For three low density gases A, B, C pressure versus temperature graphs are plotted while keeping them at constant volume, as shown in the figure.
The temperature corresponding to the point 'K' is:
(A)−273∘C✓ Correct
(B)−100∘C
(C)−373∘C
(D)−40∘C
Answer: (A)
Solution
At constant volume the pressure of a low-density gas varies with temperature as P=VnR(t+273), with t in degrees Celsius, so each gas gives a straight line. Extending every line backwards, the pressure reaches zero at the same temperature whatever the gas, and that common point is K. Setting P=0 gives t=−273∘C. The temperature corresponding to the point K is −273∘C.
JEE Main · 2023 · 01 Feb 2023 · Shift 2 · Single correct option