Question

In the equation of state of an ideal gas $PV=nRT$, the value of universal gas constant would depend only on:
(A) the nature of the gas
(B) the pressure of the gas
(C) the units of the measurement
(D) none of the above

Answer 1

Hint: The ideal gas law, also called the general gas equation, is the equation of state of a hypothetical ideal gas. It is a good approximation of the behaviour of many gases under many conditions, although it has several limitations.

Complete step by step answer:
We have been provided with ideal gas equation, $PV=nRT$:
Where P = pressure, V = volume, n = amount of substance, R = gas constant, T = temperature.
We need to tell that the value of universal gas constant would depend upon which of the following factors,
So, for that,
An ideal gas is a gas that conforms, in physical behaviour, to a particular, idealized relation between pressure, volume, and temperature called the ideal gas law. A gas does not obey the equation when conditions are such that the gas, or any of the component gases in a mixture, is near its condensation point.
The value of universal gas constant that is R: $R=8.314 Jmo{{l}^ {-1}} {{K}^ {-1}} $,
It can also be written as: $R=0.082 Lat{{m}^{1}}mo{{l}^ {-1}} {{K}^ {-1}} $ and $1.987 Ca{{l}^{1}}mo{{l}^ {-1}} {{K}^ {-1}} $,
So, we can say that the universal gas constant depends only on the units of the measurement,
Therefore, option (C) is correct.

Note: The ideal gas law relates the four independent physical properties of a gas at any time. The ideal gas law can be used in stoichiometry problems in which chemical reactions involve gases. Standard temperature and pressure (STP) are a useful set of benchmark conditions to compare other properties of gases.