Q.

If 1 mL of water contains 20 drops then number of molecules in a drop of water is

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a

6.023×1023 molecules 

b

1.62×1021 molecules 

c

4.346×1020 molecules 

d

1.376×1026 molecules 

answer is C.

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Detailed Solution

(i)  For water density = 1 g/ml

 1000 mL = 1000 g

(ii)  Number of moles of water in 1000 g (n) =wm (molar mass) 

n=100018=55.56moles

Number of moles in I mL of water (n) = 55.61000 

                                                     (n) = 0.0556moles

(iii) 1 mL of H2O contain 20 drops

   Number of moles of H2O in one drop =0.055620

                                                         (n)Pet drop = 0.0027

(iv) n=NNA=N6.023×1023

N=n×NA=0.002×6.023×1023

N=0.0162×1023=0.62×1021

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