# IDEAL GAS LAW PVn RT IDEAL GAS LAW

• Slides: 13

IDEAL GAS LAW PV=n. RT

IDEAL GAS LAW P=pressure (in k. Pa or atm only!) V= volume in Liters n = number of moles R= Ideal Gas Law Constant T= Temperature in KELVIN

IDEAL GAS LAW R= 8. 31 k. Pa*L Mole*K Or R=. 0821 atm*L mole * k **Units must cancel in what you plug into the equation!!!

IDEAL GAS LAW Ideal gases are those that are: • Not affected by intermolecular forces • Behave according to the Kinetic molecular theory

IDEAL GAS LAW • Avagadro’s Principle: Equal volumes of gases at the same temperature and pressure contain the same numbers of particles 1 mole= 22. 4 L of gas= 6. 023 x 1023 atoms/molecules

IDEAL GAS LAW • In reality, no gas is ideal. • Under the right conditions, calculations with the ideal gas law will be very close to real gases.

IDEAL GAS LAW GRAPH • Shows how accurately the ideal gas law can be used to estimate the characteristics of a real gas.

IDEAL GAS LAW GRAPH

IDEAL GAS LAW GRAPH • The closer the real gas is to the ideal gas line (constant), the better the estimation will be.

IDEAL GAS LAW GRAPH

Examples 1. 3. 25 g of Xe. F 4 gas is placed into an evacuated 5. 00 liter container at 80. 0 °C. What is the pressure in the container?

Examples 2. What is the temperature if 1 mole of O 2 occupying 100 L of volume has a pressure of 20 Pa (1000 Pa=1 KPa)?

Examples 3. A 334 m. L cylinder for use in chemistry lectures contains 8. 470 g of helium at 23 o. C. How many grams of helium must be release to reduce the pressure to 145 atm assuming ideal gas behavior? (Atomic weight: He = 4. 00).