Calculating Moles of Fe in 400.0g of Iron

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SUMMARY

The discussion centers on calculating the number of moles and atoms of iron (Fe) in 400.0 grams. The initial calculation of 7.17 moles using the atomic weight of 55.8 g/mol was incorrect due to a lack of precision in the atomic weight and significant figures. The correct approach involves using a more accurate atomic weight for iron and applying Avogadro's number to find the total number of atoms. The importance of significant figures in the final answer is emphasized, as the original answer did not reflect the four significant digits of the given mass.

PREREQUISITES
  • Understanding of molar mass calculations, specifically for iron (Fe).
  • Knowledge of significant figures in scientific calculations.
  • Familiarity with Avogadro's number (6.022 x 1023).
  • Basic proficiency in unit conversion and proportions in chemistry.
NEXT STEPS
  • Research the precise atomic weight of iron (Fe) for accurate calculations.
  • Learn about significant figures and their importance in scientific measurements.
  • Study the concept of moles and how to convert between moles and atoms using Avogadro's number.
  • Practice additional problems involving molar mass and significant figures to reinforce understanding.
USEFUL FOR

This discussion is beneficial for chemistry students, educators, and anyone involved in quantitative analysis in chemistry, particularly those working with stoichiometry and atomic calculations.

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Homework Statement



How many Fe atoms and how many moles of Fe atoms are in 400.0 g of iron?



The Attempt at a Solution



Ok. i attempted to find the number of moles by using 400/55.8 to get 7.17 but that is wrong?! please tell me ehy this is wrong. i set up a proportion like this 55.8g Fe = 1 mol
all over 400.0 grams =x and i solved for that x. i know its wrong, but why?
 
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name_ask17 said:
Ok. i attempted to find the number of moles by using 400/55.8 to get 7.17 but that is wrong?! please tell me ehy this is wrong. i set up a proportion like this 55.8g Fe = 1 mol
all over 400.0 grams =x and i solved for that x. i know its wrong, but why?
Beats me. I would have said that's exactly what you're supposed to do. How do you know it's wrong? Were you given a different number as the solution?

By the way, the phrasing "How many moles of Fe atoms..." is peculiar. Normally one just asks "How many moles of Fe..." If you answer is wrong, then perhaps it is because your prof is making some unusual subtle distinction by including the word "atoms" in the second part of the question.
 


Perhaps your answer is not being counted as correct because 400.0g has four significant digits, and your answer should have four significant figures as well.
 


well i know its wrong because my online homework is marking it wrong. I am really confused because i even tried changing the number to 4 sigfigs instead of 3 but it was wrong again. What am i doing wrong?!
 


name_ask17 said:
well i know its wrong because my online homework is marking it wrong. I am really confused because i even tried changing the number to 4 sigfigs instead of 3 but it was wrong again. What am i doing wrong?!
Maybe you should try a more accurate number for the atomic weight of iron. Also, what about the number of atoms question?
 


you are right! thank you. i used a more specific number and i got the correct answer. and i just multuplied by avagadros number for atoms. thanks for all your help, everyone.
 


thanks!
 

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