A solid weighs 4.8g in air, 2.8g in water and 3.2g in kerosene. Calculate the ratio of the density of the solid to that of kerosene
the weight change in the kerosene is the weight of kerosene displaced by the solid
if the solid were kerosene, its weight would be 1.6 g ... (4.8 - 3.2)
so the density ratio is ... 4.8 / 1.6
How did you get 1.6
To calculate the ratio of the density of the solid to that of kerosene, we need to compare the weights of the solid in air, water, and kerosene.
The weight of the solid in air is 4.8g.
The weight of the solid in water is 2.8g.
The weight of the solid in kerosene is 3.2g.
To calculate the density, we use the formula:
Density = mass/volume
Since the volume of the solid remains the same regardless of the medium it is placed in, we can compare the densities by comparing the masses.
The ratio of the density of the solid to that of kerosene can be calculated by dividing the weight of the solid in air by the weight of the solid in kerosene:
Density ratio = weight in air / weight in kerosene
= 4.8g / 3.2g
= 1.5
Therefore, the ratio of the density of the solid to that of kerosene is 1.5.
To calculate the ratio of the density of the solid to that of kerosene, we need to find the density of the solid and the density of kerosene first.
Density is defined as the mass of an object divided by its volume. We can use the following formula to find density:
Density = Mass / Volume
From the given information, we know the mass of the solid in air, water, and kerosene. We need to find the volume of the solid in order to use the density formula.
To find the volume of the solid, we can use the principle of buoyancy. When an object is submerged in a fluid, it experiences an upward buoyant force equal to the weight of the fluid displaced.
The difference in weight of the solid in air and in water represents the weight of the water displaced by the solid. Similarly, the difference in weight of the solid in air and in kerosene represents the weight of the kerosene displaced by the solid.
To calculate the volume of the solid, we can divide the weight of the fluid displaced by the density of the fluid. The weight of the fluid displaced is the difference in weight of the solid in air and in the respective fluid, and the density of the fluid can be looked up from a table or given.
Once we find the volume of the solid, we can substitute the mass and volume into the density formula to find the density of the solid.
Finally, to calculate the ratio of the density of the solid to that of kerosene, we can divide the density of the solid by the density of kerosene.
Let's go through the calculations step by step:
1. Calculate the volume of the solid in water:
Volume in water = (Mass in air - Mass in water) / Density of water
2. Calculate the volume of the solid in kerosene:
Volume in kerosene = (Mass in air - Mass in kerosene) / Density of kerosene
3. Calculate the density of the solid:
Density of the solid = Mass in air / (Volume in water + Volume in kerosene)
4. Calculate the ratio of the density of the solid to that of kerosene:
Ratio = Density of the solid / Density of kerosene
Substitute the given values into the formulas above and calculate each step to find the final answer.