Question

6. A certain freezing process requires that room temperature be lowered from 40°C at the rate of 5°C every hour. What will be the room temperature 10 hours after the process begins?​

Answer 1

Step-by-step explanation:





A certain freezing process requires that room temperature be lowered from 40 degree Celsius at rate of 5 degree Celsius every hour. What will be the room temperature 10 hours after the process begins?

The rate of change is defined as the change in quantity with respect to time.

Answer: If a certain freezing process requires that room temperature be lowered from 40 degree Celsius at rate of 5 degree celsius every hour,  the room temperature 10 hours after the process begins will be -10 degrees Celcius.

Let's look into the solution.

Explanation:

The initial temperature of the room = 40 degrees Celcius

Rate of decrease in temperature = 5 degree Celcius per hour

Time after which temperature is recorded = 10 hours

The final temperature of the room = Initial temperature - rate × time  [Since the temperature is lowering every hour]

Final temperature = 40 - 5 × 10

Final temperature = - 10 degree Celcius.

Answer 2

Let us assume that the lowered temperature is negative,

Initial temperature = 40 degree C

Change in temperature per hour = -5 degree C

Change in temperature after 10 hours = (-5) × 10 = -50 degree C

∴The final room temperature after 10 hours of freezing process = 40oC + (-50 degree C )

= -10 degree Celsius

The room temperature 10 hours after the process begins= -10 degree Celsius