To find the mass of the solution given its density and volume, we can use the formula:
[tex]\[ \text{mass} = \text{density} \times \text{volume} \][/tex]
Given:
- Density of the solution, [tex]\( \rho = 3.12 \, \text{g/mL} \)[/tex]
- Volume of the solution, [tex]\( V = 1.5 \, \text{mL} \)[/tex]
Now substitute the given values into the formula:
[tex]\[ \text{mass} = 3.12 \, \text{g/mL} \times 1.5 \, \text{mL} \][/tex]
After carrying out the multiplication:
[tex]\[ \text{mass} = 4.68 \, \text{g} \][/tex]
Now we need to present the result in significant figures. Both the given density and volume have 3 significant figures (3.12) and 2 significant figures (1.5) respectively. The result should therefore also be reported to 2 significant figures because the smallest number of significant figures among the given values is 2.
Rounding 4.68 to 2 significant figures gives us:
[tex]\[ \text{mass} \approx 4.7 \, \text{g} \][/tex]
Thus, the correct answer is:
(i) 4.7 g
