Question

Which of the following gas is true for 2 moles of an ideal gas?
(A) PV = nRT
(B) PV = RT
(C) PV = 2RT
(D) PV = T

Answer 1

We know that ideal gas law is an equation of state for the ideal gases (which is hypothetical). It is an approximation of the behavior of several gases under particular conditions of temperature and pressure. It is basically the combination of the Charles's law, Boyle's law, Avogadro's law, and Gay-Lussac's law.
Formula used:
We will use the ideal gas equation (equation of state):
PV = nRT
where,
P = pressure of the gas
V =volume of gas it occupies
n = number of moles
R = universal gas constant
T = absolute temperature of the gas

Complete answer:
-Let us first discuss about ideal gas law as follows:-
-Ideal gas law: It is an equation of state for the ideal gases which is also an approximation of the behavior of several gases under particular conditions of temperature and pressure. The empirical relationship between volume, pressure, temperature and the amount of a gas (or moles) can be combined into the ideal gas law which represented as follows:-
PV = nRT
where,
P = pressure of the gas
V =volume of gas it occupies
n = number of moles of gas present in the solution or sample
R = universal gas constant
T = absolute temperature of the gas
-This law helps us to calculate the value of the fourth quantity (either among P, V, T, or n) which is required to describe a gaseous sample when the other three quantities of the same sample are known.
-As it is given that the number of moles of gas are = 2 moles. So let us substitute this in the ideal gas equation as follows:-
$\begin{aligned} & \Rightarrow PV=nRT \\\ & \Rightarrow PV=2RT \\\ \end{aligned}$

Therefore the correct option is: (C) PV = 2RT.

Note:
-Remember to learn and understand the conditions and the formula used for ideal gases. There are various postulates regarding ideal gas conditions.
-Also real gases show ideal behavior at high temperature and low pressure conditions.