What is the mass of #3.34xx10^23# #"water molecules"#?

2 Answers
Feb 18, 2016

#6.022140857xx10^23# water molecules have a mass of #(15.999+2xx1.008)*g# #~~# #18.0*g#

Explanation:

The number #6.022140857xx10^23# is #N_A#, 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 #3.34xx10^23# individual water molecules; you have slightly over #1/2# #xx# #N_A#, i.e. #9-10# #g#.

Feb 18, 2016

the mass of #3.34xx10^23# 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
#=3.34xx10^23//6.02xx10^23#
#=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 #H_2O# 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 xx 18.02#
Mass = #9.911#
Thus, the mass of #3.34xx10^23# water molecules is 9.911 grams