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

Rationale

7.92 g/mL

To calculate the density of iron, we first need to determine the volume of iron shot added to the water. The change in water level from 45.5 mL to 49.1 mL indicates that the iron shot displaced 3.6 mL of water. Density is then calculated using the formula density = mass/volume, which gives us 28.5 g / 3.6 mL = 7.92 g/mL.

A (0.63 g/mL) YOUR ANSWER

This value is significantly lower than the expected density of iron. It does not align with the mass and volume calculated from the given data. Iron typically has a density above 7 g/mL, so a density of 0.63 g/mL is not feasible for this material.

B (7.92 g/mL) CORRECT

This is the correct answer, as it is derived from the mass of iron (28.5 g) divided by the volume it displaces (3.6 mL). This calculation accurately reflects the known density of iron, which typically ranges from about 7.8 to 8.0 g/mL, making 7.92 g/mL a reasonable and correct result.

C (0.58 g/mL) YOUR ANSWER

Similar to choice A, this density is far too low for iron. A value of 0.58 g/mL does not match the physical properties of iron and suggests a misunderstanding of the mass and volume relationship in this context.

D (None of the above) YOUR ANSWER

This option suggests that the calculated density does not match any of the given values. However, since we have established that 7.92 g/mL is the correct density for the iron shot, this choice is incorrect.

Conclusion

Calculating the density of iron from the given mass and the volume displaced by the iron shot leads us to the value of 7.92 g/mL. This confirms that iron's density is consistent with its known physical properties, while the other options provided do not reflect the correct calculations or the characteristics of iron.

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

7.92 g/mL

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