At a particular temperature and at a pressure of 1 atm, the mass and volume of that can be dissolved — Solutions and Colligative Properties Chemistry Question
Question
At a particular temperature and at a pressure of 1 atm, the mass and volume of $O_3$ that can be dissolved in 1 L of $H_2O$ is ‘m’ gram and ‘V’ ml, respectively. Assuming that the solution obeys Henry’s law, the mass and volume of $O_3$ dissolved in 2 L of water at the same temperature and at 5 atm, will be
💡 Solution & Explanation
Solubility (mass) is directly proportional to pressure and solvent volume. Mass in 2 L at 5 atm = $m \times 5 \times 2 = 10 m$. The volume of a dissolved gas is independent of pressure (because $V \propto n/P$ and $n \propto P$, so $P$ cancels out), but it is proportional to the volume of the solvent. Thus, the volume dissolved in 2 L of water is $2 V$. Therefore, correct answer is C.