Write vanderwaals equation

1.	Write vanderwaals equation
Answer» Thanks<br>Van der Waals equation is an equation relating the relationship between the pressure, volume, temperature, and amount of real gases. For a real gas containing ‘n’ moles, the equation is written as;{tex}\\left( P+\\frac{a{{n}^{2}}}{{{V}^{2}}} \\right)\\left( V-nb \\right)=n\\,R\\,T\\,(P+V2an2\u200b)(V−nb)=nRT{/tex}Where, P, V, T, n are the pressure, volume, temperature and moles of the gas. ‘a’ and ‘b’ constants specific to each gas.The equation can further be written as;\t\xa0Cube power of volume:\xa0{tex}{{V}^{3}}-\\left( b+\\frac{RT}{P} \\right){{V}^{2}}+\\frac{a}{P}V-\\frac{ab}{P}=0V3−(b+PRT\u200b)V2+Pa\u200bV−Pab\u200b=0{/tex}\tReduced equation (Law of corresponding states) in terms of critical constants:{tex}\\left( \\pi +\\frac{3}{{{\\varphi }^{2}}} \\right)\\left( 3\\varphi -1 \\right)=8\\tau :\\,\\,where\\,\\,\\pi =\\frac{P}{Pc},\\varphi =\\frac{V}{Vc}\\,\\,\\,and\\,\\,\\tau =\\frac{T}{Tc}(π+φ23\u200b)(3φ−1)=8τ:whereπ=PcP\u200b,φ=VcV\u200bandτ=TcT\u200b{/tex}

Discussion