How many molecules of aspirin C9H804 are there in 100.0 MG tablets of aspirin

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Question:

How many molecules of aspirin C9H804 are there in 100.0 MG tablets of aspirin

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Answer:

The number of molecules of aspirin that are in 100.0 mg tablets of aspirin is 3.34 × 10²⁰ molecules

First, we will determine the number of moles of aspirin present in the 100.0 mg tablets of aspirin.

Using the formula

?f=Number%5C%20of%5C%20moles%20%3D%20%5Cfrac%7BMass%7D%7BMolar%5C%20mass%7D

Molar mass of aspirin = 180.158 g/mol

From the question

Mass of aspirin = 100.0 mg = 0.1 g

∴ Number of moles of aspirin = ?f=%5Cfrac%7B0.1%7D%7B180

Number of moles of aspirin = 5.55068 × 10⁻⁴ mole

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Now, for the number of molecules of aspirin

Number of molecules = Number of moles × Avogadro’s constant

∴ Number of molecules of aspirin = 5.55068 × 10⁻⁴ × 6.022 × 10²³

Number of molecules of aspirin = 3.34 × 10²⁰ molecules

Hence, the number of molecules of aspirin that are in 100.0 mg tablets of aspirin is 3.34 × 10²⁰ molecules

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