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need some chem help? displacement?

A cylindrical bar of gold that is 1.5 inches high and 0.25 inches in diameter has a mass of 23.1984g, as determined on an analytical balance. An empty graduated cylinder is weighed on a triple beam balance and has a mass of 73.47g. After pouring a small amount of a liquid into the graduated cylinder, the mass is 79.16g. When the gold cylinder is placed in the graduated cylinder (the liquid covers the top of the gold cylinder), the volume indicated on the graduated cylinder is 8.5 mL. Assume that the temp. of the gold cylinder and the liquid are 86 degrees F. If the density of the liquid decreases by 1.0% for each 10 degrees C rise in temp. (over the range of 0 to 50 degrees C), determine:

the density of the gold at 86 degrees F and the density of the liquid at 40 degrees F.

answer both independently

Vg ≈ π((2.54 cm/in)^3)(1.5 in)(0.125 in)^2
Vg ≈ 1.206597 cm^3 ≈ 1.2 ml
ρg ≈ 19.22630 g/cm^3 ≈ 19 g/cm^3

Ml ≈ 79.16g – 73.47 g ≈ 5.69 g
Vl ≈ 8.5 ml – 1.206597 ml ≈ 7.293403 ml @ 86°F
ρl ≈ 0.7801571 g/cm^3 ≈ 0.78 g/cm^3 @ 86°F
ρl @ 40°F ≈ (0.7801571 g/cm^3) / 0.99^(5*4.6/9)
ρl @ 40°F ≈ 0.8004543 g/cm^3 ≈ 0.80 g/cm^3

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