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How many argon (Ar) atoms are there in 1.5 × 10^2 g of argon?

User MYJ World
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Final answer:

To determine the number of argon atoms in 1.5 × 102 g of argon, calculate the moles using the molar mass, and then multiply by Avogadro's number, yielding approximately 2.26 × 1025 argon atoms.

Step-by-step explanation:

To find out how many argon (Ar) atoms are present in 1.5 × 102 g of argon, we need to use the molar mass of argon and Avogadro's number. The molar mass of argon is approximately 39.948 g/mol, according to the periodic table.

First, we calculate the number of moles of argon in the given mass:

  • Number of moles = mass (g) / molar mass (g/mol)
  • Number of moles = 1.5 × 102 g / 39.948 g/mol
  • Number of moles = 3.755 moles (approximately)

Next, we use Avogadro's number to find the number of atoms:

  • Number of atoms = number of moles × Avogadro's number
  • Number of atoms = 3.755 moles × 6.022 × 1023 atoms/mol
  • Number of atoms = 2.26 × 1025 atoms (approximately)

Therefore, there are approximately 2.26 × 1025 argon atoms in 1.5 × 102 g of argon.

User Bart N
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