The density of osmium is reported by one source to be # 22610 kg/m^3#. What is this density in g/cm^3? What is the mass of a block of osmium measuring 10.0cm x 8.0cm x 9.0cm?

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Answer 1 · 2016-10-10T18:25:09

#rho=22.61*g*cm^-3#;

#"Mass"# #=# #16.2*kg#

#rho=22610*kg*m^-3# #=# #22610xx10^3*gxx(10^2*cm)^-3#

#=# #22610xx10^3*gxx10^-6*cm^-3#

#=# #22610xx10^-3*g*cm^-3#

#=# #22.61*g*cm^-3#

So it is pretty dense stuff.

The mass of the block, is clearly #"density"xx"volume"#

#=# #22.61*g*cancel(cm^-3)xx10.0*cancel(cm)xx8.0*cancel(cm)xx9.0*cancel(cm)#

#># #16.0*kg#

Multiplication of the units clearly give me an end unit in #g#, as required.

Osmium is one of the densest materials known. It is currently selling for #$13-00*USD*g^-1#. How much is your lump worth?