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If $10^{-4} dm^3$ of water is introduced into a $1.0dm^3$ flask to 300K. How many moles of water are in the vapour phase when equilibrium is established? (Given Vapour pressure of $H_2O$ at 300K is 3170 Pa ; $R = 8.314JK^{-1}mol^{-1}$

$\begin{array}{1 1} (a)\;5.56\times10^{-3}mole\qquad(b)\;1.53\times10^{-2}mole\qquad(c)\;4.46\times10^{-2}mole\qquad(d)\;1.27\times10^{-3}mole \end{array} $

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