The reduction potential of hydrogen half cell will be negative if :

Options

A. `P(H_2) = 1 atm and [H^(+)] = 1.0 M`
B. `p(H_2)=2 atm and [H^(+)] = 1.0M`
C. `p(H_(2)= 2atm and [H(+)] = 2.0 M`
D. `p(H_(2)=1atm and [H^(+)] = 2.0M`

Explanation

To determine when the reduction potential of the hydrogen half-cell will be negative, we can follow these steps:

### Step 1: Understand the Reduction Reaction
The reduction reaction for hydrogen can be represented as:
\[ 2H^+ + 2e^- \rightarrow H_2 \]
This reaction indicates that hydrogen ions (H+) gain electrons to form hydrogen gas (H2).

### Step 2: Nernst Equation
...