The Molecular Weight Of Table Salt, NaCl, Is $58.5 , \text{g/mol}$. A Tablespoon Of Salt Weighs 6.37 Grams. Complete The Unit Conversion Setup Using Dimensional Analysis. A × B C = Moles NaCl A \times \frac{B}{C} = \text{moles NaCl} A × C B ​ = Moles NaCl A:

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Introduction

In chemistry, unit conversions are essential for solving problems involving different units of measurement. One common unit conversion is converting the mass of a substance from grams to moles. In this article, we will use dimensional analysis to complete the unit conversion setup for converting a tablespoon of salt from grams to moles.

Understanding the Problem

The molecular weight of table salt, NaCl, is $58.5 , \text{g/mol}$. A tablespoon of salt weighs 6.37 grams. We need to convert this mass from grams to moles using dimensional analysis.

Setting Up the Unit Conversion

To set up the unit conversion, we need to identify the given information and the desired information. The given information is the mass of salt in grams (6.37 g) and the molecular weight of NaCl in g/mol (58.5 g/mol). The desired information is the number of moles of NaCl.

We can set up the unit conversion using the following equation:

A×BC=moles NaClA \times \frac{B}{C} = \text{moles NaCl}

Where:

  • A is the mass of salt in grams (6.37 g)
  • B is the molecular weight of NaCl in g/mol (58.5 g/mol)
  • C is the desired unit (moles)

Completing the Unit Conversion

To complete the unit conversion, we need to cancel out the units of measurement. We can do this by multiplying the given information by the reciprocal of the desired unit.

6.37 g×1 mol58.5 g=moles NaCl6.37 \, \text{g} \times \frac{1 \, \text{mol}}{58.5 \, \text{g}} = \text{moles NaCl}

By canceling out the units of measurement, we are left with the desired unit (moles).

Solving for Moles

To solve for the number of moles, we can simplify the equation by multiplying the numbers.

6.37 g×1 mol58.5 g=6.3758.5 mol6.37 \, \text{g} \times \frac{1 \, \text{mol}}{58.5 \, \text{g}} = \frac{6.37}{58.5} \, \text{mol}

By simplifying the equation, we can find the number of moles of NaCl.

Calculating the Number of Moles

To calculate the number of moles, we can divide the mass of salt in grams by the molecular weight of NaCl in g/mol.

6.37 g58.5 g/mol=0.109 mol\frac{6.37 \, \text{g}}{58.5 \, \text{g/mol}} = 0.109 \, \text{mol}

By calculating the number of moles, we can find the desired information.

Conclusion

In this article, we used dimensional analysis to complete the unit conversion setup for converting a tablespoon of salt from grams to moles. We set up the unit conversion using the given information and the desired information, and then canceled out the units of measurement to find the desired unit (moles). By simplifying the equation and calculating the number of moles, we found the desired information. This unit conversion is essential in chemistry for solving problems involving different units of measurement.

Understanding Dimensional Analysis

Dimensional analysis is a technique used to convert units of measurement from one system to another. It involves setting up an equation with the given information and the desired information, and then canceling out the units of measurement to find the desired unit.

Key Concepts

  • Unit conversions are essential in chemistry for solving problems involving different units of measurement.
  • Dimensional analysis is a technique used to convert units of measurement from one system to another.
  • To set up a unit conversion, we need to identify the given information and the desired information.
  • To cancel out the units of measurement, we need to multiply the given information by the reciprocal of the desired unit.

Real-World Applications

Unit conversions are essential in chemistry for solving problems involving different units of measurement. Some real-world applications of unit conversions include:

  • Converting the mass of a substance from grams to moles.
  • Converting the volume of a substance from liters to milliliters.
  • Converting the temperature of a substance from Celsius to Kelvin.

Conclusion

In conclusion, unit conversions are essential in chemistry for solving problems involving different units of measurement. Dimensional analysis is a technique used to convert units of measurement from one system to another. By setting up the unit conversion and canceling out the units of measurement, we can find the desired unit. This unit conversion is essential in chemistry for solving problems involving different units of measurement.

References

  • "Chemistry: The Central Science" by Theodore L. Brown, H. Eugene LeMay, and Bruce E. Bursten.
  • "Chemistry: An Atoms First Approach" by Steven S. Zumdahl.

Glossary

  • Molecular weight: The mass of a molecule in grams per mole.
  • Dimensional analysis: A technique used to convert units of measurement from one system to another.
  • Unit conversion: The process of converting units of measurement from one system to another.

Additional Resources

  • "Chemistry: The Central Science" by Theodore L. Brown, H. Eugene LeMay, and Bruce E. Bursten.
  • "Chemistry: An Atoms First Approach" by Steven S. Zumdahl.
  • "Chemistry: The Molecular Science" by James E. Brady and Eric C. Baugher.
    The Molecular Weight of Table Salt: A Unit Conversion Setup - Q&A ====================================================================

Introduction

In our previous article, we discussed the molecular weight of table salt, NaCl, and how to complete the unit conversion setup using dimensional analysis. In this article, we will answer some frequently asked questions related to the molecular weight of table salt and unit conversions.

Q: What is the molecular weight of table salt?

A: The molecular weight of table salt, NaCl, is $58.5 , \text{g/mol}$.

Q: How do I convert a tablespoon of salt from grams to moles?

A: To convert a tablespoon of salt from grams to moles, you can use the following equation:

A×BC=moles NaClA \times \frac{B}{C} = \text{moles NaCl}

Where:

  • A is the mass of salt in grams (6.37 g)
  • B is the molecular weight of NaCl in g/mol (58.5 g/mol)
  • C is the desired unit (moles)

Q: What is dimensional analysis?

A: Dimensional analysis is a technique used to convert units of measurement from one system to another. It involves setting up an equation with the given information and the desired information, and then canceling out the units of measurement to find the desired unit.

Q: How do I set up a unit conversion?

A: To set up a unit conversion, you need to identify the given information and the desired information. You can then use the following equation:

A×BC=desired unitA \times \frac{B}{C} = \text{desired unit}

Where:

  • A is the given information
  • B is the given information
  • C is the desired unit

Q: What are some real-world applications of unit conversions?

A: Some real-world applications of unit conversions include:

  • Converting the mass of a substance from grams to moles.
  • Converting the volume of a substance from liters to milliliters.
  • Converting the temperature of a substance from Celsius to Kelvin.

Q: How do I calculate the number of moles of a substance?

A: To calculate the number of moles of a substance, you can use the following equation:

mass of substancemolecular weight of substance=number of moles\frac{\text{mass of substance}}{\text{molecular weight of substance}} = \text{number of moles}

Q: What is the difference between a mole and a gram?

A: A mole is a unit of measurement that represents 6.022 x 10^23 particles (atoms or molecules), while a gram is a unit of mass. One mole of a substance has a mass equal to its molecular weight in grams.

Q: How do I convert a mole of a substance to grams?

A: To convert a mole of a substance to grams, you can use the following equation:

number of moles×molecular weight=mass in grams\text{number of moles} \times \text{molecular weight} = \text{mass in grams}

Conclusion

In this article, we answered some frequently asked questions related to the molecular weight of table salt and unit conversions. We hope that this article has been helpful in understanding the concept of unit conversions and how to apply it in real-world situations.

References

  • "Chemistry: The Central Science" by Theodore L. Brown, H. Eugene LeMay, and Bruce E. Bursten.
  • "Chemistry: An Atoms First Approach" by Steven S. Zumdahl.
  • "Chemistry: The Molecular Science" by James E. Brady and Eric C. Baugher.

Glossary

  • Molecular weight: The mass of a molecule in grams per mole.
  • Dimensional analysis: A technique used to convert units of measurement from one system to another.
  • Unit conversion: The process of converting units of measurement from one system to another.
  • Mole: A unit of measurement that represents 6.022 x 10^23 particles (atoms or molecules).
  • Gram: A unit of mass.

Additional Resources

  • "Chemistry: The Central Science" by Theodore L. Brown, H. Eugene LeMay, and Bruce E. Bursten.
  • "Chemistry: An Atoms First Approach" by Steven S. Zumdahl.
  • "Chemistry: The Molecular Science" by James E. Brady and Eric C. Baugher.