Which has more density 1kg of water or 10kg of water?

1 Answer
Mar 2, 2017

Answer:

The #"densities"# are the SAME..........

Explanation:

#"Density"# is a so-called intensive property, whose magnitude does not depend on the size of the system. For a given temperature, thus #10*kg# of water has the same density as #1*kg# of water:

#"Density, "rho# #=# #"Mass"/"Volume"#

#rho_1=(10*kg)/(10*L)=1*kg*L^-1# or #1*g*cm^-3#

#rho_2=(1*kg)/(1*L)=1*kg*L^-1# or #1*g*cm^-3#

And thus #rho_1# and #rho_2# are manifestly the same.

On the other hand, there are the so-called extensive properties, mass, moles, volume, etc. whose magnitude depends on the number of particles in the system.