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

Options

  1. Ap ( H ₂ )=1 ~atm and [ H ⁺ ]=1.0 M
  2. Bp ( H ₂ )=2 ~atm and [ H ⁺ ]=1.0 M
  3. Cp ( H ₂ )=2 ~atm and [ H ⁺ ]=2.0 M
  4. Dp ( H ₂ )=1 ~atm and [ H ⁺ ]=2.0 M

Correct answer

B. p ( H ₂ )=2 ~atm and [ H ⁺ ]=1.0 M

Step-by-step solution

2 H ⁺+2 e ⁻ H ₂( ~g ) E = E ^ -0.059 ( P _ H ₂ [ H ⁺ ]^2 ) (here E is -ve when P _ H ₂ > [ H ⁺ ]^2 ) = -0.0591 2 ₁₀ ( 2 1 )= -.0591 2 .3010= negative value

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