J-shped tube closed at one end was used by Boyle to study the relationship between the pressure of the trapped gas and its volume. Such a set up is given here. Initially some amount of gas is taken in the tube and mercury is poured in it. The volume of the gas is 0.2 L and the difference in the height of the mercury column is 760 mm of Hg. Now, some more amount of mercury is poured and the difference in the height of the mercury column is found to be 1140 mm of Hg. Calculate the new volume of the gas considering the temperature constant.

Explanation

`V_(1) = 0.2 L V_(2)` =?
`P_(1) = 760 "mm "P_(2) = 1140" mm "+ 760` mm
According to Boyle's law ` P_(1) V_(1) = P_(2) V_(2)`
` 1520 xx 0.2 = 1900 xx V_(2) rArr V_(2) = (1520 xx 0.2)/(1900) = 0.16 `L