Question

Question 5.3 Using the equation of state pV = nRT; show that at a given temperature density of a gas is proportional to gas pressurep.

Class XI States of Matter Page 153

Answer 1

PV = nRT

here , n is number of moles
we know, moles = given weight /molar weight
e.g., n = m/M { where m is given weight and M is molar weight }

now, PV = mRT/M
PM = mRT/V
PM = (m/V)RT

we know, mass/volume = density
so, m/V = d { density }
so, PM = dRT
d = PM/RT

here, if T is constant then ,
$d\:\:\:\alpha\:\:P$