how many moles is in 159.80 ar

Lussy04

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22-01-2025

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How Many Moles Are in 159.80 g of a Substance?

This question can't be answered definitively without knowing the molar mass of the substance. The number of moles (n) in a given mass (m) is calculated using the formula:

n = m / M

Where:

• n = number of moles
• m = mass of the substance in grams (159.80 g in this case)
• M = molar mass of the substance in grams per mole (g/mol)

The molar mass is the mass of one mole of a substance. It's determined by adding up the atomic masses of all the atoms in the substance's chemical formula. For example:

• Water (H₂O): The molar mass is approximately 18.015 g/mol (2 * 1.008 g/mol for Hydrogen + 1 * 15.999 g/mol for Oxygen).
• Carbon Dioxide (CO₂): The molar mass is approximately 44.01 g/mol (1 * 12.011 g/mol for Carbon + 2 * 15.999 g/mol for Oxygen).

Let's illustrate with examples:

Example 1: Finding Moles of Water

If you had 159.80 g of water (H₂O), you would calculate the number of moles as follows:

1. Molar Mass of Water (M): 18.015 g/mol (as calculated above)
2. Mass of Water (m): 159.80 g
3. Number of Moles (n): n = 159.80 g / 18.015 g/mol ≈ 8.87 moles

Therefore, there are approximately 8.87 moles in 159.80 g of water.

Example 2: Finding Moles of a Different Substance

Let's say the substance is glucose (C₆H₁₂O₆).

1. Molar Mass of Glucose (M): Approximately 180.16 g/mol (6 * 12.011 g/mol for Carbon + 12 * 1.008 g/mol for Hydrogen + 6 * 15.999 g/mol for Oxygen)
2. Mass of Glucose (m): 159.80 g
3. Number of Moles (n): n = 159.80 g / 180.16 g/mol ≈ 0.89 moles

In this case, there are approximately 0.89 moles in 159.80 g of glucose.

In conclusion: To determine the number of moles in 159.80 g of a substance, you must first identify the substance to determine its molar mass. Then, use the formula n = m / M to calculate the number of moles. Remember that the molar mass is crucial for this calculation.