Respuesta :

The entropy change ΔS for the combustion of methane to carbon dioxide and liquid water is -242.6 J/mol.K

What is the Entropy in a Chemical system?

In a chemical system, Entropy (ΔS) is a quantitative measure of the variety of possible ways to disperse energy inside a chemical system.

  • In an isothermal process, entropy is determined as the quantity of heat transmitted to a system.

The chemical reaction for the combustion of methane can be expressed as:

[tex]\mathbf{CH_{4(g)} + 2O_{2(g)} \to CO_{2(g)} + 2H_2O_{(l)}}[/tex]

The standard entropy of the combustion is expressed as:

[tex]\mathbf{\Delta S^0 =(S^0 _{CO_{2}} + 2 \times S^0 _{H_{2}O} )+(-S^0 _{CH_{4}} -2 \times S^0 _{O_{2}} })[/tex]

Replacing the standard entropies of the compounds into the above equation, we have:

[tex]\mathbf{\Delta S^0 =(213.8 \8 \ J/mol.K + 2 \times69.92 \ J/mol.K )+(-186.16 \ J/mol.K -2 \times 205.04 \ J/mol.K})[/tex]

[tex]\mathbf{\Delta S^0 =-242.6 \ J/mol.K}[/tex]

Learn more about entropy here:

https://brainly.com/question/6364271