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-Print Calculator Periodic Print Calculator -d Periodic Table Question 12 of 26 Phosphorus pentachloride decomposes according to the chemical equation Map ot =1.80 at 250°C A 0.294 mol sample of PCIs(g) is injected into an empty 3.80 L reaction vessel held at 250 . Calculate the concentrations of PC(g) and PCl3(g) at equilibrium Number [PC15] = Number O Previous Give up & View Solution e Check Answer O Next Exit Start by finding the initial concentration of PCls from the number of moles and the volume. Then, set up a table of initial and final concentrations, where the change in concentration of each product is designated as x.Explanation / Answer
Solution :-
Given data
0.294 mol PCl5
Volume = 3.80 L
Kc =1.80
PCl5(g)------ > PCl3(g) + Cl2(g)
Equilibrium concentration of the PCl5and PCl3 = ?
Lets first calculate the initial molarity of the PCl5
Molarity of PCl5 = 0.294 mol / 3.80 L
= 0.07737 M
Now lets set up the ICE table
PCl5(g)------ >PCl3(g)+Cl2(g
0.07737 M 0 0
-x +x +x
0.07737-x x x
Lets write the equilibrium constant equation
Kc =[PCl3][Cl2]/[PCl5]
Lets put the values in the formula
1.80 = [x][x]/[0.07737-x]
1.80* (0.07737-x)= x^2
0.13927 -1.80x =x^2
Solving this using the quadratic equation we get
X= 0.07430 M
Therefore the equilibrium concentration of the PCl5 is as follows
[PCl5] = 0.07737-x
= 0.07737 – 0.07430
= 0.00307 M
And equilibrium concentration of the PCl3 =x = 0.07430 M
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