Gaseous state Flashcards
Vapor Density =
Molar Mass / 2
Boyles Law ?
P₁V₁= P₂V₂
Charles Law ?
V1/T1 = V2/T2
Gay Lussac’s Law
P1/T1 =P2/T2
Equation Of the State
P1 V1/T1 = P2 V2/T2
Ideal Gas Eqn
PV=NRT
Avagadro’s Hypotheses
V1/N1 = V2/N2
Ideal gas Eqn in terms of density
( for single Gas )
d = PM/RT
Ideal gas Eqn in terms of density
( for mixture of gases )
Dₐᵥ𝓰 = PMₐᵥ𝓰 / RT
Pressure of liquid due to height
P= hdg ( d-density of liquid
h-height of the liquid
g=9.8 )
What is barometer used for
to measure atmospheric preasure
conversion of height of any liquid into height of (HG liquid ) for same preasure
Hₕ𝓰 = Hₗ * dₗ / 13.6
determination of length if trapped air or gas in a liquid in a tube placed horizontally
application of boyles law
P₁V₁= P₂V₂
determination of length if trapped air or gas in a liquid in a tube placed vertically open end
P₁L₁= P₂L₂
What is manometer used for ?
used to measure preasure of a gas system
Dalton’s law of partial pressures
Pₜ = ( Pa + Pb + Pc………)
pa- partial pressure of gas[a]
Partial Preasure[a] =
( gaseous state)
Mole fraction[x] * pressure[total]
partial pressure gas[a]
__________________________
partial pressure gas [ b]
= Mole Fr. [a] = Wt. [a] /M.mass
_____________ _______________
Mole Fr. [ b ] wt. [b]/ M.Mass
mole% of any gas in mixture = ?
N[a] 100 = P.Preasure[a]100
____________ __________________
N[a] + N[b] total pressure
what is vapor pressure
pressure exerted by vapor above the liquid surface when rate of evaporation is exactly equal to the rate of condensation ( or at eqm)
% relative humidity =
P.Pressur of water
__________________________ *100
Vapour pressure of water
graham law of diffusion
rate of diffusion ∝ P.par.
____________
√ temp.M.Mass
R[1]
_____ R=rates of diffusion
R[2]
at constant temperature and Pressure
√ M.mass[2] Density[1]
_____________ = √ _______________
M.mass[1] Density[2]
Determine rate of diffusion
R= Vol. diffused / time taken
R= distance / time taken
R= Mole of gas diffused/time taken
R[1]
_____ R=rates pf diffusion
R[2]
at constant volume and temperature
R= K*P
____
√(M.Mass)
Instantaneous rate of diffusion
P[2] / P [1] = e^( -kt /√ M.mass )
N[1]^x
______ =
N[2]^x
ratio of moles of gas a and b after xth stage diffusion
N[1] M[2] ^ x/2
_____ _____
N[2] M[1] ^ x/2
payload capacity of balloon
Wt.[payload] + wt.[gas] + Wt.[balloon material]
≤ Density{air] * Vol[Balloon}
Variation of pressure with altitude = ?
p/ pₒ = e^ ( -mgh /RT )
Kinetic gas equation
PV= 1/3 M[one molecule] *V²ᵣₘₛ
Vᵣₘₛ= ?
( root mean square velocity )
( V₁ + V₂ + V₃ …….Vₙ / n ) ^ 1/2
K.E/mole of a gas Sample=
3/2 *RT=1/2 m Nₐ V²ᵣₘₛ
mass of gas in KG/mol
K.E/molecule =
3/2 R/Nₐ *T = 3/2 KT
Vᵣₘₛ =
in terms of R,M&T
√ (3RT / M)
Maxwell distribution of molecular speed
d Nu =4πv² (n/2πRT)³/² exp[−mu²/2RT]*u² du
Uₘₚ
√ ( 2RT/M )
Uₘₚ : Uₐᵥ𝓰 : Uᵣₘₛ
1: √ ( 4/π) : √(3)
collision frequency ( z₁₁ ) =
πσ² vₐᵥ𝓰 ( N* )²
______________
√(2)
N*= total no. of molecules per unit volume
σ = colision diameter