Athermometer is taken from an inside room to the outside, where the air temperature is 20° f. after 1 minute the thermometer reads 70° f, and after 5 minutes it reads 45° f. what is the initial temperature of the inside room

Using the Newton's law of cooling principle, the initial temperature of the inside room would be 79.44°F

According to the Newton's Law of Cooling :

The equation can be expressed thus :

- - - (1)

- - - - (2)

Divide (1) and (2) - - -

Take the ln

k = 0.173

The initial temperature is defined thus :

Therefore, the initial temperature is 79.44°F

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example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.