The density of platinum is #21.5# #g##/##cm^3# at 25°C. What is the volume of 79.5 g of platinum at this temperature?

2 Answers
Feb 15, 2016

Answer:

The #Volume# of platninum @ #25^oC# is #3.70cm^3#

Explanation:

#Given Data:#

#Density = 21.5 g/(cm^3)#
#Mass= 79.5 g#

#Required:# #Volume = ?#

#Solution:#

From the formula
#Density = (Mass)/(Volume)#; rearrange to find the volume
#Volume=(Mass)/(Density)#; plug in the given data
#Volume=(79.5cancelg)/(21.5cancelg/(cm^3)#
#Volume=3.70cm^3#

#Answer: # #3.70cm^3#

Feb 15, 2016

Answer:

Approx. #4# #cm^3#.

Explanation:

Density, #rho#, is simply mass per unit volume, and has units #g*cm^-3#. So if mass is divided by density, we should get an answer in #1/(cm^-3)#, i.e. in #cm^3#.

So, #rho# #=# #"Mass"/"Volume"#; likewise, #Volume# #=# #"Mass"/rho#:

#"Volume"# #=# #(79.5*cancelg)/(21.5*cancelg*cm^-3)# #=# #??# #cm^3#.