Sodium carbonate can be made by heating sodium bicarbonate: 2NaHCO3(s) → Na2CO3(s) + CO2(g) + H2O(g) Given that ΔH° = 128.9 kJ/mol and ΔG° = 33.1 kJ/mol at 25°C, above what minimum temperature will the reaction become spontaneous under standard state condi

Respuesta :

Answer:

[tex]128^{o}C[/tex]minimum temperature will the reaction become spontaneous.

Explanation:

[tex]\Delta G=\Delta H-T \Delta S[/tex]

From the given,

[tex]\Delta G^{o}=33.1[/tex]

[tex]\Delta H^{o}=128.9kJ/mol[/tex]

[tex]Temperature\,change=25+273=98K[/tex]

[tex]33.1=128.9-298 \Delta S[/tex]

[tex]\Delta S=0.322kJ/mol.K[/tex]

[tex]\Delta G=\Delta H-T \Delta S[/tex]

[tex]0=128.9-T(0.322)=401K=218^{o}C[/tex]

Therefore, [tex]128^{o}C[/tex]minimum temperature will the reaction become spontaneous.