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Lubov Fominskaja [6]
2 years ago
11

If the equilibrium constant for the reaction A 2B C 5/2 D has a value of 4.0, what is the value of the equilibrium constant for

the reaction 2C 5D 2A 4B at the same temperature
Chemistry
1 answer:
nirvana33 [79]2 years ago
8 0

Answer:

K'=\frac{1}{16}

Explanation:

Hello!

In this case, since the given reaction is:

A+ 2B \rightleftharpoons C+ \frac{5}{2} D

Whereas the equilibrium constant is:

K=\frac{[C][D]^{5/2}}{[A][B]^2} =4.0

However, the new target reaction reverses and doubles the initial reaction to obtain:

2C+5D \rightleftharpoons 2A+4B

Whereas the equilibrium constant is:

K'=\frac{[A]^2[B]^4}{[C]^2[D]^5}

Which suggest the following relationship between the equilibrium constants:

K'=\frac{1}{K^2}

So we plug in to obtain:

K'=\frac{1}{4.0^2}\\\\K'=\frac{1}{16}

Best regards!

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Putting the given values in the above formula as follows.

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