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0.5 mole of triatomic gas contains atoms...

0.5 mole of triatomic gas contains ____________________atoms.

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To find the number of atoms in 0.5 moles of a triatomic gas, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Concept of Moles**: - One mole of any substance contains Avogadro's number of entities (atoms, molecules, etc.), which is approximately \(6.02 \times 10^{23}\). 2. **Identify the Type of Gas**: - The gas in question is a triatomic gas, meaning each molecule of the gas contains 3 atoms. 3. **Calculate the Number of Atoms in One Mole**: - Since one mole of a triatomic gas contains 3 atoms per molecule, the total number of atoms in one mole is: \[ 3 \times 6.02 \times 10^{23} \text{ atoms} = 18.06 \times 10^{23} \text{ atoms} \] 4. **Calculate the Number of Atoms in 0.5 Moles**: - To find the number of atoms in 0.5 moles, we multiply the number of atoms in one mole by 0.5: \[ \text{Number of atoms in 0.5 moles} = 18.06 \times 10^{23} \times 0.5 \] - Performing the multiplication: \[ = 9.03 \times 10^{23} \text{ atoms} \] 5. **Final Result**: - Therefore, 0.5 moles of triatomic gas contains approximately \(9.03 \times 10^{23}\) atoms. ### Summary: 0.5 mole of triatomic gas contains approximately \(9.03 \times 10^{23}\) atoms. ---
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