Which of the following reaction is feasible?

Options

A. `Ba_((s))+K_(2)SO_(4(aq))toBaSO_(4(aq))+2K_((s))`
B. `Zn_((s))+2AgNO_(3(aq))toZn(NO_(3))_((aq))+2Ag_((s))`
C. `Mg(s)+Na_(2)SO_(4(aq))toMgSO_(4(aq))+2Na_((s))`
D. `Cu(s)+MgSO_(4(aq))toCuSO_(4(aq))+Mg_((s))`

Answer

To determine which of the given reactions is feasible, we need to analyze the oxidation and reduction potentials of the involved species. Here’s a step-by-step solution:

### Step 1: Identify the oxidation and reduction processes in each reaction.
- For each reaction, determine which species is being oxidized (losing electrons) and which is being reduced (gaining electrons).

### Step 2: Gather standard reduction potentials.
- Look up the standard reduction potentials (E°) for the involved species from the electrochemical series. This will help us understand the tendency of each species to undergo oxidation or reduction.

### Step 3: Calculate the oxidation potentials.
- The oxidation potential can be calculated by reversing the sign of the reduction potential. For example, if the reduction potential of a species is -0.76 V, its oxidation potential will be +0.76 V.

### Step 4: Compare the potentials.
- Compare the oxidation potential of the oxidizing agent with the reduction potential of the reducing agent. A reaction is feasible if the reduction potential of the species being reduced is greater than the oxidation potential of the species being oxidized.

### Step 5: Analyze each option.
1. **Option 1: Barium and Potassium**
- Barium (Ba) is oxidized from 0 to +2, and Potassium (K) is reduced from +1 to 0.
- E° for Ba: -2.90 V (oxidation potential +2.90 V)
- E° for K: -2.93 V (oxidation potential +2.93 V)
- Since K has a higher oxidation potential than Ba, this reaction is not feasible.

2. **Option 2: Zinc and Silver**
- Zinc (Zn) is oxidized from 0 to +2, and Silver (Ag) is reduced from +1 to 0.
- E° for Zn: -0.76 V (oxidation potential +0.76 V)
- E° for Ag: +0.80 V (reduction potential)
- Since Ag has a higher reduction potential than Zn's oxidation potential, this reaction is feasible.

3. **Option 3: Magnesium and Sodium**
- Magnesium (Mg) is oxidized from 0 to +2, and Sodium (Na) is reduced from +1 to 0.
- E° for Mg: -2.37 V (oxidation potential +2.37 V)
- E° for Na: -2.71 V (oxidation potential +2.71 V)
- Since Mg has a higher oxidation potential than Na, this reaction is not feasible.

4. **Option 4: Copper and Magnesium**
- Copper (Cu) is oxidized from 0 to +2, and Magnesium (Mg) is reduced from 0 to +2.
- E° for Cu: +0.34 V (reduction potential)
- E° for Mg: -2.37 V (oxidation potential +2.37 V)
- Since Cu has a higher reduction potential than Mg's oxidation potential, this reaction is feasible.

### Conclusion:
The feasible reaction is the one involving Zinc and Silver.

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