Question

For a given mass of a gas at a constant temperature, if the volume, ${}^{\prime }{V}^{\prime }$ becomes three times then pressure $P$ will become:

• A. $3P$
• B. $\frac{P}{3}$
• C. $\frac{3P}{T}$
• D. $9P$

Answer 1

The correct option is B $\frac{P}{3}$

According to Boyle's Law, volume of the gas is inversely proportional to the pressure at constant temperature.

$P\propto \frac{1}{V}{P}_1{V}_1=P_2{V}_2$

Let volume be 'V' and it becomes three times the $V$ at $P_2$.

$PV=P_2\times 3V$

$P_2=\frac{P}{3}$