Question

The value of molar gas constant is:
A. smaller for compound gases in comparison to other gases.
B. different for different gases
C. equal for all gases
D. smaller for elementary gases in comparison to other gases

Answer 1

Hint: The constant is represented as the constant of proportionality that relates the energy scale in physics to the temperature scale. It is a physical constant that finds its application in ideal gas law, the Arrhenius equation, the Nernst equation etc and is equivalent to the Boltzmann constant.

Complete step by step answer: The gas constant is the constant of proportionality that relates the energy scale, when a mole of particles at the stated temperature is being considered,
The value of molar gas constant is equal for all gases. The molar gas constant also known as universal ideal gas constant has value $0.08206\dfrac{{{\text{L atm}}}}{{{\text{mol K}}}}$ .
The gas constant is denoted by the symbol $R$ .
Hence, the correct answer is (C), that the gas constant is equal for all gases.

Additional Information:
The gas constant occurs in the ideal gas law, as follows:
$PV=nRT=mR_{specific}T$
Where,
$P$ is the absolute pressure (SI unit-Pascals)
${\text{V = }}$Volume of gas (SI unit ${{\text{m}}^3}$)
${\text{n = }}$the amount of gas (SI unit moles)
${\text{m = }}$mass (SI unit kilograms)
${\text{T = }}$Temperature (SI unit Kelvins)
$R$ specific is mass-specific gas constant. The gas constant is expressed in the same physical units as molar entropy and molar heat capacity.

Note: The gas constant is also known by names as the molar gas constant, universal gas constant or the ideal gas constant. The gas constant ${\text{R}}$ is defined as the Avogadro constant ${{\text{N}}_{\text{A}}}$ multiplied by the Boltzmann constant$\left( {{{\text{K}}_{{\text{B }}}}{\text{or K}}} \right)$
${\text{R = }}{{\text{N}}_{\text{A}}}{\text{K}}$
Since the 2019 redefinition of SI base units, which came into effect on $20$ may $2019,$both ${\text{Na}}$and ${\text{K}}$are defined with exact numerical values when expressed in SI units. As a consequence, the value of the gas constant is also exactly defined at precisely $8.31446261815324{\text{J }}{{\text{K}}^{ - 1}}{\text{mo}}{{\text{l}}^{ - 1}}$.