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Mathematics
Problem
The rate expression for a reaction is
−
d
c
d
t
=
α
c
1
+
β
c
-\frac{dc}{dt} = \frac{\alpha c}{1 + \beta c}
−
d
t
d
c
=
1
+
β
c
α
c
(
α
\alpha
α
and
β
>
0
\beta > 0
β
>
0
). The half life of the reaction can be given by : a.
1
α
ln
2
+
β
c
0
α
\frac{1}{\alpha} \ln 2 + \frac{\beta c_0}{\alpha}
α
1
ln
2
+
α
β
c
0
b.
1
α
ln
2
+
β
c
0
2
α
\frac{1}{\alpha} \ln 2 + \frac{\beta c_0}{2\alpha}
α
1
ln
2
+
2
α
β
c
0
c.
ln
2
+
β
c
0
2
\ln 2 + \frac{\beta c_0}{2}
ln
2
+
2
β
c
0
d.
ln
2
+
β
c
0
2
α
\ln 2 + \frac{\beta c_0}{2\alpha}
ln
2
+
2
α
β
c
0
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