MGIMS WARDHA MGIMS WARDHA Solved Paper-2014

  • question_answer
    The solubility of a gas in water at 300 K under a pressure of 100 atm is\[4\times {{10}^{-3}}kg{{L}^{-1}}\]. Therefore, the mass of the gas in kg dissolved 250 mL of water under a pressure of 250 atm at 300 K is

    A)  \[2.5\times {{10}^{-3}}\]             

    B)  \[2.0\times {{10}^{-3}}\]

    C)  \[1.25\times {{10}^{-3}}\]           

    D)  \[5.0\times {{10}^{-3}}\]

    Correct Answer: A

    Solution :

                    As \[4\times {{10}^{-3}}kg\]of gas is dissolved in 1 L of water. According to Henry s law \[m={{K}_{H}}p\] Where, \[m=4\times {{10}^{-3}}kg\] and        \[p=100atm\] \[\therefore \]  \[{{K}_{H}}=\frac{m}{p}-=\frac{4\times {{10}^{-3}}}{100}\]                 \[=4\times {{10}^{-4}}kg{{L}^{-1}}at{{m}^{-1}}\] Now. if the pressure is increased to 250 atm the mass of gas\[(m)={{K}_{H}}p\]                 \[=4\times {{10}^{-5}}\times 250\]                 \[={{10}^{-2}}kg\,{{L}^{-1}}\] and the mass of gas present in 250 mL                 \[=\frac{250}{100}\times {{10}^{-2}}\] \[=2.5\times {{10}^{-3}}kg\]


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