How many molecules are in a 1.0 g sample of acetic acid, CH3COOH? The molar mass of acetic acid is 60.06 g∙mol–1.

Question

How many molecules are in a 1.0 g sample of acetic acid, CH3COOH?  The molar mass of acetic acid is 60.06 g∙mol–1.

BlackTom AI · Accepted Answer

We start by identifying what the question asks: the number of molecules in a 1.0 g sample of acetic acid, CH3COOH, given its molar mass is 60.06 g/mol.
First, convert mass to moles: moles = mass / molar mass = 1.0 g / 60.06 g/mol ≈ 0.01664 mol.
Next, convert moles to molecules using Avogadro's number (6.022 × 10^23 molecules/mol): number of molecules = 0.01664 mol × 6.022 × 10^23 molecules/mol ≈ 1.002 × 10^22 molecules, which is about 1.0 × 10^22 molecules.
Now evaluate the answer options:
Option A: 2.5 × 10^21 molecules. This is roughly an order of magnitude smaller than the correct value. The discrepancy arises from using an incorrect mole-to-molecule scale or an erroneous mole amount, so this underestimates the actual count.
Option B: 1.0 × 10^22 molecules. This aligns with the calculation above, since 0.01664 mol contains about 1.0 × 10^22 molecules when multiplied by Avogadro's number. This is the correct ballpark and matches the expected result.
Option C: 2.0 × 10^22 molecules. This is about double the calculated value. It would imply either using a mass close to 2.0 g or misplacing a factor of two in the mole calculation, which is not consistent with 1.0 g and 60.06 g/mol.
Option D: 3.6 × 10^25 molecules. This is far too large for 1.0 g of a substance with molar mass around 60 g/mol; it would correspond to roughly 60,000 g (60 kg) of material or an overestimation by several orders of magnitude, indicating a faulty conversion.
In summary, the correct reasoning shows that 1.0 g of CH3COOH corresponds to about 0.0166 mol, which equals roughly 1.0 × 10^22 molecules. The other options deviate due to incorrect mole calculations, incorrect scaling, or misapplied constants.

How many molecules are in a 1.0 g sample of acetic acid, CH3COOH? The molar mass of acetic acid is 60.06 g∙mol–1.

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