From the calculation, the equilibrium partial pressure of IBr is 6.5 * 10^-4 atm while that of I2 and Br2 is 0.002 atm.
We must set up the ICE table as shown hence;
2 IBr(g) < ------> I2(g) + Br2(g)
I 0.00465 0 0
C - 2x + x + x
E 0.00465 - 2x + x + x
Kp = pI2. pBr2/pIBr^2
pI2 = pBr2 = x
0.748 = x^2/ 0.00465 - 2x
0.748 (0.00465 - 2x) = x^2
3.5 * 10^-3 - 1.496x = x^2
x^2 + 1.496x - 3.5 * 10^-3 = 0
x=0.002 atm
Hence;
For IBr = 0.00465 - 2(0.002) = 6.5 * 10^-4 atm
For I2 and Br2 = 0.002 atm
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