Question

Gas equation PV = nRT is obeyed by the ideal gas law in?
A.Adiabatic
B.Isothermal
C.Both A and B
D.None of the above

Answer 1

Hint: We know that the ideal gas is a hypothetical gas created to calculate the equations. It is the gas that consists of randomly moving particles. They interact with other particles through perfectly elastic collisions where there is no expenditure of kinetic energy.

Complete answer:
The ideal gas law states that the approximate behaviour of any gas will be the same at any specific condition. It was formed by the accumulation of Boyle’s law, Charles’s law, Avogadro’s law, and Gay-Lussac’s law. The law was expressed mathematically using experimental constants and quantities.
The general gas equation is given as follows:
\[PV\text{ }=\text{ }nRT\]
We’ve been asked if the ideal gas follows the general gas equation in adiabatic or isothermal conditions.
Let’s understand the meaning of the Adiabatic system and Isothermal system.
Adiabatic system: This is the system where no exchange of heat occurs between the system and the surrounding. So, $q = 0$.
Isothermal system: In this system, the temperature of the system remains constant. There is no fluctuation in temperature. So, T = constant.
Now, an ideal gas is expected to behave the same way in any condition. So in any system, the ideal gas will not change. Thus, we can say that the ideal gas will follow the General gas equation in every condition.
Final answer: The correct answer is Option C- Both a and b (Adiabatic and isothermal).

Note:
In an ideal gas there is no force of attraction between the molecules present. In reality, the ideal gases cease to exist. However, a real gas can behave like an ideal gas if they have no force of attraction and no volume. They can change at low pressure and high temperatures.