Practice portal › Kinetic Theory of Gases › Ideal Gas Equation and Gas Laws

Which of the following shows the correct relationship between the pressure 'P' and density ρ of an ideal gas at constant temperature?

Asked in JEE Main Online 2016 · Gas laws and P-V-T processes

• (1) P falling hyperbolically with ρ
• (2) P decreasing linearly with ρ
• (3) P rising and saturating with ρ
• (4) P increasing linearly with ρ through the origin

Step-by-step solution

Why the other options are wrong

• (1) The hyperbola is P against V. Since ρ∝1/V, plotting against density straightens it out.
• (2) Pressure rises with density; a falling line has the sign wrong.
• (3) Nothing saturates in the ideal gas law; the proportionality holds at every density the model covers.

Reading this solution needs no sign-in. You only sign in to practise against the clock and keep your progress.