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Standard XII

Chemistry

Fuel Cells

a Calculate ...

Question

(a) Calculate $Δ_{r} G^{0}$ for the reaction $M g (s) + {C u}^{2 +} (a q) \to {M g}^{2 +} (a q) + C u (s)$ .
Given: $E_{c e l l}^{0} = 2.71 V, 1 F = 96500 C {m o l}^{- 1}$
(b) Name the type of cell that was used in Apollo space program for providing electrical power.

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Solution

(a) For the cell reaction,
$M g (s) + C u_{2} + (a q) \to M g_{2} + (a q) + C u (s)$ ; $E^{o} c e l l = + 2 \cdot 71 V$
The change in the standard Gibbs free energy is given as:
$Δ r G^{o} = - n F E^{o} c e l l = - 2 \times 96500 \times 2.71 = - 523030 J m o l^{- 1}$
b) The fuel cell which uses the reaction of hydrogen with oxygen to form water was used in Apollo space programme for providing electrical power.

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Similar questions

Q. (a) Calculate

△_{r} G^{0}

for the reaction.

M g (s) + C u^{2 +} (a q) \to M g^{2 +} (a q) + C u (s)

Given:

E_{c e l l}^{0} = + 2.71 V, 1 F = 96500 C m o l^{- 1}

(b) Name the type of cell which was used in Apollo space programme for providing electrical power.

Q. (a) Calculate

Δ_{r} G^{0}

for the reaction

M g (s) + C u^{2 +} (a q) \to M g^{2 +} (a q) + C u (s)

Given :

E_{c e l l}^{0} = + 2.71 V, 1 F = 96500 C m o l^{- 1}

(b) Name the type of cell which was used in Apollo space programme for providing electrical power.

Q. (a) State Faraday's first law of electrolysis. How much charge in terms of faraday is required for the reduction of

1

mole of

{C u}^{2 +}

C u

?
(b) Calculate emf of the following cell at

298 K

M g (s) | {M g}^{2 +} (0.1 M) | | {C u}^{2 +} (0.01 M) | C u (s)

[Given

E_{c e l l}^{0} = + 2.71 V, 1 F = 96500 C {m o l}^{- 1}

]

For a cell, the cell reaction is $M g (s) + C u^{2 +} (a q) \to M g^{2 +} (a q) + C u (s)$ . If the S.R.P. values of $M g$ and $C u$ are $- 2.37 V$ and $+ 0.34 V$ respectively, the EMF of the cell is:

Q. Calculate the e.m.f of the following cell reaction at

298 K

{M g}_{(s)} + {C u}^{2 +} (0.0001 M) \to {M g}^{2 +} (0.001 M) + {C u}_{(s)}

The standard potential

(E^{o})

of teh cell is

2.71 V

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(a) Calculate ΔrG0 for the reaction Mg(s)+Cu2+(aq)→Mg2+(aq)+Cu(s).Given: E0cell=2.71V,1F=96500Cmol−1(b) Name the type of cell that was used in Apollo space program for providing electrical power.

(a) Calculate $Δ_{r} G^{0}$ for the reaction $M g (s) + {C u}^{2 +} (a q) \to {M g}^{2 +} (a q) + C u (s)$ .
Given: $E_{c e l l}^{0} = 2.71 V, 1 F = 96500 C {m o l}^{- 1}$
(b) Name the type of cell that was used in Apollo space program for providing electrical power.