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System, Surroundings, Intensive, Extensive Properties

Helmholtz ene...

Question

Helmholtz energy is function of $U, T$ and $S$ while gibbs free energy is a function of $H, T$ and $S$ .

A

True

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B

False

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Solution

The correct option is A True
Helmholtz free energy is defined as :
$F = U - T S$
while,
Gibbs free energy is defined as :
$G = H - T S$

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Similar questions

Q. Units of helmholtz free energy and gibbs free energy is different.

Q. Gibbs- Helmholtz equation is

Δ G = T Δ H - Δ S

.
If true 1 else 0.

Q. When a solid melts reversibly
[H-Enthalpy, G-Gibbs Free energy, E- internal energy, S- Entropy]

Gibbs-Helmholtz equation relates the free energy change to the enthalpy and entropy changes of the process as

(Δ G)_{P T} = Δ H - T Δ S

The magnitude of

Δ H

does not change much with the change in temperature but the entropy factor

T Δ S

changes appreciably.
Thus, spontaneity of a process depends very much on temperature.

For the reaction at

25^{\circ} C

X_{2} O_{4} (l) ⟶ 2 X O_{2}

Δ H = 2.0 K c a l

Δ S = 20 c a l K^{- 1}

the reaction would be:

Gibbs-Helmholtz equation relates the free energy change to the enthalpy and entropy changes of the process as

(Δ G)_{P T} = Δ H - T Δ S

The magnitude of

Δ H

does not change much with the change in temperature but the entropy factor

T Δ S

changes appreciably. Thus, spontaneity of a process depends very much on temperature.

For the reaction at

298 K

2 A + B ⟶ C,

Δ H = 100 K c a l

Δ S = 0.020 K c a l K^{- 1}

Δ H

Δ S

are assumed to be constant over the temperature range, at what temperature will the reaction become spontaneous?

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