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A 75 ft2 roll of aluminum foil costs $3.79. A 12"x12" pieces has a mass of 1.0 g. How much does a single atom of aluminum cost, in dollars? i need to show all my work i am so lost.

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We are given that 75 square feet costs \$3.79, so 1 square foot costs \$3.79 divided by 75, or just over 5 cents. We are also given the mass of one square foot as 1.0g, so from the atomic weight of aluminium, one mole costs approximately 27 times this, or \$1.36. One mole is $6.022\times10^{23}$ items (in this case atoms), so how much does an atom cost?

Adjust significant figures to taste.

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  • $\begingroup$ could you show me how you got the 27 times and $1.36. im sorry im so lost $\endgroup$
    – user70703
    Nov 27 '18 at 18:12
  • $\begingroup$ The atomic mass of aluminum is $26.98 \text{ g/mole }\approx 27$ $\endgroup$
    – MaxW
    Nov 28 '18 at 8:38
  • $\begingroup$ thanks for fixing the formatting, MaxW - I tried the "/$" but that kept messing up for me. $\endgroup$
    – sjb2812
    Nov 28 '18 at 8:50

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