Question

In a gas equation, $PV = RT$, $V$ refers to the volume of:
$A.$Any amount of a gas
$B.$One-gram mass of a gas
$C.$One-gram mole of gas
$D.$One litre of gas

Answer 1

Hint: - For solving this question we must remember the gas equation and its properties. $PV = nRT$ is the general gas equation.

Complete answer:
We must know that ideal gas does not exist but this is a hypothetical gas that is used by many chemists and students because this equation used for deriving many gas laws are. Such as Boyle’s law, Charles’s law, Avogadro law etc. The ideal gas equation represents how gas will actually behave in reality.

The ideal gas law, also called the general gas equation, is the equation of state of a hypothetical ideal gas.
Given by, $PV = nRT$----(i)

$\dfrac{{PV}}{{nRT}} = 1$ is known as a compression factor. It measures the ideality of the gas. This is because when the value of all the terms of an ideal gas is entered in this equation the value comes out to be 1. If the value comes 1 then it is ideal gas.

Where, $P$ is the pressure, $V$ is the volume, $n$ is the number of moles, $R$ is universal gas constant which is $R = 8.314\;J\;mo{l^{ - 1}}{K^{ - 1}}$ and T is the temperature.
But in the question, it is given $PV = RT$----(ii),

On comparing the gas equation (i) and (ii),

We have in equation (ii), the number of moles =1

Then only $PV = RT$, hence the volume here will show 1 mole of gas or we can write 1-gram mole of gas.

Hence option C will be the correct answer and as per this in a gas equation, $PV = RT$, $V$ refers to the volume of One-gram mole of gas.

Note: - In the given numerical we can see that $PV = nRT$ is the most important gas equation. While solving the numerical based on Gas equation we must remember that all the units of Pressure, volume, universal gas constant, temperature and number of moles must be in the same SI unit.