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What is the corrosion current density of iron in a 0.1 M hydrochloric acid solution at 25 °C, if the corrosion potential of the metal is -0.44 V vs. the standard hydrogen electrode and the Tafel slope is 120 mV/decade of current density?

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To calculate the corrosion current density of iron in a 0.1 M hydrochloric acid solution at 25 C, we will use the Tafel equation. The Tafel equation relates the corrosion potential  E_corr , the corrosion current density  i_corr , the Tafel slope  b , and the exchange current density  i_0 .The Tafel equation is given by:E_corr = E_0 +  b * log10 i_corr / i_0  Where:E_corr = corrosion potential  -0.44 V vs. SHE E_0 = equilibrium potential  standard potential of the redox reaction b = Tafel slope  120 mV/decade i_corr = corrosion current density  unknown i_0 = exchange current densityTo solve for i_corr, we need to know the value of E_0 and i_0. However, these values are not provided in the problem statement. Therefore, we cannot directly calculate the corrosion current density using the given information.In practice, the values of E_0 and i_0 can be determined experimentally or found in the literature for specific metal-electrolyte systems. Once these values are known, the Tafel equation can be used to calculate the corrosion current density.

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