(1 pt) A thermometer is taken from a room where the temperature is 23 o C to the

Question

(1 pt) A thermometer is taken from a room where the temperature is 23oC to the outdoors, where the temperature is 0oC. After one minute the thermometer reads 16oC.
(a) What will the reading on the thermometer be after 2 more minutes?
,
(b) When will the thermometer read 1oC?
minutes after it was taken to the outdoors.
(1 pt) A thermometer is taken from a room where the temperature is 23oC to the outdoors, where the temperature is 0oC. After one minute the thermometer reads 16oC.
(a) What will the reading on the thermometer be after 2 more minutes?
,
(b) When will the thermometer read 1oC?
minutes after it was taken to the outdoors.

Explanation / Answer

T = T_s + (T_0 - T_s)*e^(-kt)
==> 16 = 0 + (23 - 0)*e^(-k)
==> 16 = 0 + 23*e^(-k)
==> 16 = 23*e^(-k)
==> 16/23 = e^(-k)
==> -k = ln(16/23)
==> k = -ln(16/23) ? 0.363

a)

T = T_s + (T_0 - T_s)*e^(-kt)
==> T = 0 + (23 - 0)*e^[ -(0.363)(2) ]
==> T ~ 11.13

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