question_answer

For 1 mol of an ideal gas at a constant temperature T, the plot of log P against log V is a (P: Pressure, V:Volume)

A) Straight line parallel to x-axis.

B) Straight line with a negative slope.

C) Curve starting at origin.

D) Straight line passing through origin.

Correct Answer: B

Solution :

[b] According to Boyle's law, PV = constant \[\therefore ~log\,P+log\,V=constant\] \[log\,P=-\text{ }log\,V+constant\] Hence, the plot of log P vs log V is straight line with negative slope.