Question

Engr 213

(1 point) A thermometer is taken from a room where the temperature is 19°C to the outdoors, where the temperature is -15°C. After one minute the thermometer reads 8°C (a) What will the reading on the thermometer be after 2 more minutes? (b) When will the thermometer read-14°C? inutes after it was taken to the outdoors

Answer 1

Hey,

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a)

T=Ta+(T0-Ta)*exp(-k*t)

At t=1

8=-15+(19+15)*exp(-k)

exp(-k)=23/34

k=log(34/23)=0.3909

So, at t=3

T=-15+(19+15)*exp(-k*3)=-4.4749

b)

-14=-15+(19+15)*exp(-k*t)

1/34=exp(-k*t)

t=log(34)/k=9.0219

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