An air sample containing 21-79 of O2 and N2 molar ratio is heated to 2400- C- If the mole percent of NO at equilibrium is 1-8- Calculate the Kp of the reaction N2-O2- 2NO

N_2 + O_2 ⇌ 2 NO initially 1 #160; #160; 1 #160; #160;0of equation #160; 1 x #160; #160;1 x #160; #160; #160;2xtotal moles ...

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Byju's Answer

Standard XII

Chemistry

Derivation of Kp and Kc

An air sample...

Question

An air sample containing $21 : 79$ of $O_{2}$ and $N_{2}$ (molar ratio) is heated to $2400^{\circ} C$ . If the mole percent of NO at equilibrium is $1.8 %$ . Calculate the $K_{p}$ of the reaction $N_{2} + O_{2} ⇌ 2 N O$

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Solution

$N_{2} + O_{2} ⇌ 2 N O$
initially 1 1 0
of equation 1 - x 1- x 2x
total moles $0.79 (1 - x) + 0.21 (1 - x) + 2 x$
Given that 2x = 0.018
x = 0.009
= 0.79 - 0.79x + 0.21 - 0.21 x + 2x
= 1 - 1 x + 2x = 1 + x = 1 + 0.009
= 1.009
$K_{p} = \frac{{2 x}^{2}}{(1 - x)^{2}} = \frac{(2 \times 0.009)^{2}}{(1 - 0.009)^{2}}$

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A sample of air consisting of $N_{2}$ and $O_{2}$ was heated to 2500 K until the equilibrium $N_{2}$ (g) + $O_{2}$ (g) $⇌$ 2NO (g) was established with an equilibrium constant $K_{c} = 2.1 \times 10^{- 3}$ . At equilibrium, the mole $%$ of NO was 1.8. Estimate the initial composition of air in mole fractions of $N_{2}$ and $O_{2}$ .