A substance A undergoes a reaction such that its concentration at any time t (in seconds) can be represented by the equation [ A t ] 4 = ( t + 1 ) 1 . If the rate of disappearance of ' A

Question

A substance A undergoes a reaction such that its concentration at any time t (in seconds) can be represented by the equation [ A t ​ ] 4 = ( t + 1 ) 1 ​ . If the rate of disappearance of ' A ' at the concentration, [ A ] = 0.2 M is x × 1 0 − 5 then calculate x .

TestHub · Accepted Answer

[ A ] [ A ] 4 4 [ A ] 3 ⋅ d t d [ A ] ​ ∴ − d t d [ A ] ​ ​ = t + 1 1 ​ = − ( t + 1 ) 2 1 ​ = − [ A ] 8 = 4 [ A ] 5 ​ = 4 ( 0.2 ) 5 ​ = 8 × 1 0 − 5 M s − 1 ​ Ans. x = 8

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