Question

Prove dimensionally that: PV=RT

Answer 1

Ideal Gas Law PV = nRT

THE GASEOUS STATE
Pressure  atm
Volume  liters
n  moles
R  L atm mol^-1 K^-1
Temperature  Kelvin


pv = rt

divide both sides by v
pv/v = rt/v

p = rt/v

answer: p = rt/v




Ideal Gas Law: Density

PV = NRT
PV = mass/(mw)RT

mass/V = P (MW)/RT = density



Molar Mass:
Ideal Gas Law PV = NRT
PV = mass/(MW) RT
MW = mass * RT/PV


Measures of Gases:
Daltons Law of Partial Pressures; is the total pressure of a mixture of gases equals the sum of the partial pressures of the individual gases.

Total = P_ A + P_ B

P_ A V = n_ A RT

P_ B V = n_ B R T



Partial Pressures in Gas Mixtures:
P_ total = P_ A + P_ B
P_ A = n_ A RT/V P_ B = n_ B RTV

P_ total = P_ A + P_ B = n_ total RT/V




For Ideal Gasses:


P_ A = n_ A RT/V P_ total = n_ toatal RT/V



P_ A/P_ total = n_ A RTV/n_ total RTV


= n_ A/n_ total = X_ A





Therefore, P_ A = X_ A P_ total.



PV = nRT


P pressure

V volume


n Number of moles


R Gas Constant


T temperture (Kelvin.).







Hope that helps!!!!!! Have a great day : )