A platinum ring with a single diamond has a total volume of 0.436 cm^3 and a mass of 5.37 g. If the densities of platinum and diamond are 2.15 x10^4 kg/m^3 and 3.4 x 10 kg/m^3 respectively, find the size of the diamond in carats, given that 1 carat = 0.200 g

Question

anonymous · Answer

d dia= 3.4  X 10 kg/m3      
d= m/V  

  find mass in terms of grams, and convert meters to cm 

(3.4 x 10^4 kg/m3) (m3/ 10^6 cm3) 1000g/kg)= .034 g/ cm3  



Using only mass, which is conserved 

mass of diamond is .034g

use the conversion  1 carat = 0.200g  to find the size of the diamond