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Olin
1 month ago
13

The metallic radius of a potassium atom is 231 pm. What is the volume of a potassium atom in cubic meters?

Chemistry
1 answer:
Anarel [2.9K]1 month ago
8 0
1 pm equals 10^{-10} cm. Therefore, 230 pm can be converted to 2.3 × 10^{-8} cm. Atoms are spherical in shape, and the volume of a sphere can be calculated using the formula 4/3πr³. Consequently, the atom's volume is calculated as 4/3π(2.3 × 10^{-8})³. Evaluating this gives 4/3 × (3.142 × 12.167 × 10^{-24}), which simplifies to approximately 5.096 × 10^{-23} cm³. Since 1 m³ is equal to 1,000,000 cm³, we find that the volume of the atom is 5.096 × 10^{-29} m³.
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Zinc and magnesium metal each reacts with hydrochloric acid to make chloride salts of the respective metals, and hydrogen gas. a
Anarel [2989]
Total mass = 11.20 g
mass of H₂ = 0.6854 g
molar mass of H₂ = 2.016 g/mol
molar mass of Mg = 24.305 g/mol
molar mass of Zn = 65.39 g/mol
w-?

mass of Mg = wm
mass of Zn = (1-w)m

Zn + 2HCl → ZnCl₂ + H₂
mass of H₂, m₁ = (molar mass of H₂ * mass of Zn) / molar mass of Zn = molar mass of H₂ * (1-w) * m / molar mass of Zn

Mg + 2HCl → MgCl₂ + H₂
mass of H₂, m₂ = (molar mass of H₂ * mass of Mg) / molar mass of Mg = molar mass of H₂ * wm / molar mass of Mg

Total mass of H₂ = m₁ + m₂
mass of H₂ = molar mass of H₂ * (1-w) * m / molar mass of Zn + molar mass of H₂ * wm / molar mass of Mg = molar mass of H₂ * {(1-w)/molar mass of Zn + w/molar mass of Mg}

mass of H₂ = molar mass of H₂ * {(1-w)/molar mass of Zn + w/molar mass of Mg}

{(1-w)/molar mass of Zn + w/molar mass of Mg} = mass of H₂ / (molar mass of H₂ * m)

1/molar mass of Zn - w/molar mass of Zn + w/molar mass of Mg = mass of H₂ / (molar mass of H₂ * m)

w * (1/molar mass of Mg - 1/molar mass of Zn) = mass of H₂ / (molar mass of H₂ * m) - 1/molar mass of Zn

w = [mass of H₂ / (molar mass of H₂ * m) - 1/molar mass of Zn] / (1/molar mass of Mg - 1/molar mass of Zn)

w = 0.583 (58.3%)
5 0
1 month ago
What is the mass of a solution that has a density of 0.775 g/ml and a volume of 50.0ml?
Tems11 [2777]
Hello!

D = m / V

0.775 = m / 50.0

m = 0.775 * 50.0

m = 38.75 g
6 0
27 days ago
The accepted value for a quantity is 5.67 g. If the measured value is 5.89 g, what is the percent error?
Alekssandra [3086]
<span>Percent Error Formula = [ (Experimental Value - Theoretical Value) / Theoretical Value ] x 100%
3.88%</span>
3 0
1 month ago
Compaction is most significant as a lithification process for sedimentary rocks composed of sand-sized particles. True False
VMariaS [2998]

Response:

FALSE

Rationale:

Sedimentary rocks are defined as rocks formed through the processes of compaction and cementation. Initially, sediments derived from various locations must accumulate. Over time, these deposited sediments undergo substantial compaction due to the weight of the layers above. This process converts loose sediments into solid rock. This is the process through which sedimentary rocks, comprised of sand-sized particles, are formed. For instance, examples include Shale, Sandstone, and Mudstone.

Thus, both compaction and cementation are crucial in the formation of sedimentary rocks.

Therefore, the statement above is False.

8 0
1 month ago
A sample of solid sodium hydroxide, weighing 13.20 grams is dissolved in deionized water to make a solution. What volume in mL o
Anarel [2989]

Response:

702 mL

To elaborate:

Given the following:

Mass of sodium hydroxide = 13.20 g

Molarity of H₂SO₄ = 0.235 M

We're tasked with finding the volume of acid necessary to neutralize the sodium hydroxide solution

Step 1: Write the balanced reaction equation

The reaction between H₂SO₄ and NaOH can be summarized as follows:

2NaOH(aq) + H₂SO₄(aq) → Na₂SO₄(aq) + 2H₂O(l)

Step 2: Calculate the moles of NaOH

Moles are calculated by dividing mass by molar mass

The molar mass of NaOH is 40.0 g/mol

Hence;

Number of moles of NaOH = 13.20 g ÷ 40 g/mol

= 0.33 moles of NaOH

Step 3: Determine moles of H₂SO₄ that react

According to the balanced equation, 2 moles of NaOH react with 1 mole of H₂SO₄

Therefore, the ratio giving moles of H₂SO₄ = Moles of NaOH ÷ 2

= 0.33 moles ÷ 2

= 0.165 moles

Step 4: Find the volume of H₂SO₄

Molarity indicates the concentration of the solution in moles per liter

Molarity = Moles ÷ Volume

By rearranging the formula, we find volume = Moles ÷ Molarity

= 0.165 moles ÷ 0.235 M

= 0.702 L

= 702 mL

Thus, the volume of the 0.235 M H₂SO₄ acid solution required equals 702 mL
8 0
22 days ago
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