At certain temperature and total pressure of 1 atm, equilibrium mixture contains 20% by volume of a atoms a2-----> 2a the kp is
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Total Pressure, P = 1 atm
It is given that there is 20% by volume of “a” atoms, therefore “a2” atoms will 80% by volume.
Now,
The partial pressure of “a”,
Pa = 20/100 * 1 = 0.2 atm = 0.2/101325 Pa = 20265 Pa [∵ 1atm = 101325 Pa]
And,
The partial pressure of “a2”,
Pa2 = 80/100 * 1 = 0.8 atm = 0.8/101325 Pa = 81060 Pa
Thus, for the given reaction in the question, the value for kp is given by
kp
= [a]² / [a2]
= [20265]² / [81060]
= [5066.25/10³] * (10³) ......[dividing and multiplying by 10³]
= 5.066 * 10³
≈ 5 * 10³
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