Question 34

The volume of silver metal that weighs exactly 2500.0 g is 238.1 cm³.

To find the volume of silver that weighs 2500.0 g, we apply the formula for density, which is density = mass/volume. Rearranging this gives us volume = mass/density. By substituting the values, we get volume = 2500.0 g / 10.5 g/cm³, resulting in approximately 238.1 cm³.

A) 26250 cm³

This option is incorrect because it significantly overestimates the volume of silver. When using the density of silver (10.5 g/cm³), the correct volume calculation shows that 2500.0 g of silver corresponds to a much smaller volume than 26250 cm³.

B) 238.1 cm³

This option is correct as it accurately represents the volume of silver that weighs 2500.0 g, calculated by dividing the mass (2500.0 g) by the density (10.5 g/cm³). The resulting volume confirms that 238.1 cm³ is the proper measurement for this mass of silver.

C) 0.0042 cm³

This option is incorrect as it greatly underestimates the volume of silver for a mass of 2500.0 g. A volume of 0.0042 cm³ would correspond to an unrealistically low mass, given the density of silver, and does not align with the calculations based on the provided density.

D) None of the above

This option is incorrect because one of the provided answers (B) correctly identifies the volume of silver that weighs 2500.0 g. Therefore, stating "none of the above" is not accurate since option B meets the criteria.

Conclusion

The correct answer, 238.1 cm³, is derived from the density of silver and the mass provided. All other options either overestimate or underestimate the volume based on the given density, making them invalid in this context. Thus, option B stands out as the only accurate calculation for the volume of silver at the specified weight.