Home
Class 11
CHEMISTRY
In a reaction at equilibrium, 'x' mole o...

In a reaction at equilibrium, `'x'` mole of reactant `A` decompose to give `1 molar` of `C` and `D`. It has been found that the fraction of `A` decomposed at equilibrium is independent of initial concentration of `A`. Find the value of `x`.

Text Solution

Verified by Experts

`{:(,xA,hArr,C,+,D),("Before diss.",a,,0,,0),("At equilibrium",a(1-alpha),,aalpha//x,,aalpha//x):}`
Where `alpha` is degree of dissociation of `A`.
`:. K_(c)=([C][D])/([A]^(x))=(a^(2)alpha^(2)xxV^(x))/(a^(x)(1-alpha)^(x)xxV^(2)xx x^(2))`
(`:' V` is total volume. )
`=(a^(2-x)xxV^(x-2)xxalpha^(2))/((1-alpha)^(x)xx x^(2))`
Since `alpha` is independent of `a`, then
`:. 2-x=0` or `x=2`
Promotional Banner

Topper's Solved these Questions

  • CHEMICAL EQUILIBRIUM

    P BAHADUR|Exercise Comprehension|22 Videos

  • CHEMICAL EQUILIBRIUM

    P BAHADUR|Exercise Statement:Explanation|13 Videos

  • CHEMICAL EQUILIBRIUM

    P BAHADUR|Exercise Exercise|134 Videos

  • CHEMICAL BONDING

    P BAHADUR|Exercise Exercise 7|11 Videos

  • GASEOUS STATE

    P BAHADUR|Exercise Exercise -9|1 Videos

Similar Questions

Explore conceptually related problems

In a reaction at equilibrium, 'x' mole of reactant A decompose to give 1 molar of C and D . It has been found that the fraction of A decomposed at equilibrium is independent of initial concentration of A . Calculate x .

In a gaseous reaction at equilibrium , 'n' mole of reactant 'A' decompose to give 1 mole each of C and D.It has been found that degree of dissociation of A at equilibrium is independent of total pressure.Value of 'n' is :

Assertion : The equilibrium constant for the reverse reaction is equal to the inverse of the equilibrium constant for the forward reaction . Reason : The value of equilibrium constant is independent of initial concentrations of the reactants and products.

Influence of pressure, temperature, concentration and addition of inert gas on a reversible chemical reaction in equilibrium can be explained by formulating the expression for equilibrium constant K_(c) or K_(p) for the equilibrium. On the other hand Le Chatelier principle can be theoretically used to explain the effect of P , T or concentration on the physical or chemical equilibrium both. n moles of a reactant A gives one mole of B and C . If degree of dissociation of A is independent of initial concentration of A , then n is:

If the half-time for a particular reaction is found to be constant and independent of the initial concentration of the reactants, then the reaction is of

In the reaction A+B hArr C+D , What will happen to the equilibrium if concentration of A is increased ?

At a definite temperature, the equilibrium constant for a reaction, A+BhArr2C , was found to be 81. Starting with 1 mole A and 1 mole B, the mole fraction of C at equilibrium is :

For the reaction 3AhArr C+2D , initially A was taken. At equilibrium the concentration of D is twice that of A. The value of K_(c) is