5. Consider the gas phase reversible reaction 2A+ B that occurs at atmospheric p

Question

5. Consider the gas phase reversible reaction 2A+ B that occurs at atmospheric pressure. If the equilibrium constant Ka-0.1, what are the equilibrium mole fractions of A and B? (5 points) a) If an inert gas were added to the system, would the equilibrium conversion of species A increase or decrease? Support your answer quantitatively. (5 points) b) If the system pressure is increased, would the equilibrium conversion of species A increase or decrease? Support your answer quantitatively. (5 points) c) d) Assuming the reaction is elementary, write the rate law using kA and kA as the forward and reverse rate constants, respectively. What is the equilibrium constant Kc in terms of ka and kA? Assuming an ideal gas system, write an expression for K, in terms of ka and k.A. If the temperature is 25°C, what is the value of Kc? (5 points) Assuming the reaction is elementary, and that the forward reaction rate constant kA is 2.4 L/(mol·min), determine the time for the reaction to reach 80% of equilibrium in a constant volume batch reactor. Use the value for Kc you obtained in part d to solve the problem. (5 points) e)

Explanation / Answer

a)Let initially 1 mole A is present

Ka= x/2(1-x)

where x is exent of reaction

x=0.16

b)by increase is inert the rate of reaction will decrease because inerts will absorb the energy.

c)it is opposite to the increse in inerts so as we increse the pressure for a rection of number of moles decresing as reaction proceed the reaction rate alson increase.

d)Kc=Ka/K-a

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