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states the volume of a fixed amount of gas held at constant temperature varies inversely with pressure
Boyle’s Law
states the volume of a given amount of gas is directly proportional to its Kelvin temperature at constant pressure
Charles’ Law
states that equal volumes of gases at the same temp and pressure contain an equal number of particles
Avogadro’s Law
states the pressure of a fixed amount of gas varies directly with the kelvin temperature when the volume remains constant
Gay-Lussac
Boyle’s equation
P1V1 = P2V2
Charles’ Equation
T1/V1= T2 / V2
Gay Lussac Equation
P1 / T1 = P2 / T2
Avogadro’s Equation
V1 / n1 = V2 / n2
Relationship between Boyle’s Law
Inverse (1 doubles other halves vice versa)
Charles’ Law Relationship
Direct Relation (As V increase T increases vice versa)
Gay Lussac Relationship
Direct relation (As Pressure increase temp increase vice versa)
Avogadro Relationship
Direct relation (As volume increase the particles increase vice versa)
states the relationship among pressure, temperature, and volume of a fixed amount of gas
Combined Gas Law
particles occupy a negligible volume and are far enough apart to exert minimal attractive or repulsive force on each other
Ideal Gas Law
Combined Gas Law equation
P1V1 / T1 = P2 V2 / T2
Ideal Gas Law Equation
Pv=nRT
In deal Gas law equation the constant R is what?
0.0821 L Atm / mol k
Molar Mass from Ideal Gas Equation
subsitute n= m/mm in Ideal and rearrange to MM = mRT/PV
Density from Derrived Ideal Gas
Subsitute M/V from M=mRT/PV —> D=PMM/RT
RMS Speed equation
Mrms = √3RT/MM
If given mass and they want molar mass what equation?
Molar Mass from Ideal Gas
If see density, pressure, temperature what equation?
Density derrived from Ideal
The constant R in Rms Speed equation is what?
8.314 J/Mol K
Rms Speed equation is what theory
Kinetic Molecular Theory
Diffusion and Effusion
Graham’s Law Rate1 / Rate2 = √MM2/MM1
Spreading through space
Diffusion
Effusion
Passing through tiny hole
Ideal Gases follow the assumption of….
Kinetic Molecular Theory
Characteristics of ideal gases
No intermolecular attractive or repulsive force between particles or with their containers
The particles are in constant random motion
Collisions are perfectly elastic (no energy transferred)
No gas is truly ideal, but most behave as ideal gases at a wide range of temperatures and pressure
Ideal assumption
Very weak IMFS (DON’T COUNT)
Small Particle (DON'T COUNT)
Ideal assumption do apply if…
High temp and Low Pressure (IMF AND PARTICLES COUNT)
Real vs ideal Gas
Real gases deviate most from ideal gases at high P and low T
Polar molecules have larger attrative forces between particles
Polar gases do not behave as ideal gases
Large nonpolar gas particles occupy more space and deviate more from ideal gases
Stoichiometry of Reactions involve…..
Gas (REVIEW SOME EQUATIONS)
Stoichiometry and Volume
Coefficients in a balanced equation represent the volume ratio for gases
A balance equation helps find ratios for moles and gases volume not masses
All masses must be converted to moles or volume before used in ratio
Nature of Gases
Easily compressable
Has mass and fill container completely
Can move through each other quite rapidly (diffusion)
Exert Pressure (P depends on its temp)
Measuring Gases (units)
Moles (n)
Volume (v) (L or mL)
Temperature (T) (kelvin)
Pressure (P) (Atm, 760mm Hg, 760 Torr)
Volume
Gas expands uniformly to fill any container in which it is placed
Pressure is….
Force per unit area
Pressure units
1 atm= 100KPa
1 atm= 760 mm Hg = 101.3 kPA
Kinetic Molecular Theory
Explains the Gas properties of Gases
STP
1 mole = 22.4L