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Which one of the following would have approximately the same volume as 185 g of magnesium (d = 1.74 g/cm³)?

a. 90.4 gm aluminum (d=2.70g.cm³)
b. 560 g lead (d=aa/3g/cm³)
c. 837 g iron (d=7.87 g.cm³)
d. 708 g zinc (d=7.14 g/cm²)

User MyName
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1 Answer

5 votes

Final answer:

The substance that has approximately the same volume as 185 g of magnesium is iron (option c), with a calculated volume of 106.36 cm³, which is very close to the magnesium volume of 106.32 cm³.

Step-by-step explanation:

To find which substance has a volume approximately equal to 185 g of magnesium, we need to calculate the volume of magnesium and then compare this volume with the volumes of the other listed substances, adjusted for their densities.

First, calculate the volume of magnesium using its mass and density:

  • Volume of magnesium = mass / density = 185 g / 1.74 g/cm³ = 106.32 cm³ (approximately)

Now we calculate the volume that each of the other substances would have, using their masses and densities, and then see which one is closest to 106.32 cm³.

  • Volume of aluminum = 90.4 g / 2.70 g/cm³ = 33.48 cm³
  • Volume of iron = 837 g / 7.87 g/cm³ = 106.36 cm³
  • We cannot calculate the volume of lead without its correct density, as it is listed as 'aa/3 g/cm³'.
  • Volume of zinc = 708 g / 7.14 g/cm³ = 99.16 cm³

The substance with a volume closest to that of magnesium is iron (option c).

User Mahshid
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