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Zielflug [23.3K]
4 years ago
10

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!

Mathematics
1 answer:
kipiarov [429]4 years ago
6 0

T(t) = T_s + (T_0 - T_s)e^{-kt}

T(t) - T_s = (T_0 - T_s)e^{-kt}

\dfrac{ T(t) - T_s}{T_0 - T_s} = e^{-kt}

\ln \dfrac{ T(t) - T_s}{T_0 - T_s} = -kt

k = - \dfrac{ \ln \dfrac{ T(t) - T_s}{T_0 - T_s} }{t}

OK now let's plug in the numbers.

We have t=15 minutes, T_0 = 80 C, Ts = 50, T(15)=60 C,

k = - \dfrac{ \ln \dfrac{ 60 - 50}{80 - 50} }{15 \textrm{ min}}

k = - \frac{1}{15} \ln \frac 1 3

k = \frac{1}{15} \ln 3

k \approx 0.07324 per minute

Answer: B


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