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Andrew [12]
3 years ago
7

Calculate the mass of 4.55x1024 molecules of sucrose

Chemistry
1 answer:
maxonik [38]3 years ago
7 0

Answer:

2584 g

Explanation:

The molecular formula for sucrose is C₁₂H₂₂O₁₁, which means its molar mass is 342.3 g/mol.

First we<u> convert molecules into moles</u> by using <em>Avogadro's number</em>:

  • 4.55x10²⁴ molecules ÷ 6.023x10²³ mol/molecules = 7.55 mol

Now we <u>convert moles of sucrose into grams</u>, using its<em> molar mass</em>:

  • 7.55 mol * 342.3 g/mol = 2584 g
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Answer: The heat needed to be removed to freeze 45.0 g of water at 0.0 °C is 15.01 KJ.

Explanation:

  • Firstly, we need to define the term <em>"latent heat"</em> which is the amount of energy required "absorbed or removed" to change the phase "physical state; solid, liquid and vapor" without changing the temperature.
  • Types of latent heat: depends on the phases that the change occur between them;
  1. Liquid → vapor, <em>latent heat of vaporization</em> and energy is absorbed.
  2. Vapor → liquid, latent heat of liquification and the energy is removed.
  3. Liquid → solid, <em>latent heat of solidification</em> and the energy is removed.
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  • Then the amount of energy needed to be removed to freeze 45.0 g of water at 0.0 °C is (ΔHf x no. of grams of water) = (333.55 J/g)(45.0 g) = 15009.75 J = 15.01 KJ.

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