PV=nRT show how the density of a vapor may be determined by this method

d = PM / RT

Explanation:

Density can be measure from,

PV = nRT

in this equation

P = pressure

V = volume

n = number of moles

R = general gas constant

T = temperature

It is known that,

number of moles = mass / molar mass

n = m/M

We will put the n = m/M in PV = nRT

PV = m/M * RT ... (1)

density = mass/volume

d = m/v

By rearranging equation (1)

P V/m = RT/M

P = m/V*RT/M

P = dRT/M

d = PM / RT