Respuesta :
Answer:
recession constant = 0.9819
Q(97) = 815.6910 m³/s
Explanation:
given data
on June 7, 2018
flow = 4790 m³/s
august flow declined = 1,631 m/s
time = 59 day from June 7, 2018 i.e on August 5, 2018
time = 97 days from June 7, 2018 i.e on September 12, 2018
solution
we know here equation that is
Q(t) = Q(o) [tex]e^{-at}[/tex]
here Q(t) is flow at any time t and Q(o) is initial flow and
K is recession constant i.e [tex]e^{-a}[/tex]
so first we find recession constant
Q(t) = Q(o) [tex]e^{-at}[/tex]
put here value
1631 = 4790 [tex]e^{-a(59)}[/tex]
take ln both side
-1.07733 = - 59 a
a = 0.01825
so
recession constant = [tex]e^{-a}[/tex]
recession constant = [tex]e^{-0.01825}[/tex]
recession constant = [tex]e^{-0.01825}[/tex]
recession constant = 0.9819
and
flow after 97 day that is on 12 September
Q(97) = 4790 [tex]e^{-0.01825(97)}[/tex]
Q(97) = 815.6910 m³/s
