± Adding Equilibrium Reactions Learning Goal: To understand how to calculate the
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Question
± Adding Equilibrium Reactions
Learning Goal:
To understand how to calculate the equilibrium constants for chemical equations that can be produced by the addition of other chemical equations with known equilibrium constants.
For a chemical reaction equation with the general form
aA+bBcC+dD
K1=[C]c[D]d[A]a[B]b
Thus, for a chemical reaction equation with the general form
cC+dDeE+fF
K2=[E]e[F]f[C]c[D]d
aA+bBeE+fF
K3=[E]e[F]f[A]a[B]b=[C]c[D]d[A]a[B]b[E]e[F]f[C]c[D]d
K3=K1K2
Thus, when a chemical equation is the sum of two chemical equations for which equilibrium constants are already known, the equilibrium constant for the reaction is the product of the equilibrium constants for the individual reactions. Keep in mind that equilibrium equations do not include expressions for any pure solids or liquids that may be involved in the reaction.
Part A
H2SHS+H+, K1 = 9.86×108, and
HSS2+H+, K2 = 1.25×1019,
S2+2H+H2S
Enter your answer numerically.
7.14•1025
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Part B
PbCl2Pb2++2Cl, K3 = 1.76×1010, and
AgClAg++Cl, K4 = 1.13×104,
PbCl2+2Ag+2AgCl+Pb2+
Express your answer numerically.
SubmitHintsMy AnswersGive UpReview Part
± Adding Equilibrium Reactions
Learning Goal:
To understand how to calculate the equilibrium constants for chemical equations that can be produced by the addition of other chemical equations with known equilibrium constants.
For a chemical reaction equation with the general form
aA+bBcC+dD
the equilibrium equation is given byK1=[C]c[D]d[A]a[B]b
Thus, for a chemical reaction equation with the general form
cC+dDeE+fF
the equilibrium equation is given byK2=[E]e[F]f[C]c[D]d
If the first two equations are added together such thataA+bBeE+fF
then the equilibrium equation is given byK3=[E]e[F]f[A]a[B]b=[C]c[D]d[A]a[B]b[E]e[F]f[C]c[D]d
orK3=K1K2
Thus, when a chemical equation is the sum of two chemical equations for which equilibrium constants are already known, the equilibrium constant for the reaction is the product of the equilibrium constants for the individual reactions. Keep in mind that equilibrium equations do not include expressions for any pure solids or liquids that may be involved in the reaction.
Part A
Given the two reactionsH2SHS+H+, K1 = 9.86×108, and
HSS2+H+, K2 = 1.25×1019,
what is the equilibrium constant Kfinal for the following reaction?S2+2H+H2S
Enter your answer numerically.
Kfinal =7.14•1025
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Part B
Given the two reactionsPbCl2Pb2++2Cl, K3 = 1.76×1010, and
AgClAg++Cl, K4 = 1.13×104,
what is the equilibrium constant Kfinal for the following reaction?PbCl2+2Ag+2AgCl+Pb2+
Express your answer numerically.
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Explanation / Answer
H2SHS+H+, K1 = 9.86×108,
K1=[HS-][H+]/[H2S]
HSS2+H+, K2 = 1.25×1019
K2=[S2-][H+]/[HS]
S2+2H+H2S
Kfinal=[H2S]/[S2-][H+]2 = 1/k1k2=1/( 9.86×108x 1.25×1019)=8.1136x10^25.
pure solids are not included in equilibrium expressions
PbCl2Pb2++2Cl, K3 = 1.76×1010, and
K3=[Pb2+][Cl]2 = 1.76×1010
AgClAg++Cl, K4 = 1.13×104,
K4=[Ag+][Cl-]=1.13×104
PbCl2+2Ag+2AgCl+Pb2+
Kfinal=[Pb2+]/[Ag+]2 =K3/K42=1.76×1010/(1.13×104)2=0.01378
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