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(C) The cell reaction is: $H_{2}(g) + Cu^{2+}(aq) \rightarrow 2H^{+}(aq) + Cu(s)$.Here,$n = 2$.The standard cell potential is $E^{\circ}_{cell} = E^{\

Vedclass · Accepted Answer

$2.5$

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(C) The cell reaction is: $H_{2}(g) + Cu^{2+}(aq) ightarrow 2H^{+}(aq) + Cu(s)$.Here,$n = 2$.The standard cell potential is $E^{\circ}_{cell} = E^{\circ}_{cathode} - E^{\circ}_{anode} = 0.34 \, V - 0 \, V = 0.34 \, V$.Using the Nernst equation at $298 \, K$:$E_{cell} = E^{\circ}_{cell} - \frac{0.0591}{n} \log \frac{[H^{+}]^{2}}{P_{H_{2}} [Cu^{2+}]}$$0.49 = 0.34 - \frac{0.0591}{2} \log \frac{x^{2}}{1 	imes 1}$$0.15 = -\frac{0.0591}{2} 	imes 2 \log x$$0.15 = -0.0591 	imes \log x$$\log x = -\frac{0.15}{0.0591} \approx -2.538$Since $pH = -\log [H^{+}] = -\log x$,we get $pH \approx 2.54$.The closest value is $2.5$.

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