After a gas furnace comes on, it takes 45 minutes for a room's temperature to warm 17 degrees Celsius to 22 degrees Celsius. What is the rate of temperature change of the air in the room?
17 degrees in 45 minutes
= 17/45 = .378 degrees/minute
To find the rate of temperature change in the room, you need to calculate the change in temperature per unit of time.
The initial temperature of the room is 17 degrees Celsius, and it takes 45 minutes for it to warm up to 22 degrees Celsius. So, the change in temperature is 22 degrees Celsius - 17 degrees Celsius = 5 degrees Celsius.
Now, we need to convert the time from minutes to hours, as the rate of temperature change is usually expressed in degrees Celsius per hour. There are 60 minutes in an hour, so 45 minutes is equal to 45/60 = 0.75 hours.
To calculate the rate of temperature change, divide the change in temperature by the time taken:
Rate of temperature change = Change in temperature / Time taken
Rate of temperature change = 5 degrees Celsius / 0.75 hours
Rate of temperature change ≈ 6.67 degrees Celsius per hour
Therefore, the rate of temperature change of the air in the room is approximately 6.67 degrees Celsius per hour.