Question

Convert 2.5 X 10^24 atoms of copper to grams of copper

Answer 1

2.5 X 10²⁴ atoms of copper is equivalent to 266.7g of Cu.

HOW TO CALCULATE MASS:

• The mass of a substance can be calculated by multiplying the number of moles of the substance by its molar mass. That is;

• mass of substance (g) = no. of moles (mol) × molar mass (g/mol)

• However, the number of moles of copper must first be calculated by dividing the number of atoms by Avogadro's number as follows:

• no. of moles of Cu = 2.5 X 10²⁴ ÷ 6.02 × 10²³

• no. of moles = 2.5/6.02 × 10²⁴-²³

• no. of moles = 0.42 × 10¹

• no. of moles = 4.2moles of copper.

• Molar mass of copper = 63.5g/mol

• Mass of copper = 4.2mol × 63.5g/mol

• Mass of copper = 266.7g

Therefore, 2.5 X 10²⁴ atoms of copper is equivalent to 266.7g of Cu.

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