2.
For the following cell reaction :
Cu(s) + 2Ag*(aq) + 2Ag(s) + Cu2+(aq)
Eºcis 0.46 V at 300 K and 0.50 V at 340 K, then
what will be entropy change?
(1) 386 JK-1
(2) 276 JK-1
(3) 96.5JK-1
(4) 193 JK-1
Answers
The entropy change will be ΔS = - 193 . 5 JK^-1
Explanation:
Given data:
n=2
Initial temperature "T1" =300 K
Final temperature "T2" = 340 K
E1 = 0.46 V
E2 = 0.50 V
ΔS = - nF . dE / dT
ΔS = -2 x 96500 x ( 0.50 - 0.46) / 340 - 300
ΔS = -2 x 96500 x 0.04 / 40
ΔS = -2 x 96500 x 10.3
ΔS = -2 x 96.5
ΔS = - 193 . 5 JK^-1
Thus the entropy change will be ΔS = - 193 . 5 JK^-1
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The change in entropy is - 193.5 JK⁻¹.
Given:
Initial temperature = T₁ =300 K
Final temperature = T₂ = 340 K
Initial emf = E₁ = 0.46 V
Final emf = E₂ = 0.50 V
Explanation:
From the given reaction, n = 2
The change in entropy is given by the formula:
ΔS = - (n × F × dE)/dT
Where
F = Faraday's constant = 96500 C mol⁻¹
n = No. of electrons involved
dT = Change in temperature
dE = Change in emf
On substituting the values, we get,
ΔS = -(2 × 96500 × (0.50 - 0.46))/(340 - 300)
ΔS = -(2 × 96500 × 0.04)/40
ΔS = -2 × 96500 × 10.3
ΔS = -2 × 96.5
∴ ΔS = - 193.5 JK⁻¹