1) A piece of paraffin wax has a density of 9g/cm3, mass of 900g, and a volume of 100cm3. If the wax was melted to the liquid state, approximately what would it's volume be?
Would this wax float or sink in water? Explain.
2) A tin box ( Mass of 80g, Volume of 100cm3, and Density of 0.8g/cm3) has a hole in each side. Would it continue to float? Explain.
1) If the wax was melted to the liquid state, its volume would be approximately 90cm3. The wax would float in water because it has a lower density than water (1g/cm3).
2) The tin box would continue to float because it has a lower density than water (0.8g/cm3). The holes in the sides would not affect its ability to float.
1) To find the volume of the paraffin wax in its liquid state, we need to know its density in that state. Unfortunately, the density of liquid paraffin wax is not provided. However, we can assume that the density of liquid paraffin wax is less than its solid state because most materials expand when they melt.
To find the approximate volume of the liquid paraffin wax, we can use the relationship between density, mass, and volume:
Density = Mass / Volume
Rearranging the formula, we have:
Volume = Mass / Density
Given that the mass of the wax is 900g and its density is 9g/cm^3, we can calculate:
Volume = 900g / 9g/cm^3 = 100 cm^3
Therefore, the volume of the wax in its liquid state would still be approximately 100 cm^3.
As for whether the wax would float or sink in water, we need to compare the density of the wax to the density of water. The density of water is approximately 1 g/cm^3.
Since the density of the solid paraffin wax is higher than that of water (9g/cm^3 vs. 1g/cm^3), the wax would sink in water. However, whether the liquid wax would float or sink would depend on its density in the liquid state. If the density of the liquid wax is less than 1g/cm^3, it would float. If it is greater than 1g/cm^3, it would sink.
2) The tin box has a mass of 80g and a volume of 100cm^3, giving it a density of 0.8g/cm^3.
If the tin box has holes in each side, it would most likely fill with water when submerged, which would increase its overall density. The increased density would cause the tin box to sink.
Therefore, if the holes allow water to enter the tin box, it would cease to float and sink instead.
1) To calculate the volume of the liquid paraffin wax, we need to consider the change in state from solid to liquid. When a solid melts, its volume typically expands. However, paraffin wax does not follow this trend. It actually experiences a slight decrease in volume when it liquefies.
To find the liquid volume, we can use the fact that density is equal to mass divided by volume (D = M/V). Rearranging the formula, we find that the volume is equal to the mass divided by the density (V = M/D). In this case, the mass of the paraffin wax is 900 grams and the density is 9 g/cm³. Plugging these values into the equation, we get:
V = 900g / 9g/cm³
V = 100 cm³
So, when the solid paraffin wax melts, its volume remains the same at approximately 100 cm³.
As for the question of whether the wax would float or sink in water, we need to compare the density of the wax with the density of water. If the density of an object is less than the density of the liquid it is placed in, it will float. If it is greater, it will sink.
The density of water is approximately 1 g/cm³, which is lower than the density of the paraffin wax. This means that the paraffin wax would sink in water.
2) In this case, the density of the tin box is 0.8 g/cm³ and it has holes in each side. The presence of the holes allows water to enter the box, changing its effective volume and potentially affecting its buoyancy.
To determine if the tin box will continue to float, we need to compare its overall density with the density of water. If the density of the box, including the water that enters through the holes, is less than the density of water, it will float. If it is greater, it will sink.
Since the density of the tin box is 0.8 g/cm³, which is less than the density of water (1 g/cm³), the empty tin box would typically float. However, the presence of the holes would allow water to fill the box, increasing its overall mass and changing its density.
If the total mass of the box, including the water it contains, is still less than the mass of the water it displaces (equal to the volume of the box times the density of water), then the box will float. If the total mass of the box and the water it contains is greater, the box will sink.
To make a definitive determination, you would need to know the volume of the holes and the amount of water that could fill the box through these holes. By comparing the total mass of the box and the water it contains with the mass of the water it displaces, you can determine if the box will continue to float.