Chemistry 9th Edition

a) Volume = $0.2849cm^{3}$ b) Mass = 9.828 grams
Given: 1 carat = 0.200 g Density of diamond = 3.51 $\frac{g}{cm^{3}}$ a) Since 1 carat = 0.2 g 5 carat = 0.2 $\times$ 5 = 1.0 g Since Density = $\frac{Mass}{Volume}$ Or, Volume = $\frac{Mass}{Density}$ = $\frac{1}{3.51} cm^{3}$ = $0.2849cm^{3}$ b) 1 mL = 1 $cm^{3}$ Thus 2.8 ml = 2.8 $cm^{3}$ Since Mass = Density $\times$ Volume, Mass = $(3.51 \times 2.8) g = 9.828 g$