begin mathsize 48px style P V equals n R T end style

P = Pressure , V = Volume , n= number of Moles, T= Temperature, R=Universal Gas Constant

begin mathsize 48px style P subscript 1 space end subscript V subscript 1 space equals space P subscript 2 space end subscript V subscript 2 end style  

P1 = Initial Pressure , V1 = Initial Volume ,   P= Initial Pressure , V2 = Initial Volume at Constant Temperature

begin mathsize 36px style V subscript 1 over T subscript 1 equals V subscript 2 over T subscript 2 end style

V= Initial Volume , T= Initial Temperature , V= Final Volume , T= Final Temperature at Constant Volume

begin mathsize 36px style P subscript 1 over P subscript 2 equals T subscript 1 over T subscript 2 end style

P1 P2= Initial and Final Pressure ; T1 , TInitial and Final Temperature ;

begin mathsize 36px style open parentheses P plus fraction numerator n squared. a over denominator V squared end fraction close parentheses left parenthesis V minus n. b right parenthesis space equals space n. R. T end style

P = Pressure ; V = Volume ;  a , b = Vander waal's Constants ; n= Number of Moles ; R= Universal Gas Constant ; T= Temperature

begin mathsize 36px style fraction numerator P subscript 1 V subscript 1 over denominator T subscript 1 end fraction equals fraction numerator P subscript 2 V subscript 2 over denominator T subscript 2 end fraction end style

P1= Initial Pressure ; V1 = Initial Volume ; T1 = Initial Temperature ; P2 = Final Pressure ; V2= Final Volume ; T2 = Final Temperature

begin mathsize 36px style fraction numerator P. V over denominator n. R. T end fraction equals Z end style

P=Pressure, V=Volume, n=number of Moles, R=Universal Gas Constant, T=Temperature, Z=Compressibility factor

begin mathsize 48px style V subscript c equals 3. n. b end style

Vc= Critical Volume, n= Number of Moles, b= Van Der Waal's Constant b

begin mathsize 36px style T subscript c equals fraction numerator 8 a over denominator 27 R b end fraction end style

Tc= Critical Temperature,  a,b = Van Der Waals constant , R= Universal Gas Constant

begin mathsize 28px style c subscript r m s end subscript equals square root of fraction numerator 3. R. T over denominator M end fraction end root space space space comma space c subscript a v e end subscript equals square root of fraction numerator 8. R. T over denominator pi. M end fraction end root space comma space c subscript m equals space square root of fraction numerator 2. R. T over denominator M end fraction end root end style

crms ,cave , cm  = Root Mean Square  , Average Velocity ,& Most Probable Velocity of gas molecules ;

M= Molecular Weight ; T =Temperature ; R= Universal Gas Constant ; 

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