Why is a #1*dm^3# volume equivalent to #1*L#?

1 Answer
Oct 3, 2016

Answer:

#1*dm^3-=1*L-=1000*cm^3-=10^-3*m^3#.

Explanation:

#d# is the abbreviation for #"deci"=10^-1#.

Thus #1*dm^3# #=# #(1xx10^-1*m)^3# #=# #1xx10^(-3)*m^3#

#c# is the abbreviation for #"centi"=10^-2#.

And #1*cm^3# #=# #(1xx10^-2*m)^3# #=# #1xx10^(-6)*m^3#

And thus there are #1000*cm^3*dm^-3#, or #1000*cm^3*L^-1#

And there are also #1000*L*m^-3#. A #"cubic metre"# is a very large volume.

And thus #1*mol*dm^-3# #=# #1*mol*L^-1#, which is the familiar unit of concentration.

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