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buoyant force can be expressed as:

F(b) = W(air) - W(liquid) = d * g * v

where d is the density of the liquid, g is the acceleration of gravity and v is the volume of the immersed object (or the immersed part of the body if it floats). In this experiment the pan balances will compare masses in grams rather than weights. Since W=mg, the apparent change in mass when submerged is

m - m(apparent) = d(liquid) * v

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