Do I always have to divide the top number by the bottom? In this case... 1mol divided by 174.1g of juglone?

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For the end of this problem I keep getting 2.71596.

 

Do I always have to divide the top number by the bottom? In this case... 1mol divided by 174.1g of juglone?

### Calculating Molar Mass I

Juglone, a dye known for centuries, is produced from the husks of black walnuts. It is also a natural herbicide (weed killer) that kills off competitive plants around the black walnut tree but does not affect grass and other noncompetitive plants. The formula for juglone is \( \text{C}_{10}\text{H}_{6}\text{O}_{3} \).

#### Tasks:
a. Calculate the molar mass of juglone.
b. A sample of \( 1.56 \times 10^{-2} \) g of pure juglone was extracted from black walnut husks. How many moles of juglone does this sample represent?

---

### Solution

#### a. Calculation of Molar Mass:
The molar mass is obtained by summing the masses of the component atoms. In 1 mole of juglone, there are 10 moles of carbon atoms, 6 moles of hydrogen atoms, and 3 moles of oxygen atoms:

- Carbon (C):
  \[
  10 \, \text{C}: \quad 10 \times 12.01 \, \text{g} = 120.1 \, \text{g}
  \]
- Hydrogen (H):
  \[
  6 \, \text{H}: \quad 6 \times 1.008 \, \text{g} = 6.048 \, \text{g}
  \]
- Oxygen (O):
  \[
  3 \, \text{O}: \quad 3 \times 16.00 \, \text{g} = 48.00 \, \text{g}
  \]

Mass of 1 mole of \( \text{C}_{10}\text{H}_{6}\text{O}_{3} \):
\[
120.1 \, \text{g} + 6.048 \, \text{g} + 48.00 \, \text{g} = 174.1 \, \text{g}
\]

The mass of 1 mole of juglone is 174.1 g, which is the molar mass.

#### b. Determination of Moles in a Sample:
The mass of 1 mole of this compound is 174.1 g; thus, \( 1
Transcribed Image Text:### Calculating Molar Mass I Juglone, a dye known for centuries, is produced from the husks of black walnuts. It is also a natural herbicide (weed killer) that kills off competitive plants around the black walnut tree but does not affect grass and other noncompetitive plants. The formula for juglone is \( \text{C}_{10}\text{H}_{6}\text{O}_{3} \). #### Tasks: a. Calculate the molar mass of juglone. b. A sample of \( 1.56 \times 10^{-2} \) g of pure juglone was extracted from black walnut husks. How many moles of juglone does this sample represent? --- ### Solution #### a. Calculation of Molar Mass: The molar mass is obtained by summing the masses of the component atoms. In 1 mole of juglone, there are 10 moles of carbon atoms, 6 moles of hydrogen atoms, and 3 moles of oxygen atoms: - Carbon (C): \[ 10 \, \text{C}: \quad 10 \times 12.01 \, \text{g} = 120.1 \, \text{g} \] - Hydrogen (H): \[ 6 \, \text{H}: \quad 6 \times 1.008 \, \text{g} = 6.048 \, \text{g} \] - Oxygen (O): \[ 3 \, \text{O}: \quad 3 \times 16.00 \, \text{g} = 48.00 \, \text{g} \] Mass of 1 mole of \( \text{C}_{10}\text{H}_{6}\text{O}_{3} \): \[ 120.1 \, \text{g} + 6.048 \, \text{g} + 48.00 \, \text{g} = 174.1 \, \text{g} \] The mass of 1 mole of juglone is 174.1 g, which is the molar mass. #### b. Determination of Moles in a Sample: The mass of 1 mole of this compound is 174.1 g; thus, \( 1
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