Physics, asked by arhaanyaser2128, 1 year ago

S.I unit and dimensional formulae for Gas constant(R)

Answers

Answered by MATHANGI07
1
The gas constant is also known as the molar, universal, or ideal gas constant, denoted by the symbol R or R and is equivalent to the Boltzmann constant, but expressed in units of energy per temperature increment per mole, i.e. the pressure-volume product, rather than energy per temperature increment per particle.

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.

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