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Question

Chemistry Question on Homogeneous Equilibria

At a certain temperature and total pressure of 105 Pa, iodine vapour contains 40% by volume of I\text {I} atoms
I2(g)2I(g)I_2 (g) ⇋ 2I (g)
Calculate Kp for the equilibrium.

Answer

Partial pressure of I atoms,
PI=40100×PtotalP_I = \frac {40}{100} × P_{total}

PI=40100×105P_I= \frac {40}{100} × 10^5
PI=4×104 PaP_I = 4 × 10^4 \ Pa
Partial pressure of I2 molecules,
PI2=60100×PtotalP_{I_2} = \frac {60}{100} × P_{total}

PI2=60100×105P_{I_2} = \frac {60}{100} × 10^5
PI2=6×104 PaP_{I_2} = 6 × 10^4 \ Pa
Now, for the given reaction,
Kp=(pI)2PI2K_p = \frac {(p_I)^2}{P_{I_2}}

Kp=(4×104)2 Pa26×104 PaK_p = \frac {(4 × 10^4)^2\ Pa^2 }{6 × 10^4\ Pa}
Kp=2.67×104 PaK_p = 2.67 × 10^4\ Pa