The figure shows plot of PV/T versus P for 1.00 \times 10^{-3} \mathrm{~kg} of oxygen gas at two different temperatures.
The figure shows plot of PV/T versus P for 1.00 \times 10^{-3} \mathrm{~kg} of oxygen gas at two different temperatures.

(a) What does the dotted plot signify?

(b) Which is true: \mathbf{T}_{1}>\mathbf{T}_{2} or \mathbf{T}_{1}<\mathbf{T}_{2} ?

Solution:

(a) The dotted plot is perpendicular to the x-axis, indicating that n R[P \vee / T=n R] is unaffected by P. As a result, it represents optimal gas behaviour.

(b) The graph at T_{1} is closer to ideal behaviour (since it is closer to the dotted line), hence T_{1}> \mathrm{T}_{2} (higher the temperature, ideal behaviour is the higher)