Question

What is the dimensional formula for universal gas constant

Answer 1

According to the Ideal Gas Law 

PV = nRT 
P is pressure (pascal or N/m2 or kg/m/s2) 
V is volume (m3) 
n is number of moles (moles) 
R is the Gas Constant (need to find out) 
T is temperature (Kelvin K) 

R = PV / nT 
= ( Kg/m/s2 x m3 ) / ( mole x K ) 
= ( Kg.m2/s2 ) / ( mole x K ) 

Now 1 Joule = 1 Kg.m2 / s2 

So, the dimensions are Mass L^2 Time^-2 Temp^-1 Mol^-1.

Answer 2

Answer:

Explanation:

according to gases formula,

PV = nRT

where P is the pressure, V is the volume, n is the no of mole, R is gas constant and T is temperature.

now , R = PV/nT

dimension of pressure = [ML^-1T^-2]

dimension of volume = [ L^3 ]

dimension of mole = no dimension

dimension of temperature = [ K]

now , dimension of R =[ML^-1T^-2][L^3]/[K]

=[ ML²T⁻²K⁻¹]