Question

A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the air temperature is 10° F. After one-half minute the thermometer reads 40° F. What is the reading of the thermometer at t = 1 min? (Round your answer to two decimal places.) 13.75 Incorrect: Your answer is incorrect. ° F How long will it take for the thermometer to reach 20° F? (Round your answer to two decimal places.) 0.29 Incorrect: Your answer is incorrect. min

Answer 1

a. 70° F b. 0.17min

Step-by-step explanation:

The fahrenheit scale to time can be given with the following mathematical relation

`(f2-f0)/(f1-f0) =(t2-t0)/(t1-t0)`

f2=?

f0=10° F

f1=40° F

t2=1min

t0=0

t1=1/2min

`(f2-10)/(40-10) =(1-0)/(.5-0)`

`(f2-10)/(30) =(1)/(.5)`

f2-10=60

f2=70° F

b. Goin by the previous relation

`(f2-f0)/(f1-f0) =(t2-t0)/(t1-t0)`

`(40-10)/(20-10) =(.5-0)/(t1-0)`

30/10=0.5/t0

30t0=5

t0=1/6

t0=0.16666666666666666666666666666667

t0=0.17min

from this, it can concluded that temperature outside increases with time