Question

a vase is said to be solid platinum. it is found to displace 18.65 ml of water and has a mass of 400.0 g. could the vase be solid platinum? (density of platinum is 21.45 cm3 )

Answer 1

To determine if the vase is made of solid platinum, we calculate its density using the given information. The calculated density, which matches the density of solid platinum, suggests that the vase could be made of solid platinum.The calculated density is approximately 21.45 g/cm3.

Step-by-step explanation:

The question asks whether the vase could be made of solid platinum based on its displacement of water and mass. To determine if the vase is made of solid platinum, we can calculate its density using the given information. Density is calculated by dividing the mass of an object by its volume. In this case, the density of platinum is given as 21.45 cm3. However, the volume of the vase is not directly given, but we can calculate it using the displacement of water.

To find the volume of the vase, we need to subtract the initial volume of the water from the final volume of the water and vase together. The initial volume of water is zero (since there was no water in the vase before it was placed in), so the volume of the vase is equal to the final volume of water and vase together. Therefore, the volume of the vase is 18.65 ml.

Now we can calculate the density of the vase by dividing its mass (400.0 g) by its volume (18.65 ml converted to cm3). The calculated density is approximately 21.45 g/cm3. This matches the density of solid platinum, suggesting that the vase could indeed be made of solid platinum.

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