What is the density of iron if 28.5g of iron is added to a graduated cylinder containing 45.5mL of water, causing the water level to rise to the 49.1mL mark?

Rationale

The density of iron is 7.92 g/mL.

To determine the density of iron, we first find the volume of iron added by calculating the difference in water levels, which is 49.1 mL - 45.5 mL = 3.6 mL. Density is then calculated using the formula: density = mass/volume. Thus, the density of iron is 28.5 g / 3.6 mL, which equals approximately 7.92 g/mL.

A (0.63 g/mL) YOUR ANSWER

This density value is significantly lower than expected for iron, which typically has a density around 7.87 g/mL. The calculation does not align with the mass and volume given, indicating a misunderstanding of the density formula or incorrect calculations.

B (7.92 g/mL) CORRECT

This choice accurately reflects the calculation of density using the provided mass of iron (28.5 g) and the volume displaced (3.6 mL). Thus, this is the correct answer.

C (0.58 g/mL) YOUR ANSWER

This value is much lower than the actual density of iron and suggests a miscalculation. The density of 0.58 g/mL would not be consistent with the mass of iron provided, which indicates that the calculations leading to this choice are incorrect.

D (None of the above.) YOUR ANSWER

This option implies that the density of iron could not be determined from the given information. However, since we have calculated a valid density, this choice is incorrect as it overlooks the calculated density of 7.92 g/mL.

Conclusion

Density is a fundamental property of materials defined as mass per unit volume. In this case, the correct calculation provides a density of 7.92 g/mL for iron, confirming its characteristic density. The incorrect answers stem from either miscalculations or an unawareness of iron's typical density range. This question emphasizes the importance of accurate measurements and calculations in determining material properties.

What is the density of iron if 28.5g of iron is added to a graduated cylinder containing 45.5mL of water, causing the water level to rise to the 49.1mL mark?

The density of iron is 7.92 g/mL.

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