Question 11 of 25beginner🔧 ApplyNumerical3 marks

A freezing process requires that the room temperature be lowered from 32°C at the rate of 5°C every hour. What will be the room temperature 10 hours after the process begins?

Correct Answer

Given: Initial temperature = 32°C Rate of temperature decrease = 5°C per hour (represented as −5°C per hour)

Calculation: Total decrease in 10 hours = 10 × (−5) = −50°C Final temperature = 32 + (−50) = −18°C

Answer: The room temperature 10 hours after the process begins will be −18°C.

Exercise: Figure it Out (Section 4) | Q: 2 | (Page Page 16)
For More Understanding

Explanation

The chapter explains that when temperature decreases, we can model it using negative integers. The temperature drops by 5°C every hour, so in 10 hours it drops by 10×510 \times 5 = 50°C. Starting from 32°C and dropping 50°C: 32 − 50 = −18°C. Alternatively, we can write: 32 + 10 × (−5) = 32 + (−50) = −18°C.

Solution Steps

  1. Step 1: Initial temperature = 32°C

  2. Step 2: Rate of temperature decrease = 5°C per hour (represented as −5°C per hour)

  3. Step 3: Total decrease in 10 hours = 10 × (−5) = −50°C

  4. Step 4: Final temperature = 32 + (−50) = −18°C

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