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Zinc chloride \(\left(\mathrm{ZnCl}_{2}\right)\) is used in soldering flux, an alloy used to join two metals together. Determine the moles of \(\mathrm{Cl}^{-}\) ions in 2.50 \(\mathrm{mol} \mathrm{ZnCl}_{2}\)

Short Answer

Expert verified
In 2.50 moles of ZnCl鈧, there are 5.00 moles of Cl鈦 ions, as we found using the proportion \( \frac{\text{moles of ZnCl}_{2}}{\text{moles of Cl}^{-}} \) = \( \frac{1}{2} \).

Step by step solution

01

Identify the relationship between moles of ZnCl鈧 and moles of Cl鈦 ions

In Zinc chloride (ZnCl鈧), for each molecule, one Zn虏鈦 ion is combined with two Cl鈦 ions. So, there is a 1:2 ratio between the moles of ZnCl鈧 and the moles of Cl鈦 ions. We will use this relationship to find the moles of Cl鈦 ions in 2.5 moles of ZnCl鈧.
02

Set up a proportion to find the moles of Cl鈦 ions

Since there are two moles of Cl鈦 ions for every mole of ZnCl鈧, we can set up a proportion relating the moles of ZnCl鈧 and Cl鈦 ions: \( \frac{\text{moles of ZnCl}_{2}}{\text{moles of Cl}^{-}} \) = \( \frac{1}{2} \) Let x be the moles of Cl鈦 ions in 2.50 moles of ZnCl鈧: \( \frac{2.50 \ \text{mol} \ \text{ZnCl}_{2}}{\text{x mol} \ \text{Cl}^{-}} \) = \( \frac{1}{2} \)
03

Solve the proportion for moles of Cl鈦 ions

Cross-multiply the proportion and solve for x: \( 2.50 \ \text{mol} \ \text{ZnCl}_{2} \) 脳 2 = x x = 5.00 moles There are 5.00 moles of Cl鈦 ions in 2.50 moles of ZnCl鈧.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Ionic Compounds
Ionic compounds are fascinating chemical structures formed by the electrostatic attraction between ions. Ions are simply atoms or molecules that carry an electric charge. When a metal like zinc reacts with a non-metal like chlorine, the result is an ionic compound like zinc chloride (ZnCl鈧). Here, zinc donates two electrons to achieve a positive charge of 2+ (Zn虏鈦), while chlorine accepts one electron, resulting in a negative charge of 1- (Cl鈦).

The key characteristic of ionic compounds is their repeating structure, known as a lattice. This lattice consists of ions packed in a specific pattern that balances positive and negative charges. It provides ionic compounds with distinct properties such as high melting points and the ability to dissolve in water to conduct electricity.
  • Ionic compounds are formed between metals and non-metals.
  • They consist of charged ions held together by electrostatic forces.
  • Zinc chloride is an example which features Zn虏鈦 and Cl鈦 ions.
Chemical Equations
Chemical equations play a vital role in representing chemical reactions. They use chemical symbols to depict reactants transforming into products. For instance, the formation of zinc chloride can be written as:
Zn + Cl鈧 鈫 ZnCl鈧

In this equation, zinc and chlorine are the reactants combining to form zinc chloride. Balancing equations is crucial to ensure that there is an equal number of atoms for each element on both sides of the equation. This conservation of mass adheres to the principle that matter is neither created nor destroyed in a chemical reaction.
  • Chemical symbols and formulas simplify the depiction of reactions.
  • Each side of the equation must have an equal number of atoms for each element.
  • Chemical equations are balanced to reflect the conservation of mass.
Moles Calculation
Calculating moles is a fundamental concept in stoichiometry. A "mole" is a quantity used to express amounts of a chemical substance, equivalent to Avogadro's number (\(6.022 imes 10^{23}\) particles). This concept allows chemists to convert between atoms, molecules, and grams.

In a reaction involving zinc chloride, calculating moles helps determine the number of ions present. For example, in 2.50 moles of ZnCl鈧, where each unit contains two chloride ions, we use a ratio to find the number of moles of chloride ions. The ratio of \(1:2\) (ZnCl鈧:Cl鈦) indicates two moles of Cl鈦 for each mole of ZnCl鈧, resulting in 5 moles of Cl鈦 from 2.50 moles of ZnCl鈧.
  • The mole is a key measurement unit in chemistry.
  • Moles help relate particle quantities to mass.
  • Stoichiometry uses mole ratios from balanced equations to perform calculations.

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