Interest in Formula for Calculating Alloy Density Still Keen

Folks,

The technique to calculate density of an alloy still attracts interest about a year after I first discussed it. Although I am pleased to share my Excel software that calculates solder alloy densities, being an educator, I can't help but want to share the fundamentals of how to solve this problem. A simple explanation follows&thanks to my Indium colleague Bob Jarrett for this approach.

Say you want to calculate the density of an alloy of 60% by weight tin (Sn) and 40% lead (Pb). The density of tin is Dsn = 7.29 g/cc and that of lead Dpb = 11.34 g/cc. Let's say you make a 100 g sample of this alloy, 60 g will be Sn, 40 g will be Pb. The total volume of the alloy will be 60 g Sn/Dsn + 40 g Pb/Dpb = 60/7.29 + 40/11.34 = 8.23 cc + 3.53 cc = 11.76 cc. The density of the alloy is its mass (100g) divided by its volume (11.76 cc) or 100/11.76 g/cc = 8.50 g/cc.

In general then, the equation to calculate density is 1/Dalloy = Mass Fraction Metal 1/Dmetal 1 + Mass Fraction Metal 2/Dmetal 2. The equations continues for metals 3, 4 etc.

Cheers,

Dr. Ron

Posted by Dr. Ron Lasky on January 18th, 2007 at 3:17 PM

Comments (add your comment)

  1. André Verhecken:

    Dear Dr Ron,
    I'm interested in the density of (archaeological)alloys, and I find your explanation very interesting. However, I always thought that during alloy formation some shrink or expansion would/can occur, so that the total volume does not equal the sum of the fraction volumes. If this is the case, your calculation is not absolutely exact. Or was I wrong ?
    André

  2. Snehal Jani:

    Dear Dr Ron,
    i m interested to calculate density of intermetallic coumpound Fe2CrAl. Can i used same method for this coumpound?

  3. Dindial Sookhoo:

    Dear Doc,

    We use (WET WEIGHT/DRY WEIGHT x 2307.454)-2088.136 TO CALCULATE THE DENSITY OF SMELTED RAW GOLD. COULD YOU PLEASE EXPLAIN HOW THIS WAS ARRIVED AT.

    GUYANA GOLD BOARD
    GUYANA, SOUTH AMERICA.

  4. Milind:

    How to find contain of material in alloy, when we know materials specific gravity and alloys gravity as well as wieght ?
    Can you help on this

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