Physical chemistry

Relationship Between Critical Constants And Vander Waal’s Constants

by

Relationship Between Critical Constants And Vander Waal’s Constants Vanderwaals equation for one mole of gas is, \( \left( {P + \frac{{a}}{{V^2 }}} \right)\left( {V – n} \right) = RT \) \(PV+\frac{a}{V}-Pb-\frac{ab}{V^2}=RT\) Multiplying both sides by \(\frac{V^2}{P}\) and arranging the obtained equation in decreasing powers of V, we get \(V^3-(b+\frac{RT}{P})V^2 +\frac{aV}{P} -\frac{ab}{P}=0\tag1\\\) viz., a cubic equation … Read more

The Isotherms of van der Wall’s Equation

by

The Isotherms of van der Wall’s Equation As we know, the Vanderwaals equation for one mole of gas is, \( \left( {P + \frac{{a}}{{V^2 }}} \right)\left( {V – b} \right) = RT \) ⇒\(PV+\frac{a}{V}-Pb-\frac{ab}{V^2}=RT\) Multiplying both sides by \(\frac{V^2}{P}\) and arranging the obtained equation in decreasing powers of V, we get \(\fbox{\(V^3-(b+\frac{RT}{P})V^2 +\frac{aV}{P} -\frac{ab}{P}=0\)}\) viz., … Read more

Continuity of State

by

 CONTINUITY OF STATE At the critical temperature, the gaseous \(C{O}_2\) cannot be distinguished from liquid carbon dioxide which indicates that the conversion of \(C{O}_2\) gas into liquid \(C{O}_2\) or vice versa is not a sharp or discontinuous process but is a continuous process. As shown in the figure, if the ends of the horizontal portions … Read more

PV ISOTHERM OF REAL GASES

by

 PV ISOTHERM OF REAL GASES The plots of pressure vs volume at a given temperature of real gases are called P-V isotherms In 1869, Thomas Andrews studied the critical phenomenon in detail. He measured the variation of volume of \(C{O}_2\) with pressure at different temperatures. The first complete data on P-V isotherms of \(C{O}_2\) was … Read more

Critical Temperature Critical Pressure Critical Volume and their Determination

by

Critical Temperature Critical Pressure Critical Volume and their Determination THE CRITICAL PHENOMENON • According to kinetic theory of gases, the gas molecules are constantly moving. ∴ the gas molecules possess kinetic energy. • average kinetic energy of the molecules is directly proportional to the absolute temperature. • Average K.E \(\propto\) absolute temperature. i.e., As the temperature decreases, the kinetic … Read more

Explanation of Behaviour of Real Gases Using Vander Waal’s Equation

by

Explanation of Behaviour of Real Gases Using Vander Waal’s Equation As we know the Van der Walls equation for n moles of a real gas is, \( \left( {P + \frac{{an^2 }}{{V^2 }}} \right)\left( {V – bn} \right) = nRT \) For one mole of gas, put n=1, \( \left( {P + \frac{{a}}{{V^2 }}} \right)\left( … Read more

Application of Vanderwaals Equation in Calculation of Boyle’s temperature

by

Application of Vanderwaals Equation in Calculation of Boyle’s temperature Consider the Z vs P plots of nitrogen at different temperatures varying between – 70°C and 50 °C • The graph shows that as the temperature is raised, the dip in the curve becomes smaller and smaller. At 50°C the curve is almost horizontal for an … Read more

Derivation of Vander Waals  equation of State

by

Derivation of Vander Waals  equation of State or Equation of State for Real (Imperfect) Gases Many attempts have been made in order to get an equation of state viz. applicable to real gases. A number of equations of state have been suggested to describe the P-V-T relationship in case of real gases. The Van-der-Waals equation … Read more

WhatsApp
error: Content is protected !!