Chapter 1.6, Problem 48E

To determine

To Compare: The difference in room temperature and hot plate temperature in an avalanche lab and a normal lab.

Answer to Problem 48E

• In avalanche lab, the hot plate is warmer than the room by ${29}^{o}C$ and in a normal lab, the hot plate is warmer than the room by ${282}^{o}C$ .
• The difference in temperatures in a normal lab is greater than the difference in temperatures in an avalanche lab by about ${253}^{o}C$ .

Explanation of Solution

Given Information:

• Avalanche Lab room temperature is $-{30}^{o}C$ .
• Avalanche Lab hot plate temperature is $-1^{o}C$ .
• Normal Lab room temperature is ${18}^{o}C$ .
• Normal Lab room temperature is ${300}^{o}C$ .

Method: In each lab, to find out about by how much the hot plate temperature is greater than the room temperature, subtract the room temperature from hot plate temperature of each lab. Also, to subtract a number, add its opposite number.

Avalanche Lab: The hot plate temperature is greater than room temperature by $-1^{o}C-\left(-{30}^{o}C\right)$ .

The opposite integer of $-30$ is $30$ .

So, $-1-\left(-30\right)$ is $-1+30.$

And the value of $-1+30$ is $29$ .

Therefore, in an avalanche lab, the hot plate is warmer than the room by $29^{o}C$ .

Normal Lab: The hot plate temperature is greater than room temperature by ${300}^{o}C-{18}^{o}C$ .

And the value of $300-18$ is $282$ .

Therefore, in a normal lab, the hot plate is warmer than the room by $282^{o}C$ .

Comparison: The number $282$ is greater than $29$ by $282-29 = 253$ .

Therefore, the difference in temperature in a Normal Lab is $253^{o}C$ more than that of the difference in temperature in an Avalanche Lab.