Question

If a doughnut contains 1.8 moles of sugar (c6h12o6), how many sugar molecules are in a box of one dozen doughnuts? a. 21.6 x 10^23 b. 518.4 c. 1.8 x 10^23 d. 130.032 x 10^23

Answer 1

To determine the number of sugar molecules in a box of one dozen doughnuts, we need to calculate the number of moles of sugar in one dozen doughnuts and then convert it to the number of sugar molecules.

One dozen doughnuts is equal to 12 doughnuts.
If each doughnut contains 1.8 moles of sugar, then the total moles of sugar in one dozen doughnuts would be:
1.8 moles/doughnut * 12 doughnuts = 21.6 moles of sugar

To convert moles to molecules, we use Avogadro's number, which states that 1 mole is equal to 6.022 x 10^23 molecules.

So, the number of sugar molecules in a box of one dozen doughnuts would be:
21.6 moles * 6.022 x 10^23 molecules/mole = 1.302 x 10^25 molecules

Therefore, the correct answer is d) 1.302 x 10^25.