52.0 g of licl represents ______ moles of licl

General
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52.0 g of licl represents ______ moles of licl.

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Calculation of Moles from Mass

Answer: To find out how many moles 52.0 grams of lithium chloride (LiCl) represent, we use the formula that involves the molar mass of the compound. The formula for converting grams to moles is:

\text{Number of moles} = \frac{\text{Mass in grams}}{\text{Molar mass}}

Step-by-Step Calculation:

1. Determine the Molar Mass of LiCl

  • Atomic Mass of Lithium (Li): Lithium has an atomic mass of approximately 6.94 g/mol.
  • Atomic Mass of Chlorine (Cl): Chlorine has an atomic mass of approximately 35.45 g/mol.

Now, to find the molar mass of LiCl, we add the atomic masses of lithium and chlorine:

\text{Molar Mass of LiCl} = \text{Atomic Mass of Li} + \text{Atomic Mass of Cl}
\text{Molar Mass of LiCl} = 6.94\ \text{g/mol} + 35.45\ \text{g/mol} = 42.39\ \text{g/mol}

2. Use the Formula to Calculate the Number of Moles

Now, we have the mass of LiCl, which is 52.0 grams, and the molar mass of LiCl, which we calculated as 42.39 g/mol. Plug these values into the formula:

\text{Number of moles of LiCl} = \frac{52.0\ \text{g}}{42.39\ \text{g/mol}}

3. Perform the Calculation

Perform the division to find the number of moles:

\text{Number of moles of LiCl} = \frac{52.0}{42.39} \approx 1.23

Therefore, 52.0 grams of lithium chloride (LiCl) represent approximately 1.23 moles of LiCl.

Real-world Examples to Understand the Concept

  1. Recipe Analogy: Imagine you’re baking cookies and the recipe calls for a cup of sugar, which weighs about 200 grams. If you only have a scale and not a measuring cup, you can use the conversion factor (200 grams = 1 cup) to determine how much sugar you need by weight. Similarly, in chemistry, we use the molar mass (like a conversion factor) to switch between grams and moles.

  2. Gas Filling Comparison: When filling a balloon with helium, we consider the amount of helium in terms of moles, not grams, due to the gas’s properties. This approach helps in adjusting the volume and pressure. Similarly, understanding the number of moles in substances like LiCl helps chemists understand reactions at a molecular level rather than just by weight.

Summary: To find the number of moles from a given mass of a substance, identify the molar mass by adding up the atomic masses of the constituent elements. Then, use the formula (\frac{\text{mass}}{\text{molar mass}}) to determine the number of moles. This method is essential in chemistry to understand and predict the outcomes of chemical reactions accurately. The example illustrated with lithium chloride demonstrates how 52.0 grams convert into roughly 1.23 moles using these principles.

If you have any more questions or need further clarifications, feel free to ask! @anonymous4