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Social ScienceFor the reactionCH4(g) + 2O2(g)CO2(g) + 2H2O(g)H° = -802.3 kJ and S° = -5.2 J/KThe maximum amount of work that could be done when 1.89 moles of CH4(g) react at 259 K, 1 atm is ________ kJ.
For the reaction
CH4(g) + 2O2(g)CO2(g) + 2H2O(g)
H° = -802.3 kJ and S° = -5.2 J/K
The maximum amount of work that could be done when 1.89 moles of CH4(g) react at 259 K, 1 atm is ________ kJ.
Expert Answer
Given : Change in enthalpy is -802.3 kJ, change in entropy is -5.2 J/K, temperature is 259 K and pressure is 1 atm.
Gibbs free energy is defined as the maximum amount of work done by a system at a constant temperature and pressure.
Therefore, it means that Gibb\\'s free energy will always be equal to the total amount of work done.
Gibb\\'s free energy is related to change in enthaly and change in entropy as follows.
Image Transcriptionclose
AG ΔΗ- TAS AG= Gibb's free energy where AH change in enthalpy AS= change in entropy T temperature
Now, we put the given values in ...
Image Transcriptionclose
AG -ΔΗ-TΔS =-802300J 259K x-5.2J/K =- 802300 J+1346.8 J = - 800953.2 J
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