In a zero order reaction 20%of the reaction complete in 10s .how much time it will take to complete 50%of the reaction?

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Solution

$20 % o f t h e r e a c t i o n i s c o m p l e t e d w h i c h m e a n s t h a t l e f t a m o u n t o f A i s = 80$
$I n i t i a l a m o u n t o f a = 100$
$R e a c t i o n c o m p l e t e d i n = 10 s$
$H e n c e f o r t h e c a s e o f 50 % c o m p l e t i o n$
$L e f t a m o u n t o f A = 50 %$
$I n i t i a l a m o u n t o f A = 100$
$A = A_{o} - k t$
$80 = 100 - k \times 10$
$k = 2 m o l l^{- 1} s^{- 1}$
$F o r t h e 50 % c o m p l e t i o n o f r e a c t i o n$
$A = A_{o} - k t$
$50 = 100 - 2 \times t$
$2 t = 50$
$t = 25 s$
$H e n c e t i m e t a k e n t o c o m p l e t e 50 % o f t h e r e a c t i o n i s 25 s$

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