How many helium atoms are there in a helium blimp containing 539  kg
  of helium?        
Express the number of helium atoms numerically.

To determine the number of helium atoms in a helium blimp, we will use the following steps:

### Step 1: Calculate the number of moles of helium
The molar mass of helium (\(M_{\text{He}}\)) is approximately 4.0026 g/mol. Since we are given 539 kg of helium, we first convert that to grams:
\[
539 \, \text{kg} = 539,000 \, \text{g}
\]
Now, calculate the number of moles of helium (\(n\)) using the formula:
\[
n = \frac{\text{mass of helium}}{\text{molar mass of helium}} = \frac{539,000 \, \text{g}}{4.0026 \, \text{g/mol}} = 134,692.65 \, \text{mol}
\]

### Step 2: Use Avogadro’s number to find the number of helium atoms
Avogadro's number (\(N_A\)) is \(6.022 \times 10^{23}\) atoms/mol. To find the total number of helium atoms, multiply the number of moles by Avogadro's number:
\[
\text{Number of atoms} = n \times N_A = 134,692.65 \, \text{mol} \times 6.022 \times 10^{23} \, \text{atoms/mol}
\]
\[
\text{Number of atoms} = 8.106 \times 10^{28} \, \text{atoms}
\]

Thus, the helium blimp contains approximately \(8.106 \times 10^{28}\) helium atoms.

Would you like further details or have any questions?

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Here are 5 follow-up questions to expand on this concept:
1. How does the molar mass affect the number of atoms in a substance?
2. How would the number of atoms change if the blimp contained a different gas like hydrogen?
3. What is Avogadro’s number, and why is it useful in chemistry?
4. How would you calculate the number of atoms if only a fraction of the helium’s mass is provided?
5. Can you relate this calculation to the volume of the helium in the blimp?

**Tip**: When performing unit conversions, always ensure that the units cancel out appropriately to avoid calculation errors.

How many helium atoms are there in a helium blimp containing 539 kg of helium? Express the number of helium atoms numerically.

Discover how to calculate the number of helium atoms in a 539 kg helium blimp using stoichiometry, mole concept, and Avogadro's number. This detailed solution includes unit conversions and scientific notation. Perfect for Grades 10-12 chemistry students.

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