A Cube Of Ag Is Needed That Has A Mass Of 58.1 G. What Must Be The Length Of The Cube's Edge In Cm

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Introduction

In chemistry, understanding the properties of elements and their compounds is crucial for various applications. One such property is density, which is defined as the mass per unit volume of a substance. In this article, we will explore how to calculate the edge length of a cube made of silver (Ag) given its mass and density.

The Problem

We are given a cube of silver with a mass of 58.1 g. The density of silver is 10.5 g/cm³. We need to find the length of the cube's edge in centimeters.

The Formula

To solve this problem, we will use the formula for density:

Density (ρ) = Mass (m) / Volume (V)

We can rearrange this formula to solve for volume:

V = m / ρ

Since the cube has a length, width, and height that are all equal (let's call this length 's'), its volume can be calculated as:

V = s³

Calculating the Volume

Now, we can substitute the given values into the formula:

V = 58.1 g / 10.5 g/cm³

V = 5.52 cm³

Finding the Edge Length

Now that we have the volume, we can substitute it into the formula for the volume of a cube:

s³ = 5.52 cm³

To find the edge length, we take the cube root of both sides:

s = ∛5.52 cm³

s ≈ 1.83 cm

Conclusion

In this article, we calculated the edge length of a cube made of silver given its mass and density. We used the formula for density and the formula for the volume of a cube to solve for the edge length. The result shows that the edge length of the cube is approximately 1.83 cm.

Additional Information

  • The density of silver is 10.5 g/cm³ at room temperature.
  • The mass of the cube is 58.1 g.
  • The volume of the cube is 5.52 cm³.
  • The edge length of the cube is approximately 1.83 cm.

References

  • CRC Handbook of Chemistry and Physics, 97th Edition.
  • IUPAC Gold Book, 2nd Edition.

Frequently Asked Questions

  • Q: What is the density of silver? A: The density of silver is 10.5 g/cm³ at room temperature.
  • Q: What is the mass of the cube? A: The mass of the cube is 58.1 g.
  • Q: What is the volume of the cube? A: The volume of the cube is 5.52 cm³.
  • Q: What is the edge length of the cube? A: The edge length of the cube is approximately 1.83 cm.
    A Cube of Silver: Q&A =========================

Introduction

In our previous article, "A Cube of Silver: Calculating the Edge Length," we explored how to calculate the edge length of a cube made of silver given its mass and density. In this article, we will answer some frequently asked questions related to the topic.

Q&A

Q: What is the formula for density?

A: The formula for density is:

Density (ρ) = Mass (m) / Volume (V)

Q: How do I calculate the volume of a cube?

A: To calculate the volume of a cube, you can use the formula:

V = s³

where s is the length of the edge of the cube.

Q: What is the density of silver?

A: The density of silver is 10.5 g/cm³ at room temperature.

Q: How do I calculate the edge length of a cube given its mass and density?

A: To calculate the edge length of a cube given its mass and density, you can use the following steps:

  1. Calculate the volume of the cube using the formula: V = m / ρ
  2. Substitute the volume into the formula for the volume of a cube: s³ = V
  3. Take the cube root of both sides to find the edge length: s = ∛V

Q: What is the mass of the cube in our example?

A: The mass of the cube in our example is 58.1 g.

Q: What is the volume of the cube in our example?

A: The volume of the cube in our example is 5.52 cm³.

Q: What is the edge length of the cube in our example?

A: The edge length of the cube in our example is approximately 1.83 cm.

Q: Can I use this method to calculate the edge length of a cube made of any material?

A: Yes, you can use this method to calculate the edge length of a cube made of any material, as long as you know its density and mass.

Q: What are some common applications of density calculations?

A: Density calculations have many applications in various fields, including chemistry, physics, engineering, and materials science. Some common applications include:

  • Calculating the mass of a substance given its volume and density
  • Determining the density of a substance given its mass and volume
  • Calculating the volume of a substance given its mass and density
  • Determining the edge length of a cube given its mass and density

Conclusion

In this article, we answered some frequently asked questions related to calculating the edge length of a cube made of silver given its mass and density. We hope this article has been helpful in clarifying any doubts you may have had.

Additional Information

  • The density of silver is 10.5 g/cm³ at room temperature.
  • The mass of the cube is 58.1 g.
  • The volume of the cube is 5.52 cm³.
  • The edge length of the cube is approximately 1.83 cm.

References

  • CRC Handbook of Chemistry and Physics, 97th Edition.
  • IUPAC Gold Book, 2nd Edition.

Frequently Asked Questions

  • Q: What is the formula for density? A: The formula for density is: Density (ρ) = Mass (m) / Volume (V)
  • Q: How do I calculate the volume of a cube? A: To calculate the volume of a cube, you can use the formula: V = s³
  • Q: What is the density of silver? A: The density of silver is 10.5 g/cm³ at room temperature.