What Is The Volume Of 12 G Of A Substance That Has A Density Of $8.9 , \text{g/cm}^3$?

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Understanding the Basics of Density and Volume

In chemistry, density is a fundamental property that describes the mass of a substance per unit volume. It is calculated by dividing the mass of the substance by its volume. The formula for density is:

Density (ρ) = Mass (m) / Volume (V)

where ρ is the density, m is the mass, and V is the volume.

Calculating the Volume of a Substance

To calculate the volume of a substance, we can rearrange the formula for density to solve for volume:

V = m / ρ

where V is the volume, m is the mass, and ρ is the density.

Given Values

We are given the mass of the substance as 12 g and its density as 8.9 g/cm³. We can now use these values to calculate the volume of the substance.

Calculating the Volume

Substituting the given values into the formula, we get:

V = 12 g / (8.9 g/cm³)

To calculate the volume, we need to perform the division. Since the density is given in g/cm³, we need to make sure that the units are consistent. In this case, the mass is also given in grams, so we can proceed with the calculation.

V = 12 g / 8.9 g/cm³ = 1.35 cm³

Conclusion

Therefore, the volume of 12 g of a substance with a density of 8.9 g/cm³ is 1.35 cm³.

Real-World Applications

Understanding the relationship between mass, density, and volume is crucial in various fields, including chemistry, physics, and engineering. For example, in chemistry, knowing the volume of a substance is essential for calculating the amount of substance present in a reaction. In physics, density is used to calculate the mass of an object, which is critical in understanding its behavior under different conditions.

Importance of Density in Chemistry

Density is a critical property in chemistry that helps us understand the behavior of substances. It is used to identify substances, calculate their mass, and predict their behavior in different conditions. In addition, density is used to calculate the volume of a substance, which is essential in various applications, including chemistry, physics, and engineering.

Calculating the Volume of a Substance with Different Units

When calculating the volume of a substance, it is essential to ensure that the units are consistent. For example, if the mass is given in grams and the density is given in g/cm³, we can proceed with the calculation. However, if the mass is given in kilograms and the density is given in g/cm³, we need to convert the mass to grams before performing the calculation.

Conclusion

In conclusion, calculating the volume of a substance given its mass and density is a straightforward process that involves rearranging the formula for density to solve for volume. By understanding the relationship between mass, density, and volume, we can calculate the volume of a substance with ease.

Frequently Asked Questions

  • What is the formula for density? The formula for density is: Density (ρ) = Mass (m) / Volume (V)
  • How do I calculate the volume of a substance? To calculate the volume of a substance, you can rearrange the formula for density to solve for volume: V = m / ρ
  • What is the importance of density in chemistry? Density is a critical property in chemistry that helps us understand the behavior of substances. It is used to identify substances, calculate their mass, and predict their behavior in different conditions.

References

  • CRC Handbook of Chemistry and Physics, 97th ed. (2016)
  • Kittel, C. (2005). Introduction to Solid State Physics. Wiley.
  • Halliday, D., Resnick, R., & Walker, J. (2013). Fundamentals of Physics. Wiley.

Further Reading

  • Understanding Density and Its Applications
  • Calculating the Mass of an Object Given Its Density and Volume
  • The Importance of Density in Chemistry and Physics

Understanding Density and Volume

In our previous article, we discussed the basics of density and volume, and how to calculate the volume of a substance given its mass and density. In this article, we will answer some of the most frequently asked questions related to density and volume.

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 substance?

A: To calculate the volume of a substance, you can rearrange the formula for density to solve for volume:

V = m / ρ

Q: What is the importance of density in chemistry?

A: Density is a critical property in chemistry that helps us understand the behavior of substances. It is used to identify substances, calculate their mass, and predict their behavior in different conditions.

Q: How do I convert the units of density?

A: To convert the units of density, you can use the following conversion factors:

  • 1 g/cm³ = 1 g/mL
  • 1 kg/m³ = 1 g/cm³

Q: What is the difference between density and specific gravity?

A: Density is a measure of the mass of a substance per unit volume, while specific gravity is a measure of the density of a substance relative to the density of water.

Q: How do I calculate the mass of an object given its density and volume?

A: To calculate the mass of an object, you can rearrange the formula for density to solve for mass:

m = ρV

Q: What is the significance of density in everyday life?

A: Density is an important property that affects many aspects of our daily lives, including the behavior of objects, the flow of fluids, and the stability of structures.

Q: How do I measure the density of a substance?

A: There are several methods to measure the density of a substance, including:

  • Using a density column
  • Using a hydrometer
  • Using a pycnometer

Q: What is the difference between density and buoyancy?

A: Density is a measure of the mass of a substance per unit volume, while buoyancy is a measure of the upward force exerted on an object by a fluid.

Q: How do I calculate the volume of a substance given its mass and density in different units?

A: To calculate the volume of a substance given its mass and density in different units, you can use the following conversion factors:

  • 1 g = 0.001 kg
  • 1 cm³ = 1 mL
  • 1 m³ = 1000 L

Q: What is the significance of density in engineering?

A: Density is an important property that affects many aspects of engineering, including the design of structures, the behavior of materials, and the performance of systems.

Conclusion

In conclusion, density and volume are fundamental properties that are essential in understanding the behavior of substances. By understanding the relationship between mass, density, and volume, we can calculate the volume of a substance with ease and apply this knowledge in various fields, including chemistry, physics, and engineering.

Further Reading

  • Understanding Density and Its Applications
  • Calculating the Mass of an Object Given Its Density and Volume
  • The Importance of Density in Chemistry and Physics

References

  • CRC Handbook of Chemistry and Physics, 97th ed. (2016)
  • Kittel, C. (2005). Introduction to Solid State Physics. Wiley.
  • Halliday, D., Resnick, R., & Walker, J. (2013). Fundamentals of Physics. Wiley.