Question

The relation between volume V, pressure P and absolute temperature T of an ideal gas is PV = xT, where x is a constant. The value of x depend upon

• A. the mass of the gas molecule
• B. the average kinetic energy of the gas molecules
• C. P, V and T
• D. the number of gas molecules in volume V.

Answer 1

The correct option is D the number of gas molecules in volume V.

From ideal gas equation we know that PV = nRT
We are given that PV = xT
Comparing the 2, we get that x = nR
Now, n = number of moles of the gas = $\frac{N}{N_A}$, where N is the number of molecules of the gas and $N_A$ is the avogadro's number
So, x = $\frac{N}{N_A}R$
Clearly $N_A$ and R are universal constants
So, x depends on N = number of molecules of the gas.
So, D is the correct answer.