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Question 1) The radius of a uranium atom is 149 pm. How many uranium atoms would

ID: 713852 • Letter: Q

Question

Question 1) The radius of a uranium atom is 149 pm. How many uranium atoms would have to be laid side by side to span a distance of 4.38 mm?

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Question 2) The mass of a single tungsten atom is 3.05×10-22 grams. How many tungsten atoms would there be in 258 milligrams of tungsten?

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Please write out all the steps clearly as possible, thanks!

Explanation / Answer

1)

diameter of uranium atom = 149*2 pm

= 298 pm

= 298*10^-12 m

= 2.98*10^-10 m

total distance = 4.38 mm

= 4.38*10^-3 m

Use:

Number of uranium atoms = total distance / diameter of uranium atom

= (4.38*10^-3 m) / (2.98*10^-10 m)

= 1.47*10^7

Answer: 1.47*10^7

2)

mass of 1 atom = 3.05*10^-22 g

total mass = 258 mg

= 258*10^-3 g

= 0.258 g

Use:

Number of atoms = total mass / mass of 1 atom

= 0.258 g / (3.05*10^-22 g)

= 8.46*10^20

Answer: 8.46*10^20

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