What can be said about a reaction with AH= -890 kJ/mol and AS = -0.24
kJ/mol.K)?
A. It is always spontaneous.
B. It is never spontaneous.
C. It is spontaneous at 2000 K.
D. It is at equilibrium at 371 K.

Respuesta :

Answer:

It is spontaneous at 2000 K

Explanation:

ΔG = ΔH -TΔS

When ΔG =0 the reaction is neither spontaneous nor non spontaneous. At that point the temperature will be:

0 = -890 -T x -0.24

890 = -0.24 x T

T = 3708 K

If temperature is lower than 3708 K, that will push ΔG into negative territory. ΔG < 0, meaning the reaction will be spontaneous.

So at 2000 K is definitely spontaneous.

a and B are not correct because the T determine if it is spontaneous.

According to reaction with AH= -890 kJ/mol and AS = -0.24

kJ/mol.K then it will be It is spontaneous at 2000 K.

What is spontaneous?

The spontaneous process occurs when there is no additional input to the given system.

Calculation of spontaneous

It can be calculated by using the formula.

ΔG = ΔH - TΔS

where, ΔG = Gibbs free energy, ΔH = enthalpy, ΔS = entropy.

When ΔG will be equal to zero then reaction will be neither spontaneous nor non- spontaneous .

By putting the value of ΔG = 0 and

ΔG = ΔH - TΔS

0 = -890- T × -0.24

890 = -0.24T

T = 3708 K

It is known that if the value of temperature will be lower than 3708 K than reaction will be spontaneous.

Hence, at 2000 K will be spontaneous.

Therefore, the correct answer will be option (C).

To know more about spontaneous.

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