Answer
a) Volume = $0.2849cm^{3}$
b) Mass = 9.828 grams
Work Step by Step
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 = $(3.51 \times 2.8) g = 9.828 g$
