Question

A thermometer, reading 40℃, is brought into an air-conditioned room at 20℃. after two minutes the reading is 35℃ . 1. how long does it take until the thermometer is practically at room temperature, say 20.1℃?

Answer 1

The thermometer will be practically at room temperature, around 20.1℃, after approximately 3.98 minutes.

Step-by-step explanation:

To find out how long it takes until the thermometer is practically at room temperature, we can use the formula to determine the rate of temperature change:

(ΔT / Δt) = (T2 - T1) / t

Where:

ΔT is the change in temperature, T2 is the final temperature, T1 is the initial temperature, and t is the time taken. Rearranging the formula, we get:

t = (T2 - T1) / (ΔT / Δt)

Substituting the values:

t = (20.1 - 40) / (35 - 40)

t = -19.9 / (-5)

t ≈ 3.98 minutes