From equation PV = nRT
R = PV/nT = Pressure*Volume/(No. of moles*Temperature ) = Work done/(No. of moles*Temperature )
(i) Thus universal gas constant denotes the work done by (or on) a gas per mole per kelvin
(ii) Dimension : [ML2T-2q-1]
(iii) Value : 8.31 = 1.98 = 0.8221
![1279_Gas Constant.png](https://www.expertsmind.com/CMSImages/1279_Gas%20Constant.png)
Specific gas constant
When gas quantity is 1 gm, then gas constant used is known as specific gas constant. If M is the molecular weight and R is universal gas constant, so r = R/M
Since the value of M is distinct for different gases. Hence the magnitude of gas constant for 1 gram of a gas is distinct for different gases.
Boltzmann's constant
When 1 atom of gas is given account then the constant is known as Boltzman's constant.
For N atoms (6.023 × 1023) gas constant = R
For 1 atom gas constant =
; Dimension : [ML2T-2q-1]
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