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What is the corrosion current density of Zinc (Zn) metal in a galvanic couple with Copper (Cu) in a 0.1 M KCl electrolyte solution at 25 °C, given that the open circuit potential of the couple is -0.439 V and the polarization resistance is 625 Ω?

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To calculate the corrosion current density  i_corr  of Zinc in the galvanic couple with Copper, we can use the Stern-Geary equation:i_corr = B / R_pwhere B is the Stern-Geary constant and R_p is the polarization resistance.The Stern-Geary constant  B  can be calculated using the Tafel slopes  b_a and b_c  for the anodic and cathodic reactions:B =  b_a * b_c  /  2.3 *  b_a + b_c  For Zinc, the Tafel slopes are approximately b_a = 120 mV/decade and b_c = -120 mV/decade.Now, we can calculate the Stern-Geary constant  B :B =  120 * 120  /  2.3 *  120 + 120  B = 14400 /  2.3 * 240 B = 14400 / 552B  26.1 mVNow that we have the Stern-Geary constant  B , we can calculate the corrosion current density  i_corr  using the polarization resistance  R_p  given as 625 :i_corr = B / R_pi_corr = 26.1 mV / 625 To convert mV to V, divide by 1000:i_corr = 0.0261 V / 625 i_corr  4.176  10^-5 A/cmSo, the corrosion current density of Zinc in the galvanic couple with Copper in a 0.1 M KCl electrolyte solution at 25 C is approximately 4.176  10^-5 A/cm.

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