Question

The value of the universal gas constant R depends upon the:
A. Nature of the gas
B. Mass of the gas
C. Temperature of the gas
D. Units of measurement

Answer 1

Hint: Gas constant is a physical constant and denoted with a symbol R. Gas constant also called as universal gas constant. Universal gas constant is obtained by the combination of Avogadro’s law, Boyle’s law and Charles’s law.

Complete step by step answer:
- The value of Universal gas constant R is \[8.3144\text{ }J.mol{{e}^{-1}}.{{K}^{-1}}\].
- There is a relationship between ideal gas equation and Universal gas constant.
- The ideal gas equation is as follows.
PV = nRT
Here, P =Pressure of the gas
V = Volume of the gas
N= Number of moles of the gas
R = universal gas constant
T = Temperature of the gas
- We can write the ideal gas equation as follows.
\[R=\dfrac{PV}{nT}\]

- From the above formula we can say that universal gas constant is directly proportional to Pressure and Volume of the gas and inversely proportional to Temperature.
- Means Universal gas constant is going to be depending on the pressure, volume and temperature of the gas.
- Therefore the value of the universal gas constant R depends upon the units of measurements.
So, the correct answer is “Option D”.

Note: Universal gas constant is going to play a role when we are going to do numerical problems related to ideal gases. Universal gas constant is equivalent to Boltzmann constant. Gas constant is calculated by using the STP values laterally with the molar mass of the real gas.