Most gases exist as molecules (except for the inert gases as individual atoms)
The molecules of gases are randomly distributed and far apart
Gases can be easily compressed
The volume or the space occupied by the molecules themselves is negligible as compared to the volume of the container, so the volume of the container can be taken as the volume of the gas
Gases have low densities than solids and liquids
The attractive forces between molecules (intermolecular force) are negligible
Most substances that are gaseous at normal conditions have low molecular mass
Measurable Properties of Gases
Pressure
Volume
Temperature
Amount of gas
Density
Pressure
Force exerted by gas molecules as they collide with each other
Volume
Space occupied by the gas particles at STP conditions
Temperature
Measure of the average KE (kinetic energy) of the molecules
Amount of gas
Measured in mol
Density
Mass of gas occupying a certain volume at specified T and P
Conversion of Temperature
1. 0C to K: 0C + 273
2. K to 0C: K - 273
At STP (Standard Temperature and Pressure) or SC (Standard Conditions): 1 atm (atmosphere) = 760 torr = 760mmHg, T = 00 C = 273 K
At absolute 0 (0 K), molecules stop moving entirely, the gas is as cold as anything it can get
Postulate
Claim, suggestion, assume
Kinetic Molecular Theory
Describes the behavior of IDEAL GASES at the particle level
Postulates of Kinetic Molecular Theory
The particles in a gas are in CONSTANT, RANDOM motion
The combined volume of the particles is negligible
The particles exert NO FORCES on one another
Any collision between the particles is completely elastic (NO TRANSFER OF ENERGY)
The average KE of the particle is proportional to the temperature in K
Boyle's Law
At a given temperature, the VOLUME occupied by a gas is INVERSELY PROPORTIONAL to the PRESSURE
Boyle's Law
P1V1 = P2V2
High Pressure
Low Volume
Low Pressure
High Volume
Boyle's Law Sample Problems
Solving for final volume given initial volume, pressure, and final pressure
Solving for final volume given initial volume, pressure, and final pressure
Practical Applications of Boyle's Law
Inflating tires
Breathing (Respiration)
Soda bottle
Working of a syringe
Charles' Law
At a given Pressure, the VOLUME occupied by a gas is DIRECTLY PROPORTIONAL to the absolute TEMPERATURE of the gas
Charles' Law
V2 = (V1T2)/T1
High Temperature
High Volume
Low Temperature
Low Volume
Charles' Law Sample Problems
Solving for final volume given initial volume, temperature, and final temperature
Solving for final temperature given initial volume, final volume, and initial temperature
0 cm3
T2 = 42,450 K
T2 = 169.8 K
An inflated balloon with a volume of 0.75 L at 300C was placed inside the freezer where the temperature is -100C. Find out what will happen to the volume of the balloon if the pressure remains constant. Support your answer with computation.
A gas occupies 900.0 mL at a temperature of 27.0 °C. What is the volume at 132.0 °C?
When the volume of a gas is changed from ___ mL to 852 mL, the temperature will change from 315 °C to 452 °C. What is the starting volume?
A balloon filled with helium gas occupies a volume of 2.5 liters at a temperature of 20°C. If the balloon is heated to 50°C, what will be its new volume if the pressure remains constant?
A sample of nitrogen gas has a volume of 150 mL at 300 K. If the temperature is increased to 450 K, what will be the volume of the gas, assuming the pressure is unchanged?
Hot Air Balloon
The air inside the balloon, when heated causes the air to expand; thus, becomes lighter and so it rises.
Inflated balloon
Shrinks when placed inside the refrigerator.
Bicycle tires
Become flat during cold weather because the air inside the bicycle tires shrink.
Gay-Lussac's Law
At constant volume, the PRESSURE of a fixed mass of gas is DIRECTLY PROPORTIONAL to the absolute TEMPERATURE.
The pressure of a nitrogen gas inside a rigid tank is 1.5 atm at 300C. What will be the resulting pressure if the tank is cooled to 00C?
A certain light bulb containing argon has a pressure of 1.20 atm at 18°C. If it will be heated to 85°C at constant volume, what will be the resulting pressure? Is it enough to cause sudden breakage of the bulb?
A 30 L sample of Nitrogen inside a rigid, metal container at 200C is placed inside an oven whose temperature is 500C. The pressure inside the container at 200C was 3 atm. What is the pressure of the nitrogen after its temperature is increased to 500C?