Calculate the temperature at which each of the following reactions becomes spontaneous.
PCl5(g) equilibrium reaction arrow PCl3(g) + Cl2(g)
This reaction is blank at blank K.

To calculate the temperature at which a reaction becomes spontaneous, we use the Gibbs free energy equation:

\[
\Delta G = \Delta H - T \Delta S
\]

A reaction is spontaneous when \( \Delta G < 0 \). At the temperature where the reaction becomes spontaneous, \( \Delta G = 0 \), so:

\[
0 = \Delta H - T \Delta S
\]

This simplifies to:

\[
T = \frac{\Delta H}{\Delta S}
\]

Where:
- \( \Delta H \) is the enthalpy change of the reaction.
- \( \Delta S \) is the entropy change of the reaction.
- \( T \) is the temperature (in Kelvin).

### Steps:
1. Find \( \Delta H \) and \( \Delta S \) for the reaction \( \text{PCl}_5(g) \rightarrow \text{PCl}_3(g) + \text{Cl}_2(g) \).
2. Use the equation \( T = \frac{\Delta H}{\Delta S} \).

Could you provide the values for \( \Delta H \) and \( \Delta S \), or would you like me to look them up?

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Would you like details or have any questions on this process?  
Here are 5 related questions to explore further:

1. What is the difference between endothermic and exothermic reactions?
2. How does entropy affect the spontaneity of a reaction?
3. Why does \( \Delta G \) need to be negative for a reaction to be spontaneous?
4. What other factors can influence the spontaneity of a chemical reaction?
5. How do you calculate \( \Delta G \) at non-standard conditions?

**Tip**: For reactions that involve gases, remember that increasing temperature generally increases the entropy (\( \Delta S \)) of the system.

Calculate the temperature at which each of the following reactions becomes spontaneous. PCl5(g) equilibrium reaction arrow PCl3(g) + Cl2(g) This reaction is blank at blank K.

Discover how to calculate the temperature at which the reaction PCl5(g) → PCl3(g) + Cl2(g) becomes spontaneous using the Gibbs free energy equation. This step-by-step solution explores thermodynamic concepts, such as Gibbs free energy and entropy, suitable for college-level chemistry students.

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