Learning Objectives

Energy

Energy is simply defined as the capacity to do work or supply heat. Work is defined as a dynamic change such as an object moving a distance against a force.

Kinetic energy is the energy of a mass in motion.

Potential energy is defined as stored energy. Can you think of any examples of potential energy?

What are the ways in which energy is produced for our consumption?

Transfer of Thermal Energy

A common unit of energy is the calorie. A calorie is defined as the amount of heat that is needed to raise the temperature of one gram of water one degree centigrade. Modern convention uses a unit of energy called a joule. A calorie is equal to 4.184 joules. A joule is approximately the energy needed to lift 2000 grams a distance of 10 centimeters.

Heat is transferred by either direct transfer from one object touching another or by the emission of radiation in the form of infrared radiation. Two results can occur as a result of this transfer of thermal energy. A substance can undergo either a change in temperature or a change in physical state.

When a substance exchanges heat with its surroundings without changing its physical state, the substance will undergo a change in temperature. This change in temperature depends on a property called specific heat capacity.

Specific heat capacity is the "heat needed to produce a given temperature change (in Celsius or Kelvin) per gram of substance" and is expressed in the units J/gK. Specific heat capacity depends on both the type of substance and the mass of the substance. The "D" means "change in" and "q" represents the quantity of heat.

DT and q can have either negative or positive signs and Csp will always have a positive sign. The convention used is “q” has a positive value if heat is added to the substance from its surroundings and a negative value if the substance loses heat to its surroundings. Heat capacity can be used just like any other conversion factor except that you have to multiply by more measured quantities.

The specific heat capacity of water is 1 calorie/(gram x degree). How many calories are needed to raise the temperature of 50 g of water 10 oC?

The specific heat capacity of aluminum is 0.217 calorie/g deg. How many calories are needed to raise the temperature of 50 g of aluminum 10 oC?

Notice that considerably less heat was needed to heat the aluminum than to heat the water. The high specific heat capacity of water is very important as a heat moderator.  It takes a large quantity of heat to significantly change the temperature of a large mass of water in an ocean or large lake. It also is difficult to remove the heat from a large quantity of water. The oceans and lakes thus moderate temperatures on land and the aquatic life in these bodies of water or on the land by these bodies of water do not experience dramatic, rapid temperature changes. Most of the hottest and coldest regions on Earth are those regions that are distant from large bodies of water. Our body temperature also remains fairly constant due to the fact that we are made up of 70-80% water.

Changes of Physical State 

When the physical state of a substance is changed, heat is either absorbed or liberated but the temperature remains constant.

The heat required to melt ice without any increase in the temperature of the system is equal to 80 calories/g. This is called the heat of fusion and it relates to the energy needed to break the hydrogen-bonds that are holding the water molecules together in the solid state.

The heat required to boil water without an increase in temperature is equal to 540 calories/g. This is called the heat of vaporization and it relates to the energy needed to break the hydrogen-bonds holding the water molecules together in the liquid state.

The energy of a hydrogen-bond in water is about 5% of the energy of the hydrogen-oxygen chemical bond energy. Although the energy of the hydrogen-bond is small it has a significant effect on the amount of energy that is required to melt ice or boil water.

The heat of fusion and the heat of vaporization can also be used as conversion factors.

How many calories will it take to melt 50 g of ice at 0 oC to water at 0 oC?

Problems

1. How many calories are required to raise the temperature of 5 grams of water from 10oC to 15oC?

2. What are the methods by which electrical energy can be generated?  What are the major disadvantages associated with each method?

3. How many calories will it take to boil 100 g of water if the water is already at 100 oC (the boiling point of water)?

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Copyright © January 2001 by Richard C. Banks...all rights reserved.