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The vapour pressure of water at $23^{\circ} C$ is $19.8 \;mm. 0.1 $ mole of glucose is dissolved in $178.2\; g$ of water. What is the vapour pressure (in mm) of the resultant solution ?

\[\begin {array} {1 1} (a)\;19.0 & \quad (b)\;19.602 \\ (c)\;19.402 & \quad (d)\;19.202 \end {array}\]

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