Question #50318

What would be the mass of 1.20 x 1024 molecules of water?

Expert's answer

Answer on the question #50318, Chemistry, Other

Question:

What would be the mass of 1.20×10241.20 \times 10^{24} molecules of water?

Solution:

The mass of number of molecules is easy to calculate, if we convert it to the number of the mole:


(N=nNAm=nM)m=NNAM,\left( \begin{array}{c} N = n * N _ {A} \\ m = n * M \end{array} \right) \Rightarrow m = \frac {N}{N _ {A}} * M,


Where nn—number of the moles,

NAN_{A}—Avogadro number, 6.021023 mol16.02 * 10^{23} \mathrm{~mol}^{-1},

MM—molar mass of water, 18 g/mol.


m=1.210246.02102318=35.9gm = \frac {1.2 * 10^{24}}{6.02 * 10^{23}} * 18 = 35.9 \mathrm{g}


Answer: 35.9 g.

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