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Q. In which case is the number of molecules of water maximum ?

NEETNEET 2018Some Basic Concepts of Chemistry

Solution:

1 mole of water $=6.022 \times 10^{23}$ molecules $=18$ gram of water (1) $10^{-3} mol$ of water $=6.022 \times 10^{20}$ molecules
(2) $V =0.00224 L , P =1 atm , T =273 K$
$ \begin{aligned} \therefore n =\frac{ PV }{ RT } &=\frac{1 \times 0.00224}{0.0821 \times 273}=10^{-4} \text { moles } \\ &=6.022 \times 10^{19} \text { molecules } \end{aligned} $
(3) $0.18 g$ of water $=10^{-2}$ moles
$ =6.022 \times 10^{21} \text { molecules } $
(4) $18 ml$ of water $=18 g$ of water $ \because$ density of water $=1 \frac{ g }{ ml }$
$ \begin{array}{l} =1 \text { mole } \\ =6.022 \times 10^{23} \text { molecules } \end{array} $
$\therefore 18 ml$ of water has the maximum number of water molecules.