Question 33

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

To find the volume of silver that weighs 2500.0 g, we use the formula: volume = mass/density. Given the density of silver is 10.5 g/cm³, the calculation yields approximately 238.1 cm³.

A) 262.50 cm³

This option is incorrect because if we use the volume of 262.50 cm³ with the given density of 10.5 g/cm³, the mass would be 262.50 cm³ × 10.5 g/cm³ = 2766.25 g, which exceeds the required 2500.0 g.

B) 238.1 cm³

This option is correct. Using the density formula, we calculate the volume as follows: volume = 2500.0 g / 10.5 g/cm³, which equals approximately 238.1 cm³. This aligns perfectly with the mass given in the question.

C) 0.0042 cm³

This option is incorrect as it represents an unrealistically small volume for 2500.0 g of silver. Calculating the mass for this volume using the density would yield only 0.0441 g, which is far below the specified weight.

D) None of the above

This option is incorrect because option B provides the correct calculation for the volume of silver that weighs 2500.0 g. Therefore, there is a valid response among the options.

Conclusion

The correct answer is definitively option B, as it accurately reflects the calculation based on the mass and density of silver. Options A and C miscalculate the relationships between weight and volume, while D incorrectly dismisses the valid choice provided. Thus, option B is the only one that correctly represents the required conditions.