Each molecule has mass
. Using the kinetic theory of ideal gases, it can be shown that, if all the molecules are moving with speed
at right angles to one face of the box, the pressure
exerted on the face of the box is given by the expression
This expression leads to the formula
for the pressure of an ideal gas, where
is the density of the gas and
is the mean-square speed of the molecules. Explain how each of the following terms in equation 2 is derived from equation 1:
: ...........................................................................
: ...............................................................
: ......................................................................
An ideal gas has volume, pressure and temperature as shown in the figure below.
The mass of the gas is . Calculate the mass of one molecule of the gas.