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gases are not
a condensed phase
solids ___ be compressed
cannot , gases can be
density of gas is
way lower than density of liquid
the higher the pressure
the more dense the gas
the lower the temperature
the more dense the gas
characteristic of gas
Simple molecular formulas
Low molecular masses (light)
Nonmetallic elements
Rapid expansion to fill all available volume
Highly compressible
3 types of gases
monoatomic
diatomic
polyatomic
gases phase if
T (temperature) > BP (boiling point)
vapors
the gaseous state of substances that are liquids or solids under ordinary conditions
formation of homogeneous mixture
Molecules are relatively far apart
Very few interactions between gas molecules
Total Pressure Gas Mixture =
Sum of Individual Gas Pressures
Gases exert pressure on
any surface with which they are in contact
pressure (P) corresponds with
force (F) acting on an area (A)
pressure formula
p=f/a
(pa[n/m²])= (N[kgm/s²])/(m²)
standard atmospheric pressure
typical pressure at sea level - one 1atm
pressure
freq of collision of gas molecules with walls of container
4 variables to define physical condition of gas
Temperature
Pressure
Volume
Amount of gas
dalton’s law
In a mixture of non-reacting gases, the total pressure exerted is equal to the sum of the partial pressures of the individual gases
Fahrenheit to Celsius formula
f- 32 × 5/9 =c
boiling point
100 C / 373 K
freezing point
0 C/ 273.5K
absolute 0
-273 C / 0 K
Absolute-temperature scale
Kelvin scale
0 K, the absolute zero is -273.15 °C
celsius to kelvin formula
𝑇(°𝐶) + 273.15 = 𝑇(𝐾)
stp / standard conditions for gases
T= 273 K (=0C) and P = 1atm (10^5, Pa=14.7 psi
volume and pressure
inversely
temperature and volume
directly
amount of molecules and volume
directly
boyle
volume increases as pressure decreases and decreases as pressure increases
charles
volume increases as temperature increases and decreases as temperature decreases
avogadro
The volume of a gas maintained at constant temperature and pressure is directly proportional to the number of moles of the gas
gay lussac
The pressure of a gas is directly proportional to its absolute temperature when the volume is held constant
ideal gas
hypothetical gas
ideal gas law
PV = nRT
Two assumptions when dealing with ideal gases
the molecules of an ideal gas do not interact with one another
the combined volume of the molecules is much smaller than the volume the gas occupies (volume occupied by the molecule is negligible)
R
gas constant
Measured volume for given values of P, n, and T might
differ from the volume calculated from PV = nRT
as molar mass increases
behavior deviates from ideal gas
combined gas law
(P1V1)/(n1T1)=(P2V2)/(n2T2)
When a problem involves a comparison of two gases or two states (initial and final) of a single gas, us
general gas equation
else use ideal gas
molar mass equation
MM= d (or m/V) * RT/P
To find the molar mass of a substance
add the atomic masses of all the atoms in the substance. The units for molar mass are grams per mole (g/mol).
when does volume of gas increase
when external pressure decreases
dalton’s law
The total pressure of a mixture of gases equals the sum of the pressures that each would exert if it were present alone
ideal gas state
high temp, low pressure
At constant temperature and constant volume, the total pressure of a gas sample is determined by
the total number of moles of gas present, whether that total represents just one gas or a mixture of gases
mole fraction (Xi)
Xi= moles of gas i/ total moles of gas
=ni/nt
Partial pressure in terms of mole fraction and Pt
Pi=XiPt
Gas Laws
Good prediction for gas behavior
Don’t explain what’s happening on the molecular level
19th century: Physicists related gas physical properties to
the motion of individual gas molecules
Molecular movements
form of energy
Energy
work done
= Force x Distance
Kinetic energy
is a form of energy that an object or a particle has by
reason of its motion.
If work is done on an object by applying a net force,
the object speeds up and thereby gains kinetic energy
kinetic energy formula
KE= ½ mv²
The kinetic molecular theory relies on 5 assumptions:
1. Gases consist of large numbers of molecules that are in continuous, random motion.
2. The combined volume of all the molecules of the gas is negligible relative to the total volume in which the gas is contained.
3. Attractive and repulsive forces between gas molecules are negligible.
4. Energy can be transferred between molecules during collisions (Elastic
Collisions) but, as long as temperature remains constant, the average
kinetic energy of the molecules does not change with time
5. The average kinetic energy of the molecules is proportional to the
absolute temperature. At any given temperature the molecules of all
gases have the same average kinetic energy.