how can you determine that a coin is not pure silver if you know the mass and volume of the coin?

Calculate the density as d = mass/volume and compare the measured value with that of pure metals.

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To determine whether a coin is not made of pure silver using its mass and volume, you can calculate its density and compare it with the known density of pure silver.

Here's how you can do it step by step:

1. Find the mass of the coin: Use a scale that measures in grams (g) to determine the weight of the coin. Make sure the scale is properly calibrated for accurate results.

2. Measure the volume of the coin: There are a few methods you can use to find the volume, depending on the shape of the coin. One simple way is to use the water displacement method. Fill a graduated cylinder with a known volume of water and record the initial volume. Then carefully submerge the coin completely in the water and measure the new volume. The difference between the final and initial volumes represents the volume of the coin.

3. Calculate the density of the coin: Divide the mass of the coin by its volume to find its density. The formula for density is:

Density = Mass / Volume

The unit for density is grams per cubic centimeter (g/cm³) or grams per milliliter (g/mL), as both mass and volume were measured in grams and cubic centimeters/milliliters respectively.

4. Compare the density: Look up the density of pure silver, which is approximately 10.5 g/cm³ or 10.5 g/mL. Compare the calculated density of the coin with the known density of pure silver. If the calculated density significantly deviates from the known density, it indicates that the coin is not made of pure silver.

Keep in mind that this method assumes the coin has a uniform composition and no additional coatings or impurities that may affect the density. If you suspect that the coin has an outer layer of another metal, you might need to perform more sophisticated tests, such as chemical or spectroscopic analysis, to determine its composition accurately.

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