The EMF of a cell formed by combining a particular electrode with standard calomel electrode is found to be 0.344 V and calomel electrode is found to act as cathode. If the same electrode is combined with standard hydrogen electrode, the EMF of the cell will be (Given standard reduction potential, `E_("calomel")^(@)=+0.244V`)

Options

A. 0.344V
B. 0.244 V
C. 0.588 V
D. 0.100 V

Explanation

To solve the problem step by step, we need to determine the EMF of the cell when the particular electrode is combined with the standard hydrogen electrode (SHE).

### Step 1: Understand the given information
- EMF of the cell with the calomel electrode (acting as cathode) = 0.344 V
- Standard reduction potential of the calomel electrode, \( E_{\text{calomel}}^{\circ} = +0.244 \, \text{V} \)

### Step 2: Identify the roles of the electrodes
Since the calomel electrode acts as the cathode in the first cell, we can denote:
- \( E_{\text{cathode}} = E_{\text{calomel}}^{\circ} = +0.244 \, \text{V} \)
- Let the potential of the particular electrode be \( E_{\text{anode}} \).

### Step 3: Use the EMF formula for the cell
The EMF of the cell can be expressed as:
\[ E_{\text{cell}} = E_{\text{cathode}} - E_{\text{anode}} \]
Substituting the known values:
\[ 0.344 \, \text{V} = 0.244 \, \text{V} - E_{\text{anode}} \]

### Step 4: Solve for \( E_{\text{anode}} \)
Rearranging the equation gives:
\[ E_{\text{anode}} = 0.244 \, \text{V} - 0.344 \, \text{V} \]
\[ E_{\text{anode}} = -0.100 \, \text{V} \]

### Step 5: Calculate the EMF when combined with SHE
The standard reduction potential of the standard hydrogen electrode (SHE) is:
\[ E_{\text{hydrogen}}^{\circ} = 0 \, \text{V} \]
When the particular electrode (acting as anode) is combined with SHE, the EMF of the cell will be:
\[ E_{\text{cell}} = E_{\text{cathode}} - E_{\text{anode}} = E_{\text{hydrogen}}^{\circ} - E_{\text{anode}} \]
Substituting the values:
\[ E_{\text{cell}} = 0 \, \text{V} - (-0.100 \, \text{V}) \]
\[ E_{\text{cell}} = +0.100 \, \text{V} \]

### Final Answer
The EMF of the cell when the particular electrode is combined with the standard hydrogen electrode is:
\[ \boxed{0.100 \, \text{V}} \]