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Home / Doubts and Solutions/NEET/Chemistry

rom the gaseous reaction,
2A + B2 → 2AB,
the following rate data were obtained at 300 K.
 

  Rate of dissociation of B2 Concentration
[A]         [B2]
(i) 1.8 × 10–3 0.015  0.15 
(ii) 1.08 × 10–2  0.090 0.15 
(iii) 5.4 × 10–3 0.015  0.45 


Calculate the rate constant for the reaction

Asked by Atulcaald 15th May 2018, 1:02 PM
Answered by Expert
Answer:
R a t e space o f space r e a c t i o n space equals space K space left square bracket A right square bracket to the power of m space left square bracket B right square bracket to the power of n W h e r e space m space a n d space n space a r e space o r d e r space w i t h space r e s p e c t space t o space A space a n d space B R a t e space o f space d i s a p p e a r a n c e space o f space B subscript 2 space equals space K space space left square bracket A right square bracket to the power of m space left square bracket B right square bracket to the power of n F r o m space g i v e n comma R subscript 1 space equals space 1.8 space cross times 10 to the power of negative 3 end exponent space equals space k space left square bracket 0.015 right square bracket to the power of m space left square bracket 0.15 right square bracket to the power of n R subscript 2 space equals space 1.08 space cross times space 10 to the power of negative 2 end exponent space equals space K space left square bracket 0.09 right square bracket to the power of m space left square bracket 0.15 right square bracket to the power of n R subscript 3 space equals space 5.4 space cross times space 10 to the power of negative 3 end exponent space equals space k space left square bracket 0.15 right square bracket to the power of m space left square bracket 0.45 right square bracket to the power of n L e t s space d i v i d e space R 1 space b y space R 2 space w e space g e t space v a l u e space o f space m equals fraction numerator space 1.8 space cross times 10 to the power of negative 3 end exponent over denominator space 1.08 space cross times space 10 to the power of negative 2 end exponent end fraction space equals space space open square brackets fraction numerator 0.015 over denominator 0.09 end fraction close square brackets to the power of m space S o l v i n g space t h i s space w e space g e t space m equals space 1 S i m i l a r l y space b y space d i v i d i n g space R 1 space b y space R 3 space w e space g e t space v a l u e space o f space n space w h i c h space i s space n equals 1 N o w space p u t space v a l u e s space o f space n space a n d space m space i n space a n b o v e space e q n comma R a t e space o f space d i s a p p e a r a n c e space o f space B subscript 2 space equals space space k space left square bracket 0.015 right square bracket to the power of 1 space left square bracket 0.15 right square bracket to the power of 1 space 1.8 space cross times 10 to the power of negative 3 end exponent space equals space k space left square bracket 0.015 right square bracket to the power of 1 space left square bracket 0.15 right square bracket to the power of 1 K space equals fraction numerator space 1.8 space cross times 10 to the power of negative 3 end exponent over denominator 0.015 cross times 0.15 end fraction space equals space fraction numerator 1.8 space cross times 10 to the power of negative 3 end exponent over denominator 2.25 space cross times 10 to the power of negative 3 end exponent end fraction space equals space 0.8 T h e r e f o r e space R a t e space c o n s tan t space K space equals space 0.8 space l i t r e space m o l to the power of negative 1 end exponent space t i m e to the power of negative 1 end exponent space
Answered by Expert 16th May 2018, 1:23 PM
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