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Four moles of PCl(5) are heated in a clo...

Four moles of `PCl_(5)` are heated in a closed 4 `dm^(3)` container to reach equilibrium at 400 K. At equilibrium 50% of `PCl_(5)` is dissociated. What is the value of `K_(c)` for the dissociation of `PCl_(5)` into `PCl_(3) and Cl_(2)` at 400 K ?

A

0.5

B

`1.00`

C

1.25

D

0.05

Text Solution

Verified by Experts

The correct Answer is:
A

`PCl_(5) harr PCl_(3) + Cl_(2)`
`{:(4,0,0,": Initial moles"),(4-2=2,2,2,": Moles at equilibrium"),((2)/(4),(2)/(4),(2)/(4),": Molar concentrations"):}`
`K_(c) = ([PCl_(3)][Cl_(2)])/([PCl_(5)]) = ((2)/(4) xx (2)/(4))/((2)/(4))`
`therefore" "K_(c) = (1)/(2) = 0.5`
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