7. Acetylene, C₂H₂ has a critical temperature of 309.5 K and a critical pressure of 61.6 atm. (a) Calculate the van der Waals constants. (b) Use the van der Waals equation to calculate the vapor density of this gas at STP.

7. Acetylene, C₂H₂ has a critical temperature of 309.5 K and a critical pressure of 61.6 atm. (a) Calculate the van der Waals constants. (b) Use the van der Waals equation to calculate the vapor density of this gas at STP.

Chemistry & Chemical Reactivity

10th Edition

ISBN:9781337399074

Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel

Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel

Chapter13: Solutions And Their Behavior

Section13.5: Colloids

Problem 2.2ACP

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Kinetic-Theory of Gases

Kinetic theory of gases is the model or method which was developed in the 19th century by Maxwell and Boltzmann. This is possible as the interatomic force which is of short-range forces that are important for solids and liquids can be neglected for gases. This theory or gas law gives a molecular interpretation of the pressure and temperature of a gas and is consistent with gas laws and Avogadro’s hypothesis. This theory is very helpful to correctly explain the specific heat capacities of many gases, kinetic energy and it also explains the transport qualities such as viscosity, thermal conductivity, and diffusion with molecular parameters. As stated in the kinetic-molecular theory, the temperature of a substance or gas particle is related to the average kinetic energy of the particles of that substance. When a substance is heated, some of the absorbed energy is stored within the particles, while some of the energy increases the motion of the particles, called average kinetic energy.

Question

7. Acetylene, C₂H₂ has a critical temperature of 309.5 K
and a critical pressure of 61.6 atm.
(a) Calculate the van der Waals constants.
(b) Use the van der Waals equation to calculate the
vapor density of this gas at STP.

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Step 1: Derivation of critical constants of van der waals gas

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Step 2: Calculate the constant a and b values

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Step 3: Calculate the value of vapour density

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