The densities of cork,lead,and water are 0.240,11.34,and 0.997 g/cm³ at 25 $\degree$C,respectively.If 20.0 grams of lead are placed inside an 85.0 cm³ piece of cork,what is the overall density and will it float on water?

Question

Quizplus · Accepted Answer

To find the overall density, we need to calculate the total mass and total volume of the cork, lead, and air displaced.

Total mass = mass of lead + mass of cork = 20.0 g + (85.0 cm^3 x 0.240 g/cm^3) = 41.4 g

Total volume = volume of lead + volume of cork = (20.0 g ÷ 11.34 g/cm^3) + 85.0 cm^3 = 86.8 cm^3

Since the cork floats on water, it must have a density less than that of water, which is 0.997 g/cm^3.

Overall density = total mass ÷ total volume = 41.4 g ÷ 86.8 cm^3 = 0.466 g/cm^3, which is less than the density of water.

Therefore, the correct answer is A, 0.466 g/cm^3, and yes, it will float.

The Densities of Cork,lead,and Water Are 0 °\degree° C,respectively

The Densities of Cork,lead,and Water Are 0 $\degree$ C,respectively