Chemistry-
General
Easy

Question

The reaction, A plus 2 B blank rightwards harpoon over leftwards harpoon 2 C plus D was studied using an initial concentration of B which was 1.5 times that of A. But the equilibrium concentration of A and C were found to be equal. Then the K subscript c end subscript for the equilibrium is :

  1. 4  
  2. 8  
  3. 6  
  4. 0.32  

The correct answer is: 0.32


    A blank plus blank 2 B blank rightwards harpoon over leftwards harpoon blank 2 C plus D
    a stack table row cell fraction numerator 3 over denominator 2 end fraction a end cell end table with open parentheses a minus x close parentheses open parentheses fraction numerator 3 over denominator 2 end fraction a minus 2 x close parentheses below stack blank 0 with x below stack blank 0 with x below
    Given, a minus x equals 2 x
    therefore x equals a divided by 3
    Now, K subscript c end subscript equals fraction numerator open square brackets C close square brackets to the power of 2 end exponent open square brackets D close square brackets over denominator open square brackets A close square brackets open square brackets B close square brackets to the power of 2 end exponent end fraction equals fraction numerator open parentheses fraction numerator 2 a over denominator 3 end fraction close parentheses to the power of 2 end exponent cross times fraction numerator a over denominator 3 end fraction over denominator open parentheses table row cell a minus fraction numerator a over denominator 3 end fraction end cell end table close parentheses open parentheses table row cell fraction numerator 3 a over denominator 2 end fraction minus fraction numerator 2 a over denominator 3 end fraction end cell end table close parentheses to the power of 2 end exponent end fraction equals 0.32

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