What volume of silver metal 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 corresponds to a weight of 2500.0 g, we can use the formula: volume = mass/density. By substituting the given values (mass = 2500.0 g and density = 10.5 g/cm³), we find the volume to be approximately 238.1 cm³.

A (26250 cm³) YOUR ANSWER

This option represents an incorrect calculation. If we were to multiply the density of silver (10.5 g/cm³) by this volume, the resulting mass would far exceed 2500.0 g. Specifically, 26250 cm³ would yield a mass of 276,625 g, which is not relevant to the question.

B (238.1 cm³) CORRECT

This is the correct answer. Using the formula volume = mass/density, we find that the volume of silver required to weigh 2500.0 g is indeed 238.1 cm³ (2500.0 g / 10.5 g/cm³ = 238.1 cm³). This accurately represents the relationship between mass and density for silver.

C (0.0042 cm³) YOUR ANSWER

This choice is significantly too small for the mass in question. If we were to use this volume in the density formula, the resulting mass would only be approximately 0.0441 g, which is not close to 2500.0 g. Hence, this option is not feasible.

D (None of the above) YOUR ANSWER

This option is incorrect because option B provides the exact volume of silver that corresponds to the given mass of 2500.0 g. Therefore, the assertion that none of the choices are correct is false.

Conclusion

To determine the volume of silver that weighs exactly 2500.0 g, the density formula reveals that the correct volume is 238.1 cm³. The other options either miscalculate the relationship between mass and density or incorrectly assert that no valid answer exists. Thus, option B stands as the accurate choice.

What volume of silver metal 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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