Chemistry-
General
Easy

Question

t subscript 1 divided by 2 end subscript equals constant confirms the first order of the reaction as one a to the power of 2 end exponent t subscript 1 divided by 2 end subscript equals constant confirms that the reaction is of

  1. Zero order    
  2. First order    
  3. Second order    
  4. Third order    

The correct answer is: Third order


    For nth order, t subscript 1 divided by 2 end subscript proportional to open parentheses a close parentheses to the power of 1 minus n end exponent
    rightwards double arrow blank fraction numerator t subscript 1 divided by 2 end subscript over denominator open parentheses a close parentheses to the power of 1 minus n end exponent end fraction or t subscript 1 divided by 2 end subscript cross times open parentheses a close parentheses to the power of n minus 1 end exponent equals Constant
    therefore Given t subscript 1 divided by 2 end subscript cross times open parentheses a close parentheses to the power of n minus 1 end exponent equals t subscript 1 divided by 2 end subscript open parentheses a close parentheses to the power of 2 end exponent
    rightwards double arrow open parentheses a close parentheses to the power of n minus 1 end exponent equals open parentheses a close parentheses to the power of 2 end exponent
    therefore blank n minus 1 equals 2 blank rightwards double arrow n equals 3
    Hence, third order reaction

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