Answer:
C. 0.04 moles per cubic decimeter.
Explanation:
The molar mass of the Iodine is 253.809 grams per mole and a cubic decimeter equals 1000 cubic centimeters. The concentration of Iodine ([tex]c[/tex]), measured in moles per cubic decimeter, can be determined by the following formula:
[tex]c = \frac{m}{M\cdot V}[/tex] (1)
Where:
[tex]m[/tex] - Mass of iodine, measured in grams.
[tex]M[/tex] - Molar mass of iodine, measured in grams per mol.
[tex]V[/tex] - Volume of solution, measured in cubic decimeters.
If we know that [tex]m = 2.54\,g[/tex], [tex]M = 253.809\,\frac{g}{mol}[/tex] and [tex]V = 0.25\,dm^{3}[/tex], then the concentration of iodine in a solution is:
[tex]c = \frac{2.54\,g}{\left(253.809\,\frac{g}{mol} \right)\cdot (0.25\,dm^{3})}[/tex]
[tex]c = 0.04\,\frac{mol}{dm^{3}}[/tex]
Hence, the correct answer is C.
