Energy

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Energy

• Energy is defined as having the ability to do work

• Energy allows objects to move and to change

• Walking, lifting, chemical reactions, etc. involve work

• Two kinds of energy:

- Kinetic = energy of motion (e.g. climbing ladder)

- Potential = stored energy (e.g. object at top of ladder)

• Potential and kinetic energy can be interconverted

• Kinetic and potential energy come in many forms

(heat, light, electrical, mechanical, chemical, rotational)

• Energy produced by chemical reactions can be used to do work in biological systems (ATP produced by oxidation of glucose powers many cellular processes)

Measuring Heat

• Heat is the amount of thermal energy transferred between two objects at different temperatures

(Not the same as temperature, a measure of molecular kinetic energy that predicts direction of heat flow)

• Heat is usually measured in units of calories (cal) or joules (J); kcal or kJ are used for larger amounts of heat

• Specific heat = amount of heat to raise the temperature of 1 gram of a substance by 1ºC

• Water has the highest specific heat of any substance

• Water keeps the temperature stable around oceans and large lakes and also in the body

• Metals have low specific heats, so they heat up quickly

Calculations Using Specific Heat

• Specific heat is used for temperature changes

• Heat (gained or lost) = mass x  T x Sp. Heat

• Example 1: How much heat is absorbed (in cal) when

25 g of water is heated from 0.0ºC to 100.0 ºC (given that specific heat of water is 1.00 cal/g ºC )?

25 g x 100.0 ºC x 1.00 cal/g ºC = 2.5 x 10 3 cal

• Example 2: How much heat is released (in kcal) when

100.0 g of water cools from 22ºC to 0.0ºC ?

100.0 g x 22ºC x 1.00 cal/g ºC x 1 kcal/1000 cal

= 2.2 kcal

Attractive Forces between Molecules

• Molecules are held together in liquids and solids by intermolecular forces

• Forces are due to attraction of opposite charges

Strength of

Force

Very strong

Moderately strong

Type(s) of

Force ionic

H-bonding, dipoledipole

Charge full charges partial charges

Weak dispersion temporary partial charges

Type of

Compound ionic polar covalent nonpolar covalent

States of Matter

• Recall: matter = mass + volume (occupies space)

• Matter exists in 3 physical states: solid, liquid and gas

• Solids: definite shape and volume, strong intermolecular forces (ionic, H-bonding)

• Liquids: definite volume, take shape of container, moderate intermolecular forces (H-bond, dipole-dipole, dispersion)

• Gases: takes shape and volume of container, no intermolecular forces (particles are too far apart)

• Physical state is temperature (and pressure)-dependent

• At lower T compounds have lower KE, so even compounds with weak intermolecular forces can form solids at very low temperatures

Melting and Freezing

• When matter is converted from one physical state to another it’s called a “change of state”

• Solid goes to liquid = melting

- Heat increases movement of particles in solid

- At melting point E is high enough to overcome strong intermolecular attractive forces

- This E is called the “heat of fusion”

- Solid absorbs heat until all is melted, then can rise in T

• Liquid goes to solid = freezing

- Freezing point = melting point

- At melting/freezing point both states coexist at equilibrium (melting rate = freezing rate)

Calculations Using Heat of Fusion

• Use heat of fusion to calculate heat required to melt or heat removed to freeze (80. cal/g for H

2

O)

• Heat = mass x heat of fusion

• Example: If 12.0 g of water at 0.0ºC is placed in the freezer, how much heat (in kJ) must be removed from the water to form ice cubes?

Heat = 12.0 g x (80. cal/g) = 960 cal

960 cal x (4.18 J/cal) x (1 kJ/1000 J) = 4.0 kJ

Boiling and Condensation

• Liquid goes to gas = evaporation

- Happens when enough heat is added to overcome attractive forces (heat increases KE of liquid particles)

- This E is called “heat of vaporization”

• Gas goes to liquid = condensation

- Condensation point = boiling point

• At boiling point bubbles of gas form throughout liquid and rise to top

• In open container, liquid can all evaporate

• In closed container, liquid reaches equilibrium with gas

(evaporation rate = condensation rate)

• Compounds with stronger intermolecular forces have higher boiling points (H

2

O higher than F

2

)

Calculations Using Heat of Vaporization

• Use heat of vaporization to calculate heat required to vaporize or heat removed to condense (540 cal/g for water)

• Heat = mass x heat of vaporization

• Example: How much heat is released (in kcal) when 25.0 g of steam condenses at 100.0ºC

Heat = 25.0 g x (540 cal/g) = 13500 cal

13500 cal x 1 kcal/1000 cal = 14 kcal

Combined Energy Calculations

• Calculate each step separately, then total them

• Example: How much heat (in kcal) is required to warm 10.0 g of ice from -10.0 ºC to 0.0 ºC, melt it, then warm it to 10.0 ºC ?

Heat = mass x  T x specific heat

= 10.0 g x 10.0 ºC x 1.00 cal/g ºC = 1.00 x 10 2 cal

Heat = mass x heat of fusion

= 10.0 g x 80. cal/g = 8.0 x 10 2 cal

Heat = mass x  T x specific heat

= 10.0 g x 10.0 ºC x 1.00 cal/g ºC = 1.00 x 10 2 cal

Total heat = 1.00 x 10 2 cal + 8.0 x 10 2 cal + 1.00 x 10 2 cal

= 1.0 x 10 3 cal

1.0 x 10 3 cal x 1 kcal/1000 cal = 1.0 kcal

Heating and Cooling Curves

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