The pressure of a given mass of a gas filled in a vessel of volume V at constant temperature is reduced to `1//3` rd of its initial value. Calculate the percentage change in its volume.

Explanation

Applying Boyle's law
`P_1 V_1 = P_2 V_2`
` because P_2 = (1)/(3) P_1`
Substituting the values in equation, we get
`P_1 V_1 = (1)/(3)P_1 V_2` then, `V_2 = 3V_1`
Change in volume
`Delta V = V_2 - V_1 = 2V_1`
Percentage change
`= (Delta V)/(V)xx 100 = (2V_1 )/(V_1 )xx200`
`=200%`