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Density Mass/Volume

O Iron
O Gold
Kourtney and her lab partner are measuring the density of various metals. They began by charting the mass and volume of each metal in the table below. Using the information, which
substance has the GREATEST density?
Silver
O Aluminum
Metal
Aluminum
Iron
Gold
Silver

Mass
5.08
5.08
50g
5.08

Volume
10 mL
2.5 mL
5.0 mL
20 mL
9 10
A
Finish

2 Answers

4 votes

Final answer:

Gold has the highest density at 10 g/mL when comparing the calculated densities of the given metals.

Step-by-step explanation:

To determine which substance has the greatest density, we can use the formula density = mass/volume. For the metals listed, we need to calculate these ratios using the given mass and volume.

  • Aluminum: Density = 5.08 g / 10 mL = 0.508 g/mL
  • Iron: Density = 5.08 g / 2.5 mL = 2.032 g/mL
  • Gold: Density = 50 g / 5.0 mL = 10 g/mL
  • Silver: Density = 5.08 g / 20 mL = 0.254 g/mL

Comparing the calculated densities, we can see that gold has the greatest density at 10 g/mL. This is consistent with the provided information that the density of gold is about 2.5 times that of iron and significantly higher than that of aluminum and silver.

User Nlogn
by
7.8k points
4 votes

Final answer:

After calculating the densities of all given metals, gold has the highest density at 10 g/mL, making it the most dense metal in the given data set.

Step-by-step explanation:

To determine which substance has the greatest density, we need to use the formula for density which is Density = Mass/Volume. From the given data, we can calculate density for each metal. Here, all masses are given as 5.08 grams, and the volumes are different.

  • Aluminum has a volume of 10 mL, so the density is 5.08 g/10 mL = 0.508 g/mL.
  • Iron has a volume of 2.5 mL, so the density is 5.08 g/2.5 mL = 2.032 g/mL.
  • Gold has a volume of 5.0 mL, so using the data that 1 cm³ of gold has a mass of 19.3 grams (and 1 cm³ is equivalent to 1 mL), we find the density of gold to be 50 g/5.0 mL = 10 g/mL.
  • Silver has a volume of 20 mL, so the density is 5.08 g/20 mL = 0.254 g/mL.

Comparing these densities, it's clear that gold has the highest density among the given choices.

User Sashi Kant
by
8.5k points