At 25°C, gaseous decomposes to and to the extent that 14.5% of the original (by moles) has decomposed to reach equilibrium. The total pressure (at equilibrium) is 0.670 atm. Calculate the value of for this system.

Respuesta :

Answer:

The value of Kp for the system = 0.0128 atm

Explanation:

Let, the gaseous substance is SO₂Cl₂

                               SO₂Cl₂     ⇄        SO₂       +        Cl₂

Initially                      x                            0                   0

At equilibrium   (x - 14.5%x)                14.5%x           14.5%x

                        = 85.5 % x

Total moles of gases at equilibrium

                = 85.5 % x + 14.5%x + 14.5%x

                = 114.5 % x

Partial pressure of SO₂ ([tex]Pso_{2}[/tex]) = [tex]\frac{14.5x}{114.5x} X0.67= 0.08[/tex]

Partial pressure of Cl₂ [tex](Pcl_{2}) =\frac{14.5x}{114.5x} X0.67 = 0.08[/tex]

Partial pressure of SO₂Cl₂ [tex](Pso_{2}cl_{2} )=\frac{85.5x}{114.5x} X0.67= 0.5[/tex]

So,

       [tex]Kp = \frac{Pso_{2} XPcl_{2} }{Pso_{2}cl_{2}}\\ \\=\frac{0.08X0.08}{0.5} \\\\=0.0128[/tex]