question_answer

V versus T curves, at constant pressure \[{{P}_{1}}\] and \[{{P}_{2}}\] for an ideal   gas   are shown in figure. Which statement is correct?

A)  \[{{P}_{1}}<{{P}_{2}}\]

B)  \[{{P}_{1}}>{{P}_{2}}\]

C)  \[{{P}_{1}}={{P}_{2}}\]

D)  all of the above are correct

Correct Answer: A

Solution :

From Boyles law \[P\propto \frac{1}{V}\]       (at constant T) at a constant temperature \[{{T}_{1}}\], we can see, that Volume corresponding pressure \[{{P}_{1}}\] > volume corresponding to \[{{P}_{2}}\] \[\therefore \]  \[{{P}_{1}}<{{P}_{2}}\]