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The hydrogen electrode when placed in a ...

The hydrogen electrode when placed in a buffer solution of `CH_3COONa and CH_3COOH` in the ratio x:y and y: x has oxidation electrode potential `E_ and E_` volts respectively at ` 25^(@) C ` `(pH_2 =1 atm)` . `pK_a` for `CH_3COOH` will be :

A

`E_1 + E_2 `

B

`E_1 - E_2 `

C

` (E_ 1+ E_2)/(0.0591 xx 2) `

D

`(E_1- E_2)/( 0.0591 xx 2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`E =E^(0)-(0.0591)/(1) log""(1)/([H^(+)]) , ((-E_(RP))/(0.0591)) = log (H^(oplus)) = pt `
` (+E_1)/(0.0591) = P^(Ka) + log""(x)/(y)` .......... (1) , ` (+E_2)/(0.0591) =P^(Ka) + log""(y)/(x) ` ......... (2) from (1) & (2)
`(+E_1 + E_2)/(0.0591) = 2P^(Ka) + log((x)/(y)) + log((y)/(x)) + ((E_1 + E_2)/(0.0591)) = 2P^(Ka) + log""((x)/(y) xx (y)/(x)) , P^(Ka) = + ((E_1 + E_2)/(2 xx 0.0591))`
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Knowledge Check

  • To a buffer solution of CH_3 COOH and CH_3 COONa, some HCl is added . Then the reactions involved is

    A
    `CH_3 COOH +OH^(-) to CH_3 COO^(-) +H_2O `
    B
    `CH_3 COO^(-) +H^(+) to CH_3 COOH`
    C
    ` Na^(+) OH^(-) to NaOH`
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    ` CH_3 COO^(-) + Na^(+) to CH_3 COONa`

  • To a buffer solution of CH_3 COOH and CH_3 COONa, some HCl is added . Then the reactions involved is

    A
    `CH_3 COOH +OH^(-) to CH_3 COO^(-) +H_2O `
    B
    `CH_3 COO^(-) +H^(+) to CH_3 COOH`
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    ` Na^(+) OH^(-) to NaOH`
    D
    ` CH_3 COO^(-) + Na^(+) to CH_3 COONa`

  • To a buffer solution of CH_(3),COOH and CH_(3),COONa , some HCI is added. Then the reaction involved is

    A
    `CH_(3)COOH+OH^(-) rarr CH_(3)COO^(-)+H_(2)O`
    B
    `CH_(3)COO^(-)+H^(+)rarr CH_(3)COOH`
    C
    `Na^(+)OH^(-) rarr NaOH`
    D
    `CH_(3)COO^(-)+Na^(+) rarr CH_(3)COONa`

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