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1.6 mol of PCl(5(g)) is placed in 4 dm""...

1.6 mol of `PCl_(5(g))` is placed in 4 dm`""^3` closed vessel. When the temperature is raised to 500 K, it decomposes and at equilibrium 1.2 mole of `PCl_(5(g))` remains. What is the `K_c` value for the decomposition of `PCl_(5(g))" to "Cl_(2(g))"at 500 K?"`

A

0.013

B

0.05

C

0.033

D

0.067

Text Solution

Verified by Experts

The correct Answer is:
C

1.6 mol of `PCl_5` is placed in `4 dm^3` closed vessel.
`underset("1.6 mol")(PCl_5) Leftrightarrow underset(0)(PCl_(3_(g)) +underset(0)(Cl_(2(g)) "Initial "`
`"(1.6 -x) mol x mol x mol (At equilibrium)"`
Given that 1.6-x=1.2
x=0.4 mol
Therefore, `[PCl_5]=(1/2)/4=0.3. [PCl_3]=(0.4)/(4)=0.1`
and `[Cl_2]=(0.4)/(4)=0.1 therefore K_(c)=([PCl_3] [Cl_2])/([PCl_5])=(0.1 xx 0.1)/(0.3)=0.033`
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