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Density of water = 1 g/ml
mass of 0.0018 ml of water = 0.0018×1 = 0.0018 g
molar mass of water = 18 g/mol

number of moles in 0.0018g of water =  \frac{0.0018}{18}=10^{-4}\ mole

number of water molecules in 1 mole = 6.022×10²³ molecules
number of water molecules in 10^{-4} mole = 10^{-4}*6.022*10^{23}=\boxed{6.022*10^{19}\ molecules}
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