3. A sample of HI gas is placed into a rigid container at 700 K. At this tempera

Question

3. A sample of HI gas is placed into a rigid container at 700 K. At this temperature, K,-0.025. The equilibrium is shown below: 2 HI(g) H(8)+1g) Find the equilibrium concentrations of HI, H: and lz if the initial concentration of HI is 0.20 M. 4. A sample of PCls gas is placed into a rigid 1.00 L container at 1500 K. At this temperature, Kc 1.4x 103. The equilibrium is shown below: PFs(g) PFs(g) + F2(g) a. Find Kp at the same temperature. b. If the initial concentration of PF, is 0.30 M, what are the cquilibrium concentration of all species in the container?

Explanation / Answer

3)
ICE Table:

                    [HI]                [H2]                [I2]              

initial             0.2                 0                   0                 

change              -2x                 +1x                 +1x               

equilibrium         0.2-2x              +1x                 +1x               

Equilibrium constant expression is
Kc = [H2]*[I2]/[HI]^2
0.025 = (1*x)^2/(0.2-2*x)^2
sqrt(0.025) = (1*x)/(0.2-2*x)
0.15811388300841897 = (1*x)/(0.2-2*x)
0.03162-0.31623*x = 1*x
0.03162-1.31623*x = 0
x = 0.024025307335204218

At equilibrium:
[HI] = 0.2-2x = 0.2-2*0.02403 = 0.15195 M
[H2] = +1x = +1*0.02403 = 0.02403 M
[I2] = +1x = +1*0.02403 = 0.02403 M

Answer:
[HI] = 0.152 M
[H2] = 0.0240 M
[I2] = 0.0240 M

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