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OF GASES AND GAS MIXTURE
A PRESENTATION ON PROPERTIES OF GASES AND GAS MIXTURE SOLANKI MIHIR MISTRY DHRUV MISTRY KUNAL MODI SHUBHAM PATEL MUAIJ GUIDED BY ASST. PROFF. (AMIT SHAH) DEPARTMENT OF MECHANICAL ENGINEERING SHREE S’AD VIDHYA MANDAL INSTITUTE OF TECHNOLOGY(045)
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Contents: Avogadro’s law Equation of state Ideal gas equation
Van der waal’s equation Reduced properties Law of corresponding states Compressibility chart Gibbs-Dalton law Apparent molecular weight and gas constant. Adiabatic mixing of perfect gases Gas and vapour mixtures
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AVOGADRO’S LAW Avogadro’s law states that,
1kg mole of gas occupies volume of 2.24 m3 at normal temperature and pressure ( N.T.P )
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According to Avogadro’s law, Let their molecular masses be denoted by M1 and M2 and n be the molecular mass of gases, we get m1 α nM1 or m1 = M1 m1 α nM2 m2 M2 where, volume V is same for both gases and ρ is density ρ1 = v1 = M1 since ρ = 1, and v is specific volume ρ2 v2 M2 since, ρ = 1 and v is specific volume v M1 v1 = M 2 v2 = vmol = constant m = ρV
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EQUATION OF STATE “ A equation of state is an equation relating the pressure, temperature, and specific volume of a substance.” The equation of state may be expressed by means of graph, tables of properties or a equation of the form, f ( p ,v ,t ) = 0 The thermodynamics is two dimensional state, hence two independent properties are sufficient to describe the state of system. Thus the equation of state for these type of systems may be written as , p = f(v, T) v = (p, T) T = (p, v)
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For perfect gas, equation of state relating pressure, temperature, and specific volume is expressed by the relation, pv = RT
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1) The Virial equation of state may be expressed as follows : pv = A0 + A1p + A2p2 + A3p3 + …… RT OR pv = B0 + B1 + B2 + B3 + ………… RT v v v where A0 , A1 ,… and B0 , B1 ,… are called the virtual co-efficient which are function of temperature only.
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2) Beattie–Bridgeman equation is expressed as : p = R0T(1-e) (v+B) _ A (v)2 (v)2 Where, p=pressure A = A0 1 – a , B = B0 1 – b and e = C v v vT3 The factors A0,a,B0,b are constant whose values are different for different gases.
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