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Mathematics
Problem
The rate of a reaction is given by
d
x
d
t
=
K
(
a
−
x
)
1
+
b
x
\frac{dx}{dt} = \frac{K(a-x)}{1+bx}
d
t
d
x
=
1
+
b
x
K
(
a
−
x
)
, where
a
a
a
is the initial concentration of the reactant and
K
,
b
K, b
K
,
b
are constants.
x
x
x
is the concentration of product at time
t
t
t
. What is half-life of this reaction?
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