QuestionA copper atom weighs $1.06 \times 10^{-22} \mathrm{~g}$ , and a penny weighs $2.5 \mathrm{~g}$ . Find moles of copper in a penny.

Studdy Solution

STEP 1

Assumptions1. The mass of a copper atom is $1.06 \times10^{-22} \mathrm{~g}$ . The mass of a penny is $.5 \mathrm{~g}$
3. The mass of1 mole of copper atoms is $63.83 \mathrm{~g}$

STEP 2

First, we need to find the number of moles in a penny. We can do this by dividing the mass of the penny by the mass of1 mole of copper atoms.
$Number\, of\, moles = \frac{Mass\, of\, the\, penny}{Mass\, of\,1\, mole\, of\, copper\, atoms}$

STEP 3

Now, plug in the given values for the mass of the penny and the mass of1 mole of copper atoms to calculate the number of moles.
$Number\, of\, moles = \frac{2.5 \mathrm{~g}}{63.83 \mathrm{~g}}$

STEP 4

Calculate the number of moles in a penny.
$Number\, of\, moles = \frac{2. \mathrm{~g}}{63.83 \mathrm{~g}} =0.039 \mathrm{~moles}$ The number of moles of copper atoms that have a mass equal to the mass of a penny is0.039 moles.

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