For this heterogeneous system 2 A ( aq ) + 3 B ( g ) + C ( l ) − ⇀ ↽ − 2 D ( s ) + 3 E ( g ) the concentrations and pressures at equilibrium are [ A ] = 9.68 × 10 − 2 M , P B = 9.54 × 10 3 Pa , [ C ] = 14.64 M , [ D ] = 10.11 M , and P E = 9.56 × 10 4 torr . Calculate the thermodynamic equilibrium constant, K.

Respuesta :

Answer:

[tex]2.55*10^{11[/tex]

Explanation:

Equation for the heterogeneous system is given as:

[tex]2A_{(aq)} + 3 B_{(g)} + C_{(l)}[/tex]      ⇄      [tex]2D_{(s)}[/tex]    [tex]+[/tex]     [tex]3E_{(g)}[/tex]

The concentrations and pressures at equilibrium  are:

[tex][A] = 9.68*10^{-2}M[/tex]

[tex]P_B = 9.54*10^3Pa[/tex]

[tex][C]=14.64M[/tex]

[tex][D]=10.11M[/tex]

[tex]P_E=9.56*10^4torr[/tex]

If we convert both pressure into bar; we have:

[tex]P_B = 9.54*10^3Pa[/tex]

[tex]P_B = (9.54*10^3)*\frac{1}{10^5} bar[/tex]

[tex]P_B=9.54*10^{-2}bar[/tex]

[tex]P_E=9.56*10^4torr[/tex]

1 torr = 0.001333 bar

[tex]9.54*10^4 *0.001333 = 127.5 bar[/tex]

[tex]K=\frac{[P_E]^3}{[A]^2[P_B]^3}[/tex]

[tex]K=\frac{(127.5)^3}{(9.68*10^{-2})^2(9.54*10^{-2})^3}[/tex]

[tex]K=2.55*10^{11[/tex]