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At 27 C, Kp=1.5e18 for the rxn: 3 NO (g) <--> N2O (g) + NO2 (g) If 0.03 mol of N

ID: 927010 • Letter: A

Question

At 27 C, Kp=1.5e18 for the rxn:
3 NO (g) <--> N2O (g) + NO2 (g)
If 0.03 mol of NO were placed in a 1 liter vessel and equilibrium were established, what would be the equilibrium concentrations of the products and reactants? At 27 C, Kp=1.5e18 for the rxn:
3 NO (g) <--> N2O (g) + NO2 (g)
If 0.03 mol of NO were placed in a 1 liter vessel and equilibrium were established, what would be the equilibrium concentrations of the products and reactants?
3 NO (g) <--> N2O (g) + NO2 (g)
If 0.03 mol of NO were placed in a 1 liter vessel and equilibrium were established, what would be the equilibrium concentrations of the products and reactants?

Explanation / Answer

Given equilibrium constant , Kp = 1.5x1018

We know that Kp = Kc x (RT)n

Where

n = change in number of moles

     = total number of gaseous products - total number of gaseous reactants

   = (1+1) - 3

   = -1

R = gas constant = 0.0821 Latm . (mol-K)

T = temperature = 27 oC = 27+273 = 300 K

Plug the values we get Kc = Kpx (RT)-n

= (1.5x1018) x (0.0821x300)1

                                     = 6.1 x1016

Initial concentration of NO is = number of moles / volume in L

                                         = 0.03 mol / 1 L

                                         = 0.03 M

                       3 NO (g) <--> N2O (g) + NO2 (g)

initial conc         0.03                0             0

change               -3a               +a            +a

Equb conc     0.03-3a              a              a

Equilibrium constant , Kc = ([NO2][N2O]) / [NO]2

                     6.1 x1016 = ( a x a ) / (0.03-3a)2

On solving we get a = 0.01M

Therefore the equilibrium concentration of N2O = a = 0.01 M

equilibrium concentration of NO2 = a = 0.01 M

equilibrium concentration of NO = 0.03-3a = 0.03-(3x0.01) = 0.0 M

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