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What is the mass of a water molecule in gram? How many molecules are present in one drop of pure water which weighs 0.05 g ? If the same drop of water evaporates in one hour, calculate the number of molecules leaving the liquid surface per second.

Answer
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Hint: Water molecule contains two hydrogen atoms and one oxygen atom. And we know that there are 6.022×1023 molecules in one mole water.

Complete step-by-step answer:
In a water molecule there are three atoms, one oxygen atom and two hydrogen atoms.
So, the molecular mass of one water molecule = 2 x (molar mass of one hydrogen atom) + 1 x (molar mass of oxygen atom).
And we know that molar mass of hydrogen = 1 g/mol,
Molar mass of oxygen atom = 16 g/mol.
Putting these values of molar mass in above equation for calculating molecular mass of water:
molecular mass of one water molecule = 2×(1)+16
                         = 18 g/mol
Mass of the water molecule in gram = 18/ 6.022×1023
                            =2.988×1023g
Now, we know that in 18 g of water there are 6.022×1023 molecules.
18g6.022×1023
1g6.022×102318
0.05g6.022×102318×0.05=1.67×1021molecules
It is given that evaporation of 0.05 g water droplets takes 1 hour.
1.67×1021(0.05g)1hour
Or in 3600 seconds 1.67×1021 are evaporating or leaving the surface. So, in one second 1.67×10213600=46.38×1016 molecules are evaporating or leaving the surface.
So, the answer is 46.38×1016 molecules.

Note: Another method of calculating evaporation per seconds is that initially we can calculate the number evaporation rate in grams and we can convert it into a number of molecules.
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