Help BIF Calculation thickness of annual layer of ore

Click For Summary
SUMMARY

The discussion focuses on calculating the thickness of the annual layer of Banded Iron Formation (BIF) deposited in the Hamersley Basin, Australia. Cowen cites a deposition rate of 30 million metric tonnes per year, with the ore composition being 55% iron and 45% silica. The average density of the ore is derived from the densities of iron (8 g/cm³) and silica (2.6 g/cm³). The calculation involves determining the volume of ore deposited annually and subsequently finding the thickness of the layer over a circular area with a diameter of 400 km.

PREREQUISITES
  • Understanding of density calculations (density = mass/volume)
  • Basic knowledge of volume formulas for cylindrical shapes
  • Familiarity with unit conversions (e.g., cm³ to m³)
  • Concept of percentage composition in mixtures
NEXT STEPS
  • Calculate the average density of a mixture of iron and silica
  • Learn how to compute the volume of a cylinder using its diameter and height
  • Explore unit conversion techniques for mass and volume
  • Practice solving problems involving percentage composition in materials
USEFUL FOR

This discussion is beneficial for students in geology, materials science, or environmental science, particularly those working on mineral resource calculations and density-related problems.

kndietz
Messages
2
Reaction score
0
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!
 
Physics news on Phys.org
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.
 

Similar threads

  • · Replies 12 ·
Replies
12
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 8 ·
Replies
8
Views
8K
Replies
3
Views
2K
Replies
10
Views
14K
  • · Replies 2 ·
Replies
2
Views
96K
Replies
1
Views
3K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
2
Views
2K