Answer:kp= 0.27
Explanation:
The equation of reaction is given as;
2 NOBr(g) ⇋ 2 NO(g) + Br₂(g)
The partial pressure in equilibrium are related as;
Kp = (P_NO)²∙(P_Br₂ )/ (P_NOBr)².
From the question, the parameters given are; P= 4.0atm, V= 1.0L, T=300k.
PV= nRT--------(ideal gas law equation). Where P= pressure, V= volume, n= number of moles, T= temperature and R= constant.
Making number of moles,n to be the subject of the formula, we have;
n(NOBr) = pV/RT = 4.0 x1.0/(0.082 x 300) = 0.163 mol.
Kp = P(Br2) x P(NO)^2 / P (NOBr)^2.
Partial pressure,P1 = X1 x P(total), whereX1= mole fraction = n1 / Sn
X(NOBr) = P(NOBr) / P(total) = 2.5/4.0 = 0.625
X(Br2) = (1 - 0.625)/3 = 0.1875
X(NO) = 2 x X(Br2) = 2 x 0.1875 = 0.375
P(Br2) = X(Br2) x P(total) = 0.1875 x 4.0 =0.75 atm
P(NO) = X(NO) x P(total) = 0.375 x 4.0 = 1.5atm
Kp = 0.75 x 1.5^2 / 2.5^2 = 0.27
Kp= 0.27
The kp for the reaction = 0.27
2 NOBr(g) ⇄ 2 NO(g) + Br₂(g)
The partial pressure in equilibrium are related as;
Kp = (P_NO)²∙(P_Br₂ )/ (P_NOBr)².
Given:
P= 4.0 atm,
V= 1.0 L,
T=300 K.
From Ideal gas equation:
PV= nRT
Calculation for moles:
n(NOBr) = pV/RT = 4.0 x1.0/(0.082 x 300) = 0.163 mol.
Kp = P(Br₂) * P(NO)² / P (NOBr)².
Partial pressure,P1 = X1 x P(total)
where X1= mole fraction = n1 / Sn
X(NOBr) = P(NOBr) / P(total) = 2.5/4.0 = 0.625
X(Br₂) = (1 - 0.625)/3 = 0.1875
X(NO) = 2 * X(Br₂) = 2 * 0.1875 = 0.375
P(Br₂) = X(Br₂) * P(total) = 0.1875 * 4.0 =0.75 atm
P(NO) = X(NO) * P(total) = 0.375 * 4.0 = 1.5atm
Kp = 0.75 x 1.5² / 2.5² = 0.27
Kp= 0.27
Thus, Kp for the reaction is 0.27.
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