I understand that you are confused about your calculations for the density of the unknown liquid and the unknown metal. I will explain the process and help you identify any mistakes.
Let's start with the density of the unknown liquid. You correctly calculated the mass of the liquid as 14.67g and used the formula: Density = Mass/Volume. However, there seems to be a mistake in your calculation. You used the mass of the liquid (14.67g) divided by the density of water (0.9970g/cm^3), instead of dividing it by the volume of the liquid. To calculate the volume of the liquid, you need to use the formula: Volume = Mass/Density. So the correct calculation should be:
Volume of liquid = 14.67g/0.9970g/cm^3 = 14.73cm^3.
Now let's move on to the density of the unknown metal. You correctly calculated the mass of the metal as 23.94g. However, there seems to be a misunderstanding in your calculation of the volume of the metal. You used the same formula as before: Volume = Mass/Density. However, the density you used was the density of water (0.9970g/cm^3) instead of the density of the metal. To calculate the volume of the metal, you need to rearrange the formula to: Volume = Mass/Density. The correct calculation should be:
Volume of metal = 23.94g/Density of metal.
Now, to find the density of the metal, divide the mass of the metal by its volume: Density of metal = Mass of metal/Volume of metal.
It is important to note that the density of the metal should not be the same as the density of water. Each substance has its own unique density, so the two values should not be equal.
To correct your calculations, you need to find the actual density of the metal by using its correct volume value. If you have the volume of the metal given in the problem or if you can find it using a different method, you can substitute that value into the formula to calculate the correct density.
I hope this clarifies your confusion and helps you understand the concept better. If you have any further questions or concerns, please let me know.