Help BIF Calculation thickness of annual layer of ore

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Discussion Overview

The discussion revolves around calculating the thickness of an annual layer of Banded Iron Formation (BIF) ore based on provided data, including deposition rates, composition, and densities. The scope includes homework-related mathematical reasoning and density calculations.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant requests assistance with calculating the volume of ore deposited annually, given the deposition rate and composition of the ore.
  • Another participant emphasizes the need to show prior work to facilitate assistance.
  • A participant expresses confusion about starting the calculation without mass and attempts to convert densities and percentages into a combined average density.
  • Another participant suggests a method of using a hypothetical mass of BIF to calculate volume, indicating that the mass variable will cancel out in the calculations.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the approach to take for the calculations, with some expressing confusion and others suggesting different methods.

Contextual Notes

Participants have not resolved the assumptions regarding the average density calculation or the steps needed to derive the thickness from the volume.

kndietz
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Please I need help ASAP! This is the problem:
Cowen cites the deposition rate of BIF in the Hamersley Basin of Australia as 30 million metric tonnes per year. He says the ore is 55% iron (volume); iron has a density of 8 g/cm^3. Assume the rest of the ore is made of silica, which has a density of 2.6 g/cm^3. Using these data, calculate the volume of ore that was deposited aannually at Hamersley (recall that density = mass per unit volume). The Hamersley Basic is roughly circular ((we were told to consider it cylinder)), about 400 km in diameter. How thick was an annual layer of ore?

My teacher said we need to get average density, then volume, finally thickness. But I still have no idea how to go about doing this homework!
 
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I'm going to move this for you, but you still need to show what you have done to solve this yourself.
 
I have tried to start calculating the density but I am stumped on how to do this without mass, and in order to find volume you need density...
I tried converting from cm^3 to m^3, .08 and .026, and then I tried to make this into the 55% and 45% they represent... 4.4 and 1.17, combined is 5.57.
I really don't know if this is the right place to start or not, or where to go from here.
 
Imagine you have 100kg of BIF. Can you calculate its volume from a given data?

More elegant approach calls for assuming you have m kg of BIF and solving for the volume/density using this unknown - you will find m cancels out in the end.
 

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