Question

Pressure and volume are inversely related. When the pressure on a gas is doubled, what happens to the volume

Answer 1

Answer: Volume decreases to half of original volume

Explanation:

Boyle's Law: This law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.

$P\propto \frac{1}{V}$     (At constant temperature and number of moles)

${P_1V_1}={P_2V_2}$

where,

$P_1$ = initial pressure of gas = p

$P_2$ = final pressure of gas = 2p

$V_1$ = initial volume of gas = v

$V_2$ = final volume of gas = ?

Now put all the given values in the above equation, we get the final pressure of gas.

${p\times v}=2p\times V_2$

$V_2=\frac{v}{2}$

Therefore, the final volume of the gas will become half of initial volume.

Answer 2

When the pressure is doubled the volume will be half as the pressure increase due to the frequent collision of molecules so with the decrease in volume the pressure will increase as Boyles law