Question

Write the equilibrium constant expression for the following reactions:

$left parenthesis straight i right parenthesis space BaCO subscript 3 left parenthesis straight s right parenthesis space space rightwards harpoon over leftwards harpoon space space space space BaO left parenthesis straight s right parenthesis space plus space CO subscript 2 left parenthesis straight g right parenthesis left parenthesis ii right parenthesis space AgBr left parenthesis straight s right parenthesis space space rightwards harpoon over leftwards harpoon space space space Ag to the power of plus left parenthesis aq right parenthesis space plus space Br to the power of minus left parenthesis aq right parenthesis left parenthesis iii right parenthesis space Al left parenthesis straight s right parenthesis plus space 3 straight H to the power of plus left parenthesis aq right parenthesis space space space rightwards harpoon over leftwards harpoon space space space space Al to the power of 3 plus end exponent left parenthesis aq right parenthesis space plus space 3 over 2 straight H subscript 2 left parenthesis straight g right parenthesis$

Solution

left parenthesis straight i right parenthesis space BaCO subscript 3 left parenthesis straight s right parenthesis space space rightwards harpoon over leftwards harpoon space space space space BaO left parenthesis straight s right parenthesis space plus space CO subscript 2 left parenthesis straight g right parenthesis space space space space space straight K subscript straight c space equals space fraction numerator open square brackets BaO left parenthesis straight s right parenthesis close square brackets space open square brackets CO subscript 2 left parenthesis straight g right parenthesis close square brackets over denominator open square brackets BaCO subscript 3 left parenthesis straight s right parenthesis close square brackets end fraction

By convention,

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Hence

straight K subscript straight c space equals space fraction numerator open square brackets BaO left parenthesis straight s right parenthesis close square brackets space open square brackets CO subscript 2 left parenthesis straight g right parenthesis close square brackets over denominator open square brackets BaCO subscript 3 left parenthesis straight s right parenthesis close square brackets end fraction

By convention,

open square brackets BaO left parenthesis straight s right parenthesis close square brackets space equals space 1 comma space space open square brackets BaCO subscript 3 left parenthesis straight s right parenthesis close square brackets space equals space 1

Hence comma space straight K subscript straight c space equals space open square brackets CO subscript 2 left parenthesis straight g right parenthesis close square brackets

For gases, using partial pressures,

left parenthesis ii right parenthesis space AgBr left parenthesis straight s right parenthesis space space rightwards harpoon over leftwards harpoon space space space Ag to the power of plus left parenthesis aq right parenthesis space plus space Br to the power of minus left parenthesis aq right parenthesis space space space space space space space space straight K subscript straight c space equals space fraction numerator open square brackets Ag to the power of plus left parenthesis aq right parenthesis close square brackets space open square brackets Br to the power of minus left parenthesis aq right parenthesis close square brackets over denominator open square brackets AgBr left parenthesis straight s right parenthesis close square brackets end fraction

By convention,

open square brackets Ag space Br space left parenthesis straight s right parenthesis close square brackets space equals space 1

Hence space straight K subscript straight c space equals space open square brackets Ag to the power of plus left parenthesis aq right parenthesis close square brackets space open square brackets Br to the power of minus left parenthesis aq right parenthesis close square brackets

left parenthesis iii right parenthesis space Al left parenthesis straight s right parenthesis plus space 3 straight H to the power of plus left parenthesis aq right parenthesis space space rightwards harpoon over leftwards harpoon space space space Al to the power of 3 plus end exponent left parenthesis aq right parenthesis space plus space 3 over 2 straight H subscript 2 left parenthesis straight g right parenthesis

space straight K subscript straight c space equals space fraction numerator open square brackets Al to the power of 3 plus end exponent left parenthesis aq right parenthesis close square brackets space open square brackets straight H subscript 2 left parenthesis straight g right parenthesis close square brackets to the power of 3 divided by 2 end exponent over denominator open square brackets Al left parenthesis straight s right parenthesis close square brackets space straight H squared left parenthesis aq right parenthesis right square bracket cubed end fraction

By convention,

open square brackets Al left parenthesis straight s right parenthesis close square brackets space equals space 1

Hence

straight K subscript straight c space equals space fraction numerator open square brackets Al to the power of 3 plus end exponent left parenthesis aq right parenthesis close square brackets space open square brackets straight H subscript 2 left parenthesis straight g right parenthesis close square brackets to the power of 3 divided by 2 end exponent over denominator open square brackets straight H to the power of plus left parenthesis aq right parenthesis close square brackets cubed end fraction

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Equilibrium

Some More Questions From Equilibrium Chapter

Give an example from daily life in which there is gas solution equilibrium?

A crystal of common salt of a given mass is kept in its aqueous solution. After 24 hours, its mass remains the same. Is the crystal in equilibrium with the solution?

What is the role of forward and backward reactions at equilibrium of a reversible reaction?

What is a forward reaction?

What condition favours a reversible reaction?

What is a backward reaction?

What type of equilibrium is attained in a reversibe chemical change?

What is meant by a system at dynamic equilibrium?

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