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Electrochemical Cells, Galvanic Cells

For the galva...

Question

For the galvanic cell :
$A l (s) | A l^{3 +} (a q) (0.1 M) | A g^{+} (a q) (0.1 M) | A g (s),$
which of the following is/are correct?

Reaction quotient

Q = 1.0 \times 10^{- 2}

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l o g_{10} Q = 2

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Q = 1.0 \times 10^{3}

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Q = 1.0 \times 10^{2}

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Solution

The correct options are
A $l o g_{10} Q = 2$
D $Q = 1.0 \times 10^{2}$
The expression for the reaction quotient is $Q = \frac{[{A l}^{3 +}]}{{[{A g}^{+}]}^{3}} .$
Substitute values in the above expression.
$Q = \frac{[0.1]}{{[0.1]}^{3}} = 1.0 \times 10^{2} .$
Also, ${l o g}_{10} Q = {l o g}_{10} (1.0 \times 10^{2}) = 2.$

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