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P2B.3 The following data show how the standard molar constant-pressure heat capacity of sulfur dioxide varies with temperature: T/K 300 500 700 900 1100 1300 1500 Cp,m? / (J K?¹ mol?¹) 39.909 46.490 50.829 53.407 54.993 56.033 56.759 By how much does the standard molar enthalpy of SO?(g) increase when the temperature is raised from 298.15 K to 1500 K? Hint: Fit the data to an expression of the form of Cp,m?(T) = a + bT + c/T², note the values of the coefficients, then use the approach in Example 2B.2 to calculate the change in standard molar enthalpy.

          P2B.3 The following data show how the standard molar constant-pressure heat capacity of sulfur dioxide varies with temperature:

T/K 300 500 700 900 1100 1300 1500
Cp,m? / (J K?¹ mol?¹) 39.909 46.490 50.829 53.407 54.993 56.033 56.759

By how much does the standard molar enthalpy of SO?(g) increase when the temperature is raised from 298.15 K to 1500 K? Hint: Fit the data to an expression of the form of Cp,m?(T) = a + bT + c/T², note the values of the coefficients, then use the approach in Example 2B.2 to calculate the change in standard molar enthalpy.

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P2B.3 The following data show how the standard molar constant-pressure heat capacity of sulfur dioxide varies with temperature:

T/K 300 500 700 900 1100 1300 1500
Cp,m? / (J K?¹ mol?¹) 39.909 46.490 50.829 53.407 54.993 56.033 56.759

By how much does the standard molar enthalpy of SO?(g) increase when the temperature is raised from 298.15 K to 1500 K? Hint: Fit the data to an expression of the form of Cp,m?(T) = a + bT + c/T², note the values of the coefficients, then use the approach in Example 2B.2 to calculate the change in standard molar enthalpy.

Added by Deanna P.

Chemistry: Structure and Properties

Nivaldo Tro 2nd Edition

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Solved by Expert Madhur L

04/11/2023

Step 1

First, we need to fit the given data to an expression of the form: Cp(T) = a + bT + c/T^2. We can use a software or calculator to perform a regression analysis and find the coefficients a, b, and c. Show more…

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The following data show how the standard molar constant-pressure heat capacity of sulfur dioxide varies with temperature: T/K 300 500 700 900 1100 1300 1500 Cp,m⊖ / (J K⁻¹ mol⁻¹) 39.909 46.490 50.829 53.407 54.993 56.033 56.759 By how much does the standard molar enthalpy of SO₂(g) increase when the temperature is raised from 298.15 K to 1500 K? Hint: Fit the data to an expression of the form of Cp,m⊖(T) = a + bT + c/T², note the values of the coefficients, then use the approach in Example 2B.2 to calculate the change in standard molar enthalpy.

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