I understand that you're having difficulty understanding the concept and calculations involved in determining the density of the metal. Don't worry, I'll break down the steps for you.
First, let's review the formula for density:
Density = Mass / Volume
Now, let's go through the calculations step-by-step:
1. Mass of the metal:
You correctly calculated the mass of the metal as 23.94g.
2. Mass of the water:
You correctly calculated the mass of the water as 16.91g.
3. Volume of the water:
You mentioned that you divided the mass of the water by the density of the water (0.9970g/cm^3). However, this is not the correct approach. To find the volume of the water, you need to divide its mass by its density. So, the correct calculation would be:
Volume of water = Mass of water / Density of water
= 16.91g / 0.9970g/cm^3
= 16.96cm^3 (rounded to two decimal places)
4. Volume of the metal:
To find the volume of the metal, you need to subtract the volume of water from the total volume of the flask. The total volume of the flask is the same as the volume of the water because the metal is fully submerged in the water. So, the volume of the metal can be calculated as:
Volume of metal = Volume of water (which you calculated correctly) = 16.96cm^3
5. Density of the metal:
Finally, you can calculate the density of the metal using the formula:
Density of metal = Mass of metal / Volume of metal
= 23.94g / 16.96cm^3
= 1.41g/cm^3 (rounded to two decimal places)
To answer your question about the density of water being the same as the density of the metal, no, they should not be the same. The density of water is typically around 1g/cm^3, while the density of the metal you calculated (1.41g/cm^3) is different. This difference indicates that the metal and water have different densities.
I hope this explanation helps clarify the concept and calculations for you. If you have any further questions, feel free to ask!