Tuesday, December 17, 2013

5.0 x 10^24 molecules = ____ liters (5 times ten to the 24th power molecules is equal to how many liters?)

The answer depends on the substance in question.  For the
sake of demonstration I will use pure water:


The first step
is to determine how many moles there are.  To do that we use Avagadro's number which is
how many molecules there are per mole.  The number is: 6.02×10^23
/mol.


To determined how many moles we have from the number
of molecules we divide the number of molecules by Avagadro's
number:


(5.0 x 10^24) / (6.02×10^23) = 8.3
mol


Next we can determine how many grams of water we have
based on the molar mass of water.


Water is H20 so the molar
mass of water = 2 times the molar mass of hydrogen plus the molar mass of
oxygen.


molar mass hydrogen = 1.00794 g/mol
molar
mass oxygen = 15.9994 g/mol
molar mass water =  2*(1.00794) + 15.9994 = 18.02
g/mol


Next to determine the number of grams of water we
have we multiply the molar mass of water by the number of total
moles:


Grams of water = 18.02 * 8.3 = 149.57
g


For water 1 g = 1mL therefore we have 149.57mL of water
or 0.15L

No comments:

Post a Comment

Comment on the setting and character of "The Fall of the House of Usher."How does setting act as a character?

Excellent observation, as it identifies how the settings of Poe's stories reflect the characters of their protagonists. Whet...