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The relationship between the free energy...

The relationship between the free energy change `(DeltaG)` and entropy change `(DeltaS)` at constant temperature `(T)` si

A

`DeltaG = DeltaH -T DeltaG`

B

`DeltaH = DeltaG +T DeltaS`

C

`T DeltaS = DeltaG +DeltaH`

D

`DeltaG =- DeltaH - T DeltaS`

Text Solution

AI Generated Solution

To find the relationship between the free energy change (ΔG) and the entropy change (ΔS) at constant temperature (T), we can use the Gibbs Helmholtz equation. Here’s the step-by-step solution: ### Step 1: Understand the Gibbs Helmholtz Equation The Gibbs Helmholtz equation provides a relationship between the change in free energy (ΔG), the change in enthalpy (ΔH), and the change in entropy (ΔS) at constant temperature (T). The equation is given by: \[ \Delta G = \Delta H - T \Delta S \] ...
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Gibbs-Helmoholtz equation relates the free energy change to the enthalpy and entropy changes of the process as (DeltaG)_(PT) = DeltaH - T DeltaS The magnitude of DeltaH does not change much with the change in temperature but the energy factor T DeltaS changes appreciably. Thus, spontaneity of a process depends very much on temperature. A reaction has value of DeltaH = 20 kcal at 200K , the reaction is spontaneous, below this temperature, it is not. the values DeltaG and DeltaS at 200K are, respectively

Gibbs-Helmoholtz equation relates the free energy change to the enthalpy and entropy changes of the process as (DeltaG)_(PT) = DeltaH - T DeltaS The magnitude of DeltaH does not change much with the change in temperature but the enrgy factor T DeltaS changes appreciably. Thus, spontaneity of a process depends very much on temperature. For the reaction at 298K, 2A +B rarr C DeltaH = 100 kcal and DeltaS = 0.020 kcal K^(-1) . If DeltaH and DeltaS are assumed to be constant over the temperature range, at what temperature will the reaction become spontaneous?

CENGAGE CHEMISTRY ENGLISH-THERMODYNAMICS-Exercises (Single Correct)
  1. The relationship between enthalpy and internal energy change is

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  2. The equilibrium state is attained when the reversible reaction is carr...

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  3. The relationship between the free energy change (DeltaG) and entropy c...

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  4. For the gaseous reaction involving the complete combustion of isobutan...

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  5. Entropy of system depends upon

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  6. For the gaseous reaction: N(2)O(4) rarr 2NO(2)

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  7. For the reversible process, the value of DeltaS is given by the expres...

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  8. For a process H(2)O(s) rarr H(2)O(l) at 273 K

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  9. i. At absolute zero the entropy of a perfect crystal is zero. This sta...

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  10. In which of the following process DeltaH and DeltaU are of same magnit...

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  11. Energy can transfer from system to surroundings as work if

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  12. The state of equilibrium refers to

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  13. For hypothetical reversible reaction 1//2A(2)(g) +3//2B(2)(g) rarr A...

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  14. If values of Delta(f)H^(Theta) of ICl(g),Cl(g), and I(g) are, respecti...

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  15. If S+O(2)toSO(2),DeltaH=-298.2 " kJ" " mole"^(-1) SO(2)+(1)/(2)O(2)t...

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  16. Under which of the following condition is the relation DeltaH = DeltaU...

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  17. Evaporation of water is

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  18. Which of the following reaction is endothermic?

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  19. Which of the following is an endothermic reaction?

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  20. Calculate heat of formation of KOH(s) using the following equations ...

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