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Step 1:I'll solve this step-by-step using precise LaTeX formatting:
Step 2:: Recall Avogadro's Number
N_{A} = 6.022 \times 10^{23} \text{ molecules/mole}
Avogadro's number represents the number of particles (molecules, atoms, etc.) in one mole of a substance.
Step 3:: Set Up the Calculation
\text{Number of molecules} = (1.5 \text{ moles}) \times (6.022 \times 10^{23} \text{ molecules/mole})
To find the number of molecules, multiply the number of moles by Avogadro's number.
Step 4:: Perform the Multiplication
\text{Number of molecules} = 9.033 \times 10^{23} \text{ molecules}
Final Answer
Key Insights: - Avogadro's number is constant for all substances - Multiplying moles by Avogadro's number converts to total number of molecules - Always maintain scientific notation for large numbers
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