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Chapter 4: Problem 59

(a) Is the number of moles of ions present in a solution an intensive or an extensive property? (b) Can you identify which one between $0.10 \mathrm{~mol} \mathrm{ZnCl}_{2}\( and \)0.1 \mathrm{M} \mathrm{ZnCl}_{2}$ contains more \(\mathrm{Zn}^{2+}\) ion? Why?

Short Answer

Expert verified
(a) The number of moles of ions present in a solution is an extensive property, as it depends on the quantity of the substance. (b) We cannot identify which contains more Zn2+ ions since the volume of the solution for 0.1 M ZnCl2 is not provided.

Step by step solution

01

Understanding Intensive and Extensive Properties

Intensive properties are properties that do not depend on the quantity of matter, such as density, boiling point, or color. Extensive properties, on the other hand, depend on the amount of substance present. These include mass, volume, and the number of moles of a substance.
02

Determining Property of Moles of Ions in a Solution

The number of moles of ions in a solution depends on the quantity of the substance; therefore, it is an extensive property. Answer for part (a): The number of moles of ions present in a solution is an extensive property.
03

Understanding Mole and Molarity

Moles represent the quantity of a substance, while molarity represents the concentration of a substance in a solution, which is defined as moles of solute per liter of solution (\(\mathrm{M = \dfrac{moles}{L}}\)).
04

Identify the Total Amount of Zn2+ ions in Given Cases

In the first case, we have 0.10 mol ZnCl2. Each molecule of ZnCl2 dissociates into one Zn2+ ion and two Cl- ions. Therefore, the number of Zn2+ ions will be equal to the number of moles of ZnCl2, which is 0.10 mol. In the second case, we have 0.1 M ZnCl2 solution. To compare with the first case, we need to know the volume of solution in the second case. However, since the volume of solution is not provided, we cannot determine the number of moles of Zn2+ ions in the second case. Without this information, we cannot identify which case contains more Zn2+ ions. Answer for part (b): We cannot identify which contains more Zn2+ ions since the volume of the solution for 0.1 M ZnCl2 is not provided.

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Most popular questions from this chapter

The distinctive odor of vinegar is due to aceticacid, $\mathrm{CH}_{3} \mathrm{COOH}$, which reacts with sodium hydroxide according to: \(\mathrm{CH}_{3} \mathrm{COOH}(a q)+\mathrm{NaOH}(a q) \longrightarrow\) $$ \mathrm{H}_{2} \mathrm{O}(l)+\mathrm{NaCH}_{3} \mathrm{COO}(a q) $$ If \(3.45 \mathrm{~mL}\) of vinegar needs \(42.5 \mathrm{~mL}\) of $0.115 \mathrm{M} \mathrm{NaOH}$ to reach the equivalence point in a titration, how many grams of acetic acid are in a \(1.00-\) qt sample of this vinegar?

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