An average cup of coffee contains about 125 mg of caffeine, C8H10N4O2. How many moles of caffeine are in a cup, and how many molecules of caffeine?
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Answer:
Explanation:
moles=mass/molar mass
= 125*10*-3/C8H10N4O2
=125*10*-3/12*8+10*1+14*4+16*2
= 125*10*-3/194
= 6.44*10*-4 moles
molecules= moles*Avogadro's number
= 6.44*10*-4*6.022*10*23
=3.8*10*20 molecules
Tried my best to explain this:
- moles formed are 6.44 multiplied by 10 to the power minus 4.
- molecules formed are 3.8 multiplied by 10 to the power 20.
- Multipled 10 raised to power minus 3 in the start because milli is 10*-3.
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