Q.
How far into outer space would 1 mole of donuts reach if stacked one atop another?
(assume each donut is 1" thick and assume the donuts are incompressible)
A.
1 mol donut x (6.022x10^23 donut / mol) x (1 in / donut) x (2.54cm / 1 in) x (1m / 100cm) x (1 light sec / 3.00x10^8m) x (1hr / 3600sec) x (1 day / 24hr) x (1 yr / 365.25 day) = 2 million light years
The next nearest solar system is about 4 light years way, so a mole of donuts could make about 500,000 stacks between here and Alpha Centauri B.
The radius of the of the milky way is about 50,000 light years and the Earth is sort of near the center so a mole of donuts would extend from the earth well beyond the edge of our galaxy. In fact, a mole of donuts would extend to the andromeda galaxy 2 million light years away.
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Q.
How many Homer Simpsons would it take to eat 1 mole of donuts at a rate of 1 donut per sec before the Sun burns out 5 billion years from now?
A.
(1 mole donut / 5x10^9 yr) x (6.022x10^23 donuts / mole) x (1 yr / 365.25 day) x (1 day / 24 hr) x (1 hr / 3600s) x (1 homer / (1 donut / sec)) = 4 million homers.
That's a lot of doh nuts... get it?
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Q.
If we assume 1 dunkin donuts restaurant can produce 5 donuts every 5 seconds per fryer and has 2 fryers and a building footprint of 1000 ft² and if we assume the LAND surface area of the Earth is 150x10^6 km², and every single square in of earth was covered in dunkin donuts, how long (in years) would it take to produce 1 mole of donuts?
A.
(1 mole donuts / 1 Earth) x (6.022x10^23 donuts / mole donuts) x (1 Earth / 150x10^6 km² land) x (1km / 1000m)² x (1m / 3.281ft)² x (1000 ft² / 1 DD) x (1 DD / (5x2 donuts / 5 sec) ) x (1hr / 3600sec) x (1 day / 24 hr) x (1yr / 365.25 day) = 6000 years.
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or.. you could modify Q4 and say this.. according to DD, they have about 10,700 stores worldwide. I we assume 25% of those actually cooks their own donuts.. then..
Q.
how long would it take for the current number of DD to cook 1 mole of donuts (same assumptions as previous problem)
A.
(1 mole donuts / (0.25 x 10,700 DD) x (6.022x10^23 donuts / mole donuts) x(1 DD / (5x2 donuts / 5 sec) ) x (1hr / 3600sec) x (1 day / 24 hr) x (1yr / 365.25 day) = 4 trillion years
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questions?