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QuestionWhat is the mass in grams of a 55.86 mol55.86 \mathrm{~mol} sample of iron? Provide your answer to 4 significant figures.

Studdy Solution

STEP 1

Assumptions1. The molar mass of iron (Fe) is55.845 g/mol. . The given amount of iron is55.86 mol.
3. We are asked to find the mass in grams.

STEP 2

The formula to convert moles to grams is given byMass=Number of molestimesMolar massMass = Number\, of\, moles \\times Molar\, mass

STEP 3

Now, plug in the given values for the number of moles and the molar mass of iron to calculate the mass.
Mass=55.86 moltimes55.845 g/molMass =55.86\, mol \\times55.845\, g/mol

STEP 4

Calculate the mass of the iron.
Mass=55.86 moltimes55.845 g/mol=3121.741 gMass =55.86\, mol \\times55.845\, g/mol =3121.741\, g

STEP 5

We are asked to give the answer to4 significant figures. So, we round the mass to the nearest four significant figures.
Mass=3121.741 g≈3122 gMass =3121.741\, g \approx3122\, gThe mass of the55.86 mol sample of iron is approximately3122 g.

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