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Applications Questions Period _____ Date _________
1) How much energy does it take for your fridge to cool 2.0 Liters of soda from room temperature (about 22 OC) to Сfridge temperature (about 4 degrees OC)? Count the soda as water for its specific heat.
2) Have you ever noticed how a room full of people can heat up the room? HereТs a rough calculation on how warm a group of people could make a room. I will break it down into steps.
a) First, write down the equation for heat and solve for DЁT, because we are trying to find how much the temperature of the room will change. You can see from your equation that we will need 3 numbers: q, m, and C.
b) Finding the mass of the air in the room: the density of air is about 0.0012 g/cm3. The room is about 600. cm x 500. cm x 300. cm. Find the volume of the room in cm3. Then, use your density equation to find the mass of the air in the room.
c) The heat capacity of air is about 1.00 J/gOC. ThereТs nothing to do in this step; IТm just telling you.
d) Finding q, or the total amount of energy added to the air from the people. This step is going to take a while. Over the course of an hour, suppose there are 25 people in our classroom. Each person burns about 100 Calories in an hour. How many Calories is that in total?
e) Now, recall that a food УCalorieФ (spelled with a capital C) is actually a kilocalorie, or 1000 calories. So, take your answer from (a) and convert it into (little c) calories.
f) 1 calorie = 4.18 Joules. Convert your answer from (b) into Joules. This is the total amount of energy the group of people released into the air.
g) Now, put all together. Go back to (a) and plug your values for m, C, and q into the equation. Find out how much the temperature of the room would go up.
h) Why is our answer much higher than seems reasonable?
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