BITSAT2019PhysicsThermodynamicsActual
The pressure versus temperature graph of an ideal gas is shown in the figure below. If the density of gas at point A is ρ 0 , then the density of the gas at point B will be
Options
- A2 ρ 0
- B2 3 ρ 0
- C3 2 ρ 0
- D3 ρ 0
Correct answer
B. 2 3 ρ 0
Step-by-step solution
Given, density of gas at point A ,   ρ A = ρ 0 General equation for an ideal gas p V = n R T ⇒ p V = m M R T [ m → mass, M → molecular mass] ⇒ p = m V · R M · T ⇒ p = ρ R M T       . . . i [where density ρ = m V ] Applying Equation. (i) at point A and B , respectively. p = ρ A R M T 0       . . . ii 2 p = ρ B R M 3 T 0       . . . iii From Equations. (ii) and (iii), we get 1 2 = ρ A ρ B