Question

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

Answer 1

Answer: (B)

Straight line with a negative slope

Answer 2

According to Boyle's law, $PV =$ constant $\therefore log \,P + log \,V =$ constant $log\, P = - log\, V +$ constant Hence, the plot of log $P$ vs log $V$ is straight line with negative slope.