# An aluminum bar suspended on a spring balance was immersed in the liquid; when the bar was completely immersed

An aluminum bar suspended on a spring balance was immersed in the liquid; when the bar was completely immersed, the reading of the balance decreased by 26%. What kind of liquid could it be?

To find the type of liquid in which the considered aluminum bar was immersed, we use the formula: Fa = 0.26Р (the Archimedes force is equal to the change in the weight of the aluminum bar).

Fa = 0.26Р.

ρх * g * V = 0.26 * m * g.

ρх * g * V = 0.26 * ρa * V * g.

ρх = 0.26 * ρa.

Constants: ρa is the density of aluminum (ρa = 2700 kg / m3).

Calculation: ρх = 0.26 * ρa = 0.26 * 2700 = 702 kg / m3 (corresponds to the density of gasoline at 20 ºС, ρb = 680 – 800 kg / m3).

Answer: The aluminum bar could be immersed in gasoline.

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