Which of the following shows the correct relationship between the pressure ‘P’ and density ρ of an ideal gas at constant temperature? (a) (b) (c) (d)

Answer: (d). PV = m/MRT ⇒ P = (ρ RT)/(M). At constant T, P ∝ ρ: a straight line through the origin. Graph (d) is a rising straight line which, extended, passes through O. So the answer is (d).

Which of the following shows the correct relationship between the… | JEE Main 2016 (10 Apr, Shift 1)

Q73JEE Main 2016 · 10 APR · SHIFT 1Easy

Gas Laws & Ideal Gas Equation

Which of the following shows the correct relationship between the pressure ‘P’ and density $\rho$ of an ideal gas at constant temperature?

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Answer: (d)

$PV = \dfrac{m}{M}RT \Rightarrow P = \dfrac{\rho RT}{M}$ .
At constant $T$ , $P \propto \rho$ : a straight line through the origin.
Graph (d) is a rising straight line which, extended, passes through O.
So the answer is (d).

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Gas Laws & Ideal Gas Equation question from JEE Main 2016 (10 Apr, Shift 1)

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