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A spontaneous reaction occurs when the change in Gibbs free energy (ΔG) is negative, indicating that the reaction proceeds without the need for external energy input. This can happen when the entropy (ΔS) of the system increases and/or the enthalpy (ΔH) decreases, resulting in a negative ΔG value.
the Gibbs free energy (G) of a system is equal to the enthalpy (H) minus the temperature (T) multiplied by the entropy (S). This equation is used to determine whether a reaction is spontaneous (ΔG < 0) or non-spontaneous (ΔG > 0) at a given temperature.
A reaction will be spontaneous at low temperatures if the decrease in enthalpy (change in heat content) of the reaction is greater than the decrease in entropy (measure of disorder) multiplied by the temperature. This can be represented by the equation ΔG = ΔH - TΔS, where ΔG is the change in Gibbs free energy, ΔH is the change in enthalpy, T is the temperature in Kelvin, and ΔS is the change in entropy.
A reaction will be spontaneous at 298 K if the Gibbs free energy change (ΔG) for the reaction is negative. This means that the reaction will proceed in the forward direction without requiring an external input of energy. The equation ΔG = ΔH - TΔS can be used to determine if a reaction is spontaneous at a given temperature, where ΔH is the change in enthalpy and ΔS is the change in entropy.
Conditions that are most likely to result in a spontaneous chemical reaction or process, based on the Gibbs free energy equation (ΔG = ΔH - TΔS), include when the change in enthalpy (ΔH) is negative (exothermic) and the change in entropy (ΔS) is positive. When ΔG is negative, the reaction will be spontaneous at the given temperature.
A high temperature could make a reaction spontaneous that was nonspontaneous at low temperature when the increase in entropy due to the reaction outweighs the increase in enthalpy. At higher temperatures, the TΔS term in the Gibbs free energy equation becomes more dominant, leading to a positive ΔG becoming negative, thus making the reaction spontaneous.
A spontaneous reaction occurs when the change in Gibbs free energy (ΔG) is negative, indicating that the reaction proceeds without the need for external energy input. This can happen when the entropy (ΔS) of the system increases and/or the enthalpy (ΔH) decreases, resulting in a negative ΔG value.
The reaction is spontaneous below 554.8/0.1975 K.
To determine the temperature at which the decomposition of KClO4 is spontaneous, you need to know the Gibbs free energy change (∆G) for the reaction. If ∆G is negative, the reaction is spontaneous. Use the equation ∆G = ∆H - T∆S, where ∆H is the enthalpy change, ∆S is the entropy change, and T is the temperature in Kelvin. Set ∆G to 0 and solve for T to find the temperature at which the decomposition becomes spontaneous.
The formation of liquid bromine is spontaneous when the Gibbs free energy change for the process is negative, which occurs when ΔG < 0. This means the temperature must be within the range where ΔG is negative, which typically corresponds to temperatures above the boiling point of bromine (~332K) where the entropy term dominates over the enthalpy term in the Gibbs free energy equation.
To determine the temperature range at which the decomposition of KClO4 is spontaneous, you would need the values for the standard Gibbs free energy change (ΔG°) and the equilibrium constant (K). By using the equation ΔG = -RTlnK and taking into account that ΔG = 0 for a reaction at equilibrium, you can rearrange to solve for the temperature range where decomposition is spontaneous.
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A reaction will be spontaneous at a given temperature if the Gibbs free energy change (ΔG) is negative. ΔG = ΔH - TΔS. As ΔH = -92 kJ/mol and ΔS = -0.199 kJ/(mol.K), plug these values into the equation along with the temperature to solve for ΔG. If ΔG is negative, the reaction will be spontaneous at that temperature.
All nuclear decay is spontaneous.
the Gibbs free energy (G) of a system is equal to the enthalpy (H) minus the temperature (T) multiplied by the entropy (S). This equation is used to determine whether a reaction is spontaneous (ΔG < 0) or non-spontaneous (ΔG > 0) at a given temperature.
Increasing the temperature makes a reaction spontaneous in some situations.
The reaction will be spontaneous at high temperatures (T) where TΔS > ΔH, according to Gibbs free energy equation, ΔG = ΔH - TΔS. At high enough temperatures, the TΔS term can outweigh the positive ΔH term, leading to a negative ΔG value and a spontaneous reaction.