Molecular physics. Lecturer: Kedruk Yevgeniya Tel.: +77770206229 Lecture 1. Molecular physics. Introduction. Elements & Atoms An atom refresher • Matter is anything that takes up space and has mass. • All matter is made of atoms • Atoms are the building blocks of matter, sort of how bricks are the building blocks of houses. An atom refresher An atom has three parts: • Proton = positive • Neutron = no charge • Electron = negative The proton & neutron are found in the center of the atom, a place called the nucleus. The electrons orbit the nucleus. Picture from http://education.jlab.org/qa/atom_model_03.gif What are elements? • Elements are the alphabet to the language of molecules. • To make molecules, you must have elements. • Elements are made of atoms. While the atoms may have different weights and organization, they are all built in the same way. Graphic from http://education.jlab.org/atomtour/fact2.html More about Elements.. • Elements are the building blocks of all matter. • The periodic table is a list of all of the elements that can build matter. It’s a little like the alphabet of chemistry. • The periodic table tells us several things… Periodic Table Atomic Number: Number of protons and it is also the number of electrons in an atom of an element. Elements Name Atomic Mass/Weight: Number of protons + neutrons. Element’s Symbol: An abbreviation for the element. 8 O Oxygen 16 Atom Models • There are two models of the atoms we will be using in class. • Bohr Model • Lewis Dot Structure Bohr Model • The Bohr Model shows all of the particles in the atom. • In the center is circles. Each circle represents a single neutron or proton. Protons should have a plus or P written on them. Neutrons should be blank or have an N. • In a circle around the nucleus are the electrons. Electrons should have a minus sign or an e. - + + - Electrons have special rules…. • You can’t just shove all of the electrons into the first orbit of an electron. • Electrons live in something called shells or energy levels. • Only so many can be in any certain shell. Nucleus 1st shell 2nd shell 3rd shell Adapted from http://www.sciencespot.net/Media/atomsfam.pdf Electrons have special rules…. • You can’t just shove all of the electrons into the first orbit of an electron. • Electrons live in something called shells or energy levels. • Only so many can be in any certain shell. • The electrons in the outer most shell of any element are called valance electrons. So let’s try it…. • How to draw a Lithium atom • First, look at the Periodic Table • Second, determine the number of protons (Look @ the atomic number) • Then determine the number of neutrons (Atomic mass – atomic number) • Then determine the number of electrons (Look @ the atomic number) 3 Li Lithium 7 So let’s try it…. Protons = 3 3 - Li + + + - Lithium - Electrons = 3 2 in the 1st shell, 1 in the 2nd shell 7 Neutrons = 4 (7-3=4) Lewis Dot Structure • The Lewis Dot Structure is a bit different from the Bohr model. • It only shows the element symbol and it’s outer most electron shell. - - - + + + + - - + + + + - - • • O •• •• - Describing a sample of a gas • 4 variables are needed to completely describe a sample of a gas: • Temperature • Pressure • Volume • Amount (number of moles) of gas Ideal Gas Law How can you calculate the amount of a contained gas when the pressure, volume, and temperature are specified? Ideal Gas Law Suppose you want to calculate the number of moles (n) of a gas in a fixed volume at a known temperature and pressure. • The volume occupied by a gas at a specified temperature and pressure depends on the number of particles. • The number of moles of gas is directly proportional to the number of particles. • Moles must be directly proportional to volume. Ideal Gas Law You can introduce moles into the combined gas law by dividing each side of the equation by n. • This equation shows that (P V)/(T n) is a constant. • This constant holds for what are called ideal gases—gases that conform to the gas laws. P1 V1 T1 n1 = P2 V2 T2 n2 Ideal Gas Law If you know the values for P, V, T, and n for one set of conditions, you can calculate a value for the ideal gas constant (R). P R= V Tn Ideal Gas Law If you know the values for P, V, T, and n for one set of conditions, you can calculate a value for the ideal gas constant (R). • Recall that 1 mol of every gas occupies 22.4 L at STP (101.3 kPa and 273 K). P R= V Tn Ideal Gas Law If you know the values for P, V, T, and n for one set of conditions, you can calculate a value for the ideal gas constant (R). • Recall that 1 mol of every gas occupies 22.4 L at STP (101.3 kPa and 273 K). • Insert the values of P, V, T, and n into (P V)/(T n). P V R= 101.3 kPa 22.4 L = Tn R = 8.31 (L·kPa)/(K·mol) 273 K 1 mol Ideal Gas Law •The gas law that includes all four variables—P, V, T, n—is called the ideal gas law. PV=nRT or PV = nRT Ideal Gas Law When the pressure, volume, and temperature of a contained gas are known, you can use the ideal gas law to calculate the number of moles of the gas. •How would you rearrange the ideal gas law to isolate the temperature, T? nR A. PV C. T= T= nR PV B. nV T= PR nP D. T= RV •How would you rearrange the ideal gas law to isolate the temperature, T? nR A. B. T= PV C. PV nV T= PR T= nR nP D. T= RV Key Concepts and Key Equation •When the pressure, volume, and temperature of a contained gas are known, you can use the ideal gas law to calculate the number of moles of the gas. Real gases differ most from an ideal gas at low temperatures and high pressures. Key Equation: ideal gas law P V = n R T or PV = nRT Glossary Terms • ideal gas constant: the constant in the ideal gas law with the symbol R and the value 8.31 (L·kPa)/(K·mol) • ideal gas law: the relationship PV = nRT, which describes the behavior of an ideal gas BIG IDEA • Kinetic Theory • Ideal gases conform to the assumptions of kinetic theory. • The behavior of ideal gases can be predicted by the gas laws. • With the ideal gas law, the number of moles of a gas in a fixed volume at a known temperature and pressure can be calculated. • Although an ideal gas does not exist, real gases behave ideally under a variety of temperature and pressure conditions. Thank you for your attention