Question #49807

Calculate the e.m.f. of a copper-zinc voltaic cell working with the following electrolytes 0.001 M CuSO4 and 0.001 M ZnSO4.?

Expert's answer

Question #49807, Chemistry, Other

Calculate the e.m.f. of a copper-zinc voltaic cell working with the following electrolytes 0.001 M CuSO4 and 0.001 M ZnSO4.?

Answer:


EMF=E1E2EMF = E_1 - E_2EMF=ECu2+/CuEZn2+/ZnEMF = E_{Cu2+/Cu} - E_{Zn2+/Zn}ECu2+/Cu=ECu2+/Cu+RTnFlnaCu2+=0.34+RTnFln0.001E_{Cu2+/Cu} = E_{Cu2+/Cu}^* + \frac{RT}{nF} \ln a_{Cu2+} = 0.34 + \frac{RT}{nF} \ln 0.001EZn2+/Zn=EZn2+/Zn+RTnFlnaZn2+=0.76+RTnFln0.001E_{Zn2+/Zn} = E_{Zn2+/Zn}^* + \frac{RT}{nF} \ln a_{Zn2+} = -0.76 + \frac{RT}{nF} \ln 0.001EMF=0.34+RTnFln0.001(0.76+RTnFln0.001)=1VEMF = 0.34 + \frac{RT}{nF} \ln 0.001 - (-0.76 + \frac{RT}{nF} \ln 0.001) = 1 \, \text{V}


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