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Graph of an exponential function y=2+ae^...

Graph of an exponential function `y=2+ae^(-x)` is shown in figure. What is the value of a ?

Text Solution

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The correct Answer is:
`n = 3 & X`-electrode to Sn-electrode
At cathode:
`Sn^(+2) +2e^(-) rarr Sn`
At anode:
`X rarr X^(+n) +n e^(-)`
Cell reaction
`nSn^(+2) +2X rarr 2X^(+n) +nSn`
`E^(@) =- 0.14 +0.78 = 0.64`
`E = E^(@) -(0.0591)/(2n)log.([X^(+n)]^(2))/([S^(+2)]^(n))`
`0.65 =0.64 -(0.0591)/(2n) [log 0.01 -log (0.5)^(n)]`
`0.01 =- (0.0591)/(2n) [-2 +n log 2]`
`0.03384 n = 2 -0.3010n`
`0.6394 n = 2`
`n = 3.12 =3`
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