A student is instructed to prepare 3.00 L of a 0.100-M solution of copper(II) sulfate. She goes...

Question:

A student is instructed to prepare 3.00 L of a 0.100-M solution of copper(II) sulfate. She goes to the stockroom and finds a 100-g bottle of the anhydrous salt, which costs $14.00, and a 500-mL bottle of a 1-M solution, which costs $12.50. Which source provides the most economical way of making the solution?

Copper Sulfate:

Copper sulfate is characterized as a type of salt. This salt comprises one atom of copper, one atom of sulfur, and four atoms of oxygen. This compound has a molar mass of 160 g/mol.

Answer and Explanation: 1

The molar mass of copper sulfate = 159.6 g/mol

  • A student is instructed to prepare 3.00 L of a 0.100-M solution of copper(II) sulfate. She goes to the stockroom and finds a 100-g bottle of anhydrous salt, which costs $14.00

The mass of copper sulfate is found as:

{eq}Molarity=\dfrac{mass}{molar \ mass \times \ volume} {/eq}

{eq}0.100\ M=\dfrac{mass}{159.6\ g/mol \times3\ L} {/eq}

Mass= 47.88 g

100 g costs $14.00, 47.88 g will cost $6.7.

  • To prepare 3L of a 0.100M solution we need 300 mL out of the 500mL bottle which has a cost of $12.5. Those 300mL have a cost of 7.50$, which results in higher than the cost of the solid.

Hence, the correct answer is a 500-mL bottle of a 1-M solution will be the most economical way of making the solution.


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