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Chapter 20: Problem 38

Describe how the percent of gold in its alloys is expressed in carats.

Short Answer

Expert verified
The gold percentage in its alloy is determined by dividing the carat value by 24 and multiplying by 100%.

Step by step solution

01

Understand the Carat System

The carat system is a way to express the purity of gold in its alloys. Pure gold is defined as 24 carats.
02

Define 24 Carat Gold

24 carat gold means that the gold is 100% pure. This is the baseline for measuring the purity of gold in an alloy.
03

Calculate the Purity in Percentage

To find the purity of gold in a 24-carat system, use the formula: \( \text{Percentage of gold} = \left(\frac{\text{Carat value}}{24}\right) \times 100 \% \).
04

Apply the Formula to a Sample Alloy

For example, if an alloy is 18 carats, its gold percentage is \( \left(\frac{18}{24}\right) \times 100 \% = 75 \% \).
05

Consider Other Carat Values

Use the same formula to calculate the gold content of any carat value. For example, 12 carats equal \( \left(\frac{12}{24}\right) \times 100 \% = 50 \% \) gold.

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Key Concepts

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

Carat System
The carat system is an age-old method for determining the purity of gold. It simplifies understanding by expressing gold's fineness in a straightforward manner. The system designates pure gold as 24 carats, equating to 100% gold content. Thus, when we refer to gold with fewer carats, we imply that the gold is part of an alloy. For instance, using the carat system allows jewelers and buyers alike to easily recognize the value and purity of the gold they are dealing with.
Gold Alloy
Gold alloys are created when pure gold is melted and mixed with other metals. This process alters both the appearance and properties of the gold. The purpose of forming these alloys is to enhance durability, alter color, and prioritize cost. While pure gold is beautiful, it is also quite soft, making it less suitable for everyday wear items like rings and bracelets.

When you hear terms like 18-carat gold, it means the alloy is composed of 18 parts gold and the rest from other metals. Common metals used in gold alloys include:
  • Copper: Gives a reddish hue and increases strength.
  • Nickel: Often used in white gold to provide a shiny, silver-like appearance.
  • Zinc: Enhances workability and hardness.
The jewelry market predominantly offers gold alloys, making the understanding of their composition crucial for informed purchases.
Purity Percentage
Purity percentage involves understanding how much actual gold is present in a gold alloy. To convert carats into a percentage, a simple mathematical formula is applied: \[\text{Percentage of gold} = \left(\frac{\text{Carat value}}{24}\right) \times 100 \%\]This formula allows for a quick conversion, offering an easy way to translate carat into a comprehensible percentage. For example, a piece of jewelry marked as 18 carat is 75% pure gold. This is because \[\left(\frac{18}{24}\right) \times 100 \% = 75 \%\]Understanding purity percentages helps consumers make informed decisions, by clarifying the true gold content in their purchase, thus impacting value and pricing.

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Most popular questions from this chapter

Write a structural formula for the coordination compound \(\left[\mathrm{Cr}(\mathrm{en})\left(\mathrm{NH}_{3}\right)_{2} \mathrm{I}_{2}\right],\) and give the coordination number for the central \(\mathrm{Cr}^{2+}\) ion.

Draw the possible geometric isomers, if any. (a) \(\left[\mathrm{Co}\left(\mathrm{H}_{2} \mathrm{O}\right)_{4} \mathrm{Cl}_{2}\right]^{+}\) (b) \(\left[\mathrm{Pt}\left(\mathrm{NH}_{3}\right) \mathrm{Cl}_{3}\right]^{-}\) (c) \(\left[\mathrm{Co}\left(\mathrm{H}_{2} \mathrm{O}\right)_{3} \mathrm{Cl}_{3}\right]\) (d) \(\left[\mathrm{Co}(\mathrm{en})_{2}\left(\mathrm{NH}_{3}\right) \mathrm{Br}\right]^{2+}\)

Give the electron configuration of (a) \(\mathrm{Ti}^{3+}\). (b) \(\mathrm{V}^{2+}\) (c) \(\mathrm{Ni}^{3+}\). (d) \(\mathrm{Cu}^{+}\).

Use crystal-field theory to explain why some octahedral \(\mathrm{Co}^{2+}\) complexes are more paramagnetic than others.

The metal ion in \(\left[\mathrm{Pt}\left(\mathrm{NH}_{3}\right)_{2}\left(\mathrm{C}_{2} \mathrm{O}_{4}\right)\right]\) is surrounded by a square planar array of coordinating atoms. (a) Give the oxidation number of the central metal ion. (b) Draw the structural formula of this coordination compound.
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