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guajiro [1.7K]
3 years ago
7

The formula for density (D) is D = m/v, where m is mass and v is volume. What is the mass in grams (g) of a 45.0 cubic centimete

rs (cm³) block of silicon if the density of silicon is 2.336 grams per cubic centimeters (g/cm³)
A. the mass is 0.0519 g.
B. the mass is 19.3 g.
C. the mass is 45.0 g.
D. the mass is 105 g.
​
Chemistry
1 answer:
Nat2105 [25]3 years ago
3 0

Answer:

The answer is D. The mass is 105g.

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The diameter of the He He atom is approximately 0.10 nm nm . Calculate the density of the He atom in g/cm 3 g/cm3 (assuming that
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Density of the He atom = 12.69 g/cm³

Explanation:

From the information given:

Since 1 mole of an atom = 6.022x 10²³ atoms)

1 atom of He = 1  \ atom \times  (\dfrac{1  \ mole}{  6.022 \times  10^{23}  \ atoms}) \times ( \dfrac{4.003 \ grams}{  1  \ mole})

=6.647 \times  10^{-24} \  grams

The volume can be determined as  folows:

since the diameter of the He atom is approximately 0.10 nm

the radius of the He = \dfrac{0.10}{2} = 0.05 nm

Converting it into cm, we have:

0.05 nm \times  \dfrac{10^{-9} \  meters}{ 1  nm} \times \dfrac{ 1 cm }{10^{-2} \ meters}

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= \dfrac{4}{3}\pi  \times (5\times 10^{-9})^3

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