What volume of silver will weigh exactly 2500.0 g? The density of silver is 10.5 g/cm³.

Rationale

238.1 cm³ of silver will weigh exactly 2500.0 g.

To find the volume of silver that weighs 2500.0 g, we can use the formula for density: density = mass/volume. Rearranging this gives us volume = mass/density. Substituting the values, we get volume = 2500.0 g / 10.5 g/cm³ = 238.1 cm³.

A (262.50 cm³) YOUR ANSWER

This choice is incorrect because if we calculate the mass using this volume with the density of silver, we find mass = 262.50 cm³ × 10.5 g/cm³ = 2766.25 g, which exceeds the required mass of 2500.0 g.

B (238.1 cm³) CORRECT

This choice is correct as calculated. The volume of 238.1 cm³ corresponds exactly to the mass of 2500.0 g when multiplied by the density of silver (10.5 g/cm³), confirming it is the accurate solution to the problem.

C (0.0042 cm³) YOUR ANSWER

This volume is far too small to correspond to a mass of 2500.0 g. When calculated with the density of silver, this volume yields a mass of only 0.0441 g (0.0042 cm³ × 10.5 g/cm³), which is significantly less than the required mass.

D (None of the above) YOUR ANSWER

This option is incorrect as one of the choices (B) is indeed the correct answer. Therefore, stating "none of the above" is misleading because there exists a valid option that meets the criteria.

Conclusion

The calculation of volume based on mass and density confirms that 238.1 cm³ of silver is the precise volume that corresponds to a mass of 2500.0 g. The other options either result in incorrect mass calculations or do not meet the mass requirement, thereby reinforcing the accuracy of option B.

What volume of silver will weigh exactly 2500.0 g? The density of silver is 10.5 g/cm³.

238.1 cm³ of silver will weigh exactly 2500.0 g.

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