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To calculate the mass of tetraborane (\(B_4H_{10}\)) containing \(1.00 \times 10^{12}\) boron atoms, we need to follow these steps:

1. **Calculate the molar mass of \(B_4H_{10}\)**:
   - The atomic mass of boron (B) is approximately \(10.81 \, \text{g/mol}\).
   - The atomic mass of hydrogen (H) is approximately \(1.01 \, \text{g/mol}\).
   - Molar mass of \(B_4H_{10} = 4(10.81) + 10(1.01)\).
   \[
   = 43.24 + 10.1 = 53.34 \, \text{g/mol}
   \]

2. **Determine the number of moles of boron atoms in \(1.00 \times 10^{12}\) atoms**:
   - Avogadro's number states that \(6.022 \times 10^{23}\) atoms correspond to 1 mole.
   - Therefore, the number of moles of boron atoms is:
   \[
   \frac{1.00 \times 10^{12}}{6.022 \times 10^{23}} = 1.66 \times 10^{-12} \, \text{moles}
   \]

3. **Find the number of moles of \(B_4H_{10}\)**:
   - Since each molecule of \(B_4H_{10}\) contains 4 boron atoms, the number of moles of \(B_4H_{10}\) is:
   \[
   \frac{1.66 \times 10^{-12}}{4} = 4.15 \times 10^{-13} \, \text{moles}
   \]

4. **Calculate the mass of \(B_4H_{10}\)**:
   - Using the molar mass, the mass is:
   \[
   4.15 \times 10^{-13} \times 53.34 \, \text{g/mol} = 2.21 \times 10^{-11} \, \text{g}
   \]

Thus, the mass of tetraborane that contains \(1.00 \times 10^{12}\) boron atoms is \(2.21 \times 10^{-11}\) g.

Would you like further details or have any questions?

Here are five related questions to explore:
1. How do you calculate the number of atoms in a given mass of a compound?
2. What is Avogadro's number, and why is it important in chemistry?
3. How would the calculation change if we were given the number of hydrogen atoms instead?
4. How do you determine the molecular formula of a compound based on atomic composition?
5. What are the steps for converting between moles, molecules, and atoms?

**Tip:** When converting from atoms to moles, always use Avogadro's number for the conversion factor.

Calculate the mass of tetraborane (B4H10) that contains a trillion (1.00 × 10^12) boron atoms.

Learn how to calculate the mass of tetraborane (B4H10) that contains 1 trillion boron atoms, using stoichiometry and Avogadro's number. This detailed guide walks you through the steps of finding molar mass, determining the number of moles, and calculating the mass. Suitable for high school chemistry students.

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