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skad [1K]
3 years ago
9

Question 8 Lithium is a solid phase of lithium still unknown to science. The only difference between it and ordinary lithium is

that Lithium forms a crystal with an fcc unit cell and a lattice constant . Calculate the density of Lithium . Round your answer to significant digit
Chemistry
1 answer:
trapecia [35]3 years ago
7 0

Answer:

the density of lithium will be equal to: 0.582 g/cm^3

Explanation:

We have the following data:

a = 430 pm = 4.3x10^-8 cm

molar mass of lithium MM = 6.97 g/mol

Since the cubic cell of lithium is cubic centered in the face, its value of Z will be equal to 4

Avogadro´s number AN = 6.022x10^23 particles/mol

using the following formula we will calculate the density of lithium:

d = (Z*MM)/(a^3*AN) = (4*6.97)/((4.3x10^-8)^3*(6.022x10^23)) = 0.582 g/cm^3

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Answer:

6 x 10⁶ g Fe

Explanation:

Step 1: Set up dimensional analysis

7 x 10²⁸ atoms Fe (1 mol Fe/6.02 x 10²³ atoms Fe)(55.85 g Fe/1 mol Fe)

Step 2: Multiply, divide, and cancel out units

atoms Fe and atoms Fe cancel out.

mol Fe and mol Fe cancel out.

We should be left with g Fe.

7 x 10²⁸/6.02 x 10²³ = 116279 mol Fe

116279(55.85) = 6.49 x 10⁶ g Fe

Step 3: Sig figs

There is only 1 sig fig in this problem.

6.49 x 10⁶ g Fe ≈ 6 x 10⁶ g Fe

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soldi70 [24.7K]

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3 years ago
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A student sets up the following equation to convert a measurement. The (?) Stands for a number the student is going to calculate
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Answer:

\text{0.30 cm}^{3} \times \left (\dfrac{10^{-2}\text{ m}}{\text{1 cm}}\right )^{3} = 3.0 \times 10^{-7} \text{ m}^{3}  

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0.030 cm³ × ? = x m³

You want to convert cubic centimetres to cubic metres, so you multiply the cubic centimetres by a conversion factor.

For example, you know that centi means "× 10⁻²", so  

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If we divide each side by 1 cm, we get 1 = (10⁻² m/1 cm).

If we divide each side by 10⁻² m, we get (1 cm/10⁻² m) = 1.

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We choose the former because it has the desired units on top.

The "cm" is cubed, so we must cube the conversion factor.

The calculation becomes

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