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JEE Main 20199 JanuaryEvening Shift
Exam
JEE Main
Year
2019
Date
9 January
Shift
Evening Shift
Subject
Chemistry
Chapter
Electrochemistry

JEE Main 2019 · 9 January · Evening Shift · Chemistry · Electrochemistry

If the standard electrode potential for a cell is 2V at 300K, the...

If the standard electrode potential for a cell is 2V2V at 300K,300K, the equilibrium constant \left(K\right)forthereaction.<br/><br/>for the reaction.<br /><br />Zn\left(s\right)+Cu2+(aq)+ C{u}^{2 +}\left(aq\right) ⇌ Z{n}^{2 +}\left(aq\right)+Cu(s)+ Cu\left(s\right)

at 300K300K is approximately:

\left(R = 8J{K}^{- 1}mo{l}^{- 1}, F = 96000Cmo{l}^{- 1}\right)

Options

  1. Ae−160{e}^{- 160}
  2. Be−80{e}^{- 80}
  3. Ce160{e}^{160}
  4. De320{e}^{320}

Correct answer

C. e160{e}^{160}

Step-by-step solution

∆G=∆Go+RTlnQ∆ G = ∆ {G}^{o} + RTlnQ
At equilibrium ∆G=0,Q=k∆ G = 0, Q = k
0=∆Go+RTlnK0 = ∆ {G}^{o} + RTlnK
∆Go=−RTlnK(∴∆Go=−nFEo)∆ {G}^{o} = - RTlnK\left(∴ ∆ {G}^{o} = - nF{E}^{o}\right)
So −nFEo=−RTlnk- nF{E}^{o} = - RTlnk
′n′′n′ factor for the above cell =2= 2
So −2×96000×2=−8×300lnk- 2 \times 96000 \times 2 = - 8 \times 300lnk
lnk=160lnk = 160
k=e160k = {e}^{160}

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