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Multiple Choice
Calculate the mass of 4.50 × 1025 O3 molecules.
A
74.7 g
B
1.20 × 103 g
C
3.59 × 103 g
D
224 g
Verified step by step guidance
1
Determine the molar mass of O3 (ozone) by adding the atomic masses of three oxygen atoms. The atomic mass of oxygen is approximately 16.00 g/mol, so the molar mass of O3 is 3 × 16.00 g/mol.
Use Avogadro's number, which is 6.022 × 10^23 molecules/mol, to convert the number of O3 molecules to moles. Set up the conversion factor as (1 mole/6.022 × 10^23 molecules).
Calculate the number of moles of O3 by dividing the given number of molecules (4.50 × 10^25) by Avogadro's number.
Multiply the number of moles of O3 by the molar mass of O3 to find the mass in grams. Use the formula: mass (g) = moles × molar mass (g/mol).
Ensure that the units cancel appropriately during the calculations, leaving you with the mass in grams as the final unit.