Solveeit Logo

Question

Question: For the cell reaction: \(2C{u^{+}}_{(aq)} \rightarrow Cu_{(s)} + Cu_{(aq)}^{2 +}\) the standard cell...

For the cell reaction: 2Cu+(aq)Cu(s)+Cu(aq)2+2C{u^{+}}_{(aq)} \rightarrow Cu_{(s)} + Cu_{(aq)}^{2 +} the standard cell potential is 0.36V0.36V the equilibrium constant for the reaction is

A

1.2×1061.2 \times 10^{6}

B

7.4×10127.4 \times 10^{12}

C

2.4×1062.4 \times 10^{6}

D

5.5×1085.5 \times 10^{8}

Answer

1.2×1061.2 \times 10^{6}

Explanation

Solution

logKc=nEºcell0.0591\log K_{c} = \frac{nEº_{cell}}{0.0591}

For the given reaction n = 1

logKc=1×0.360.0591=6.09\log K_{c} = \frac{1 \times 0.36}{0.0591} = 6.09

Kc=antilog6.09=1.2×106K_{c} = anti\log 6.09 = 1.2 \times 10^{6}