Nernst equation Knowledge-Based Download PDF

Questions

1. 1.

   What is the equilibrium constant, $K$, at 298 K for a redox reaction in which $n = 2$ moles of electrons are transferred and the standard cell potential is $E^\circ_{\text{cell}} = +0.296\text{ V}$? (Use $\frac{2.303 RT}{F} = 0.0592\text{ V}$ at 298 K.)

   • A) $1.0 \times 10^5$
   • B) $1.0 \times 10^8$
   • C) $1.0 \times 10^{10}$
   • D) $1.0 \times 10^{20}$
2. 2.

   What is the reduction potential of a hydrogen half-cell at 298 K immersed in an aqueous solution with a pH of 3.00 when the partial pressure of hydrogen gas is 1.0 atm? (Use $\frac{2.303 RT}{F} = 0.0592\text{ V}$ at 298 K.)

   • A) +0.178 V
   • B) -0.178 V
   • C) -0.089 V
   • D) -0.355 V
3. 3.

   A concentration cell is constructed at 298 K using two nickel electrodes, where one compartment contains $[\text{Ni}^{2+}] = 1.0 \times 10^{-4}\text{ M}$ and the other compartment contains $[\text{Ni}^{2+}] = 1.0\text{ M}$. What is the potential of this cell at 298 K? (Use $\frac{2.303 RT}{F} = 0.0592\text{ V}$ at 298 K.)

   • A) +0.1184 V
   • B) -0.1184 V
   • C) +0.0592 V
   • D) +0.2368 V
4. 4.

   A galvanic cell operates at 298 K according to the reaction $\text{Sn}(s) + 2\text{Ag}^+(aq) \rightarrow \text{Sn}^{2+}(aq) + 2\text{Ag}(s)$, with a standard cell potential of $E^\circ_{\text{cell}} = +0.94\text{ V}$. What is the cell potential, $E_{\text{cell}}$, when $[\text{Ag}^+] = 0.010\text{ M}$ and $[\text{Sn}^{2+}] = 0.10\text{ M}$? (Use $\frac{2.303 RT}{F} = 0.0592\text{ V}$ at 298 K.)

   • A) +0.910 V
   • B) +1.029 V
   • C) +0.851 V
   • D) +0.762 V
5. 5.

   A galvanic cell operates at 298 K according to the overall reaction $\text{Zn}(s) + \text{Cu}^{2+}(aq) \rightarrow \text{Zn}^{2+}(aq) + \text{Cu}(s)$, with a standard cell potential of $E^\circ_{\text{cell}} = +1.10\text{ V}$. What is the cell potential, $E_{\text{cell}}$, when $[\text{Zn}^{2+}] = 1.0 \times 10^{-1}\text{ M}$ and $[\text{Cu}^{2+}] = 1.0 \times 10^{-3}\text{ M}$? (Use $\frac{2.303 RT}{F} = 0.0592\text{ V}$ at 298 K.)

   • A) +1.04 V
   • B) +1.16 V
   • C) +1.07 V
   • D) +0.98 V