High School

We appreciate your visit to How much heat energy is required to convert 98 1 g of liquid sulfur dioxide SO₂ at 200 K to gaseous SO₂ at 263 K. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

How much heat energy is required to convert 98.1 g of liquid sulfur dioxide (SO₂) at 200 K to gaseous SO₂ at 263 K?

The molar heat of vaporization of SO₂ is 24.9 kJ/mol, and the specific heat capacity of liquid SO₂ is 1.36 J g⁻¹ °C⁻¹.

Answer :

Final answer:

The heat energy required to convert 98.1 g of liquid sulfur dioxide at 200 K to gaseous SO₂ at 263 K is 46.832956 kJ.

Explanation:

To determine the heat energy required to convert liquid sulfur dioxide (SO₂) at 200 K to gaseous SO₂ at 263 K, we can use the equation:



Q = m × ΔHvap + m × Cp × ΔT



Where Q is the heat energy, m is the mass of the substance, ΔHvap is the molar heat of vaporization, Cp is the specific heat capacity, and ΔT is the change in temperature.



Let's calculate it step by step:



  1. Calculate the heat energy required for the phase change using the molar heat of vaporization:
    Q₁ = n × ΔHvap = m/M × ΔHvap
  2. Calculate the heat energy required for the temperature change using the specific heat capacity:
    Q₂ = m × Cp × ΔT
  3. Add the two heat energies together to get the total heat energy: Q = Q₁ + Q₂



Now let's plug in the values:



Mass of SO₂ = 98.1 g

Molar heat of vaporization of SO₂ = 24.9 kJ/mol

Specific heat capacity of liquid SO₂ = 1.36 J g⁻¹ °C⁻¹

Change in temperature = 263 K - 200 K = 63 K



First, calculate Q₁:

Q₁ = (98.1 g / 64.06 g/mol) * 24.9 kJ/mol = 38.11 kJ



Then, calculate Q₂:

Q₂ = 98.1 g * 1.36 J g⁻¹ °C⁻¹ * 63 K = 8722.956 J



Now, convert Q₂ to kJ:

Q₂ = 8722.956 J / 1000 = 8.722956 kJ



Finally, calculate the total heat energy:

Q = Q₁ + Q₂ = 38.11 kJ + 8.722956 kJ = 46.832956 kJ

Learn more about Heat energy conversion here:

https://brainly.com/question/37727993

#SPJ11

Thanks for taking the time to read How much heat energy is required to convert 98 1 g of liquid sulfur dioxide SO₂ at 200 K to gaseous SO₂ at 263 K. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada