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Value of R
8.313 Nm^-2 m³ mol^-1 K^-1
If you use \text{atm dm}^3, the numerical value must be 0.0821, not 8.314!

Value of R in SI units
8.313 Nm mol^-1 K^1
R in joules
We know that R in SI units is 8.313 Nm/mol.K and Nm= joules
Hence 8.313 J/ mol. K
R can be written in terms of Cal
1.987 cal / K. Mol
Kinetic energy and Temperature relationship
K. E = 3/2 RT
When temperature of 1 mole of ideal gas increases from 27C to 627 C then kinetic energy increases by
3

Energy relationship
E= n RT