Question

A world record for the greatest change in temperature was set in Spearfish, SD, on January 22, 1943. At 7:30 A.M. the temperature was - 4.0 degrees F; two minutes later the temperature was 45 degree F. Find the average rate of temperature change during those two minutes in kelvins per second.

delta T/delta t= _____ K/s

Answer 1

The average rate of temperature change during the two minutes is 0.23645 K/s.

Step-by-step explanation:

To find the average rate of temperature change, we need to calculate the change in temperature and the change in time. The change in temperature can be determined by subtracting the initial temperature from the final temperature: 45 - (-4) = 49 degrees F.

The change in time is 2 minutes or 120 seconds. To convert Fahrenheit to Kelvin, we use the formula: K = (F + 459.67) × (5/9). Therefore, the initial temperature in Kelvin is (-4 + 459.67) × (5/9) = 252.038 K, and the final temperature in Kelvin is (45 + 459.67) × (5/9) = 280.372 K.

The average rate of temperature change is the change in temperature divided by the change in time: 49 degrees F / 120 seconds = 0.40833 degrees F/s. Converting this to Kelvin per second: (280.372 K - 252.038 K) / 120 seconds = 0.23645 K/s.