What is the mass of 3.34×1023 water molecules?

2 Answers
Feb 18, 2016

6.022140857×1023 water molecules have a mass of (15.999+2×1.008)g 18.0g

Explanation:

The number 6.022140857×1023 is NA, Avogadro's number. If I have precisely this number of atoms, or molecules, I have, by definition, A MOLE of such ATOMS or MOLECULES. You have 3.34×1023 individual water molecules; you have slightly over 12 × NA, i.e. 910 g.

Feb 18, 2016

the mass of 3.34×1023 water molecules is 9.911 grams

Explanation:

Okay so firstly, you want to be converting the number of molecules of water you have into number of moles
As you probably know
Number of Particles = Number of Moles x Avogadro's constant
thus, no of moles = number of particles/Avogadro's constant
=3.34×1023/6.02×1023
=0.55
Thus 0.55 Moles
Now number of moles = mass/molar mass
We have to calculate the mass, thus
Mass = Number of Moles x Molar Mass
The molar mass of H2O is
H - 2(1.01) = 2.02
O- 16
18.02
Thus, the molar mass is 18.02 g/mol
Therefore, now we have the required values to find the mass
Mass = 0.55×18.02
Mass = 9.911
Thus, the mass of 3.34×1023 water molecules is 9.911 grams