First slide

Kinetic theory of ideal gases

Question

Pressure versus temperature graphs of an ideal gas are as shown in figure. Choose the wrong statement

Moderate

A

Density of gas is increasing in graph (i)
B

Density of gas is decreasing in graph (ii)
C

Density of gas is constant in graph (iii)
D

None of these

Solution

$ρ = \frac{PM}{RT}$
Density $ρ$ remains constant when P/T or volume remains constant.
In graph (i) Pressure is increasing at constant temperature hence volume is decreasing so density is increasing.
Graphs (ii) and (iii) volume is increasing hence, density is decreasing.
Note that volume would had been constant in case the straight line in graph (iii) had passed through origin.

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