Setting up linear equations for problems dealing with specific gravity.

AI Thread Summary
To solve for the gram-moles of lead (x) and tin (y) in the given problem, a system of equations based on mass and volume must be established. The total weight in air is 82 gram-moles, while the weight in oil, accounting for buoyancy, is 77 gram-moles. The specific gravities of lead and tin provide the necessary density values to relate mass and volume. A key equation involves the buoyant force, which can be expressed as the volume of the object multiplied by the density of the oil. Careful attention to algebraic calculations is essential to arrive at the correct values for x and y.
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I can not, for the life of me, figure out how to set the following up into a system of equations.

An object composed of x gram-mole of lead (specific gravity 11) and y gram-mole of tin(specific gravity 7) weights 82 gram-moles in air and 77 gram-moles in oil of specific gravity of 1/2. Find x and y.

Finding x and y is simple, if I could figure out the right way to set it up...:(
 
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I would start with a statement of mass addition,
and a statement of volume addition.
The buoyant Force (5gram)g = V*(.5gram/cm^3)g
gives you a way to write the total Volume.
 
I still can't get it to come out to the correct answer...
 
"correct answer" might be wrong.
maybe youmade an algebra mistake...
what have you done so far?
 
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