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Important Gaseous State Formulas For JEE Main and Advanced

Here is the list of all Gaseous State formulas. The list is very helpful in helping students revise all the important points quickly before the JEE Main or Advanced Exam.

Gaseous State Formulas

  1. Temperature Scale :

C01000=K273373273=F3221232=RR(0)R(100)R(0)

Here, R = Temp. on an unknown scale.

  1. Boyle’s law and measurement of pressure:

At constant temperature,

Vα1P

P1V1=P2V2

  1. Charles law:

At constant pressure,

VT

OR

V1T1=V2T2

  1. Gay-lussac’s law:

At constant volume,

PαT

P1T1=P2T2temponabsolutescale

  1. Ideal gas Equation:

PV = nRT

PV=wmRTOrP=dmRTOrPm=dRT

  1. Dalton’s law of partial pressure:

P1=n1RTv,P2=n2RTv,P3=n3RTv
and so on.

Total pressure = P1 + P2 + P3 +……

Partial pressure = mole fraction X Total pressure.

  1. Amagat’s law of partial volume:

V=V1+V2+V3+
.

  1. Average molecular mass of gaseous mixture:

Mmx=Total mass of mixture  Total no. of moles in mixture =n1M1+n2M2+n3M3n1+n2+n3

  1. Graham’s Law:

Rate of diffusion r1d;d=density of gas

r1r2=d2d1=M2M1=VD2VD1

  1. Kinetic Theory of Gases:
  • PV=13mNU2
    Kinetic equation of gases
  • Average K.E. for one mole
    =NA(12mU¯2)=32KNAT=32RT
  • Root mean square speed
    Urms=3RTM

    molar mass must be in kg/mole.
  • Average speed
    Uav=U1+U2+U3+UN

    Uavg. =8RTπM=8KTπm

K is Boltzmman constant

  • Most probable speed
    UMPS=2RTM=2KTm
  1. Van Der wall’s equation:

(P+an2v2)(vnb)=nRT

  1. Critical constants:

Vc=3b
,

Pc=a27b2
,

Tc=8a27Rb

  1. Van Der Waal equation in virial form :

z=(1+bVm+b2Vm2+b3Vm3+)aVmRT=1+1Vm(baRT)+b2Vm2+b3Vm3+

  1. Reduced Equation of state:

(Pr+3Vr2)(3Vr1)=8Tr

Up Next: Important Atomic Structure Formulas For JEE

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