suppose you start out with only reactants in a rigid container. if the initial concentration of SO2Cl2(g) is 0.543 M, and 43.6% of this initial concentration remains when the system has reached equilibrium, what are the equilibrium concentrations of each gas in the system

Respuesta :

Answer:

Explanation:

From the information given:

The Chemical equation is:

[tex]SO_2Cl_{2(g)} \iff SO_{2(g)} + Cl_{2(g)}\\[/tex]

since 43.6% of the initial concentration remains at equilibrium

Then; the amount of [tex]SO_2Cl_2[/tex] that is being reacted is:

= 0.543 × (100 -43.6)%

= 0.306 M

The ICE table can be computed as follows:

           [tex]SO_2Cl_2[/tex]               ⇔           [tex]SO_{2(g)[/tex]           +             [tex]Cl_{2(g)[/tex]

I            0.543                                    0                           0

C          0.306                                 +0.306                     0.306

E           0.237                                  0.306                      0.306

[tex]K_c = \dfrac{[SO_2] [Cl_{2}]}{[SO_2Cl_2]}[/tex]

[tex]K_c = \dfrac{0.306 \times 0.306}{0.237}[/tex]

[tex]K_c = 0.995[/tex]

Thus; the concentration at equilibrium for the species are:

[tex]SO_2Cl_2[/tex]  = 0.237 M

[tex]SO_{(2g)[/tex] = 0.306 M

[tex]Cl_{2(g)[/tex] = 0.306 M

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