Math  /  Algebra

QuestionConsider the following system at equilibrium: D(aq)+E(aq)2 F(aq)\mathrm{D}(\mathrm{aq})+\mathrm{E}(\mathrm{aq}) \rightleftharpoons 2 \mathrm{~F}(\mathrm{aq})
Classify each of the following actions by whether it causes a leftward shift, a rightward shift, or no shift in the direction of the net re Drag the appropriate items to their respective bins.
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Triple [D] and reduce [E] to one third
Decrease [E] Increase Triple both [E][E] and [F][F]
Increase [F] Inc出ase [D] Decrease [D] Decrease [F]
Leftward shift Rightward shift No shift

Studdy Solution

STEP 1

1. We are dealing with a chemical equilibrium system.
2. The equilibrium reaction is: D(aq)+E(aq)2 F(aq)\mathrm{D}(\mathrm{aq})+\mathrm{E}(\mathrm{aq}) \rightleftharpoons 2 \mathrm{~F}(\mathrm{aq}).
3. Le Chatelier's principle will be used to predict the shift in equilibrium.
4. Changes in concentration of reactants or products can cause shifts in the equilibrium position.

STEP 2

1. Understand Le Chatelier's principle.
2. Analyze the effect of changing concentrations on the equilibrium.
3. Classify each action based on its effect on the equilibrium.

STEP 3

Le Chatelier's principle states that if a dynamic equilibrium is disturbed by changing the conditions, the position of equilibrium shifts to counteract the change and re-establish equilibrium.

STEP 4

Analyze each action:
- **Triple [D] and reduce [E] to one third**: Increasing [D] will shift the equilibrium to the right (towards products) to consume the added D. Reducing [E] will shift the equilibrium to the left (towards reactants) to produce more E. The net effect depends on the relative magnitude of these changes, but typically, reducing a reactant has a stronger effect, causing a leftward shift.
- **Decrease [E]**: Reducing [E] shifts the equilibrium to the left to produce more E.
- **Increase [D]**: Increasing [D] shifts the equilibrium to the right to consume the added D.
- **Triple both [E] and [F]**: Increasing [E] shifts the equilibrium to the right to consume the added E. Increasing [F] shifts the equilibrium to the left to consume the added F. The net effect depends on the relative magnitude of these changes, but typically, increasing a product has a stronger effect, causing a leftward shift.
- **Increase [F]**: Increasing [F] shifts the equilibrium to the left to consume the added F.
- **Decrease [D]**: Reducing [D] shifts the equilibrium to the left to produce more D.
- **Decrease [F]**: Reducing [F] shifts the equilibrium to the right to produce more F.

STEP 5

Classify each action:
- **Leftward shift**: - Triple [D] and reduce [E] to one third - Decrease [E] - Triple both [E] and [F] - Increase [F] - Decrease [D]
- **Rightward shift**: - Increase [D] - Decrease [F]
- **No shift**: None of the actions result in no shift, as all involve changes in concentration that affect the equilibrium.
The classification of actions is complete.

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