Question

The value of R in SI unit is:

Answer 1

Hint:R = universal gas constant. The gas constant is a proportionality constant that relates the energy scale to the temperature scale for a mole of particles at a given temperature. Units for the gas constant vary, depending on other units used in the equation.

Complete step by step answer:
The ideal gas constant is a universal constant that we use to qualify the relationship between the properties of a gas. The constant K that we typically use relates pressure in atmosphere volume in litres and temperature in Kelvin. In this can it has the value and units of \[{\rm{R}} = 0.082062\;{\rm{atm}}\;{\rm{mo}}{{\rm{l}}^{ - 1}}{{\rm{K}}^{ - 1}}\].
Also, the ideal gas law is: pV = nRT, where n is the number of moles, and R is universal gas constant. The value of R depends on the units involved, but is usually stated with S.I. units as: R = 8.314 J/mol·K (also R = 8.314 Joules/Kelvin.)
It is crucial to match your units of Pressure, Volume, number of mole, and Temperature with the units of R. If you use the first value of R, which is 0.082057 L atm mol-1K-1, your unit for pressure must be atm, for volume must be liter, for temperature must be Kelvin.

Note:
The gas constant constant is a combination of constants from Charles's law, Boyle's law, Gay-Lussac's law and Avogadro's law. It is the physical constant featured in many fundamental equations such as ideal gas law, Arrhenius equation, and Nernst equation.