What is the role of the constants a and b in the van der waals equation...

What is the role of the constants a and b in the van der waals equation in terms of the kinetic molecular theory?

Expert Solution

Ideal gas equation is written as PV= nRT and this derviation is based on the assumption that

1)The actual volume of the gas molecules is negligible as compared with the total volume of the gas.

2) The gas molecules do not exert any appreciable attraction on each other.

The ideal gas law is obeyed only at high temperature and low pressure where the volume of gas molecules can be neglected compared to the volume of gas and at low pressure where the gas molecules are far apart to have any force of atrtraction.

Vanderwaal equation is written as (P+an²/V²)*(V-nb) =nRT

Ideal gas is one where there is no interaction between molecules of gas. The molecules in an ideal gas travel in straight line till they collide with the container or other molecules. In non-ideal gas, there is force of attraction between molecules.The term a in Vanderwaal equation takes care of this.

When the pressure is very high, the volume of gas is so small, one has to consider the volume of molecules of gas as well. This reduces the free space available for molecules to move. This is taken care of by the term b in Vanderwaal equation.

queen_honey_blossom answered 2 years ago

Derive constants for Van der Waals equation of state. Why is this equation used for? (Detailed...

Derive constants for Van der Waals equation of state. Why is this equation used for? (Detailed explanation and derivation)

Van der Waals Gases Under what conditions of volume does a van der Waals gas behave...

Van der Waals Gases Under what conditions of volume does a van der Waals gas behave like an ideal gas? Use the van der Waals equation of state to justify your answer.

Use the van der Waals equation and the ideal gas equation to calculate the volume of...

Use the van der Waals equation and the ideal gas equation to calculate the volume of 1.000 mol of neon at a pressure of 500.0 bar and a temperature of 355.0 K. (Hint: One way to solve the van der Waals equation for V is to use successive approximations. Use the ideal gas law to get a preliminary estimate for V V in ideal gas V in van der waal gas

For Van Der Waals equation (P + a/V2)(V - b) = nRT How can you find...

For Van Der Waals equation (P + a/V2)(V - b) = nRT How can you find the values of "a" and "b" using an experiment? Please explain the method of the experiment too

a. Write out in your own words what the van der Waals a and b parameters...

a. Write out in your own words what the van der Waals a and b parameters represent. b. Rank in increasing order the van der Waals a and b parameters for the following four gases: Hydrogen, Benzene, Ethanol, and Ethane. Check your intuition by looking up these values and explaining the observed trends in a and b.

How can the Van Der Waals equation of state be used to determine whether a substance...

How can the Van Der Waals equation of state be used to determine whether a substance will be a solid, liquid or gas at a certain temperature and pressure?

At high pressures, real gases do not behave ideally. (a) Use the van der Waals equation...

At high pressures, real gases do not behave ideally. (a) Use the van der Waals equation and data in the text to calculate the pressure exerted by 29.0 g H2 at 20 degree C in a 1.00 L container. (b) Repeat the calculation assuming that the gas behaves like an Ideal gas.

H2O 5.537 5.465 0.0305 Use the van der Waals equation of state to calculate the pressure...

H2O 5.537 5.465 0.0305 Use the van der Waals equation of state to calculate the pressure of 3.00 mol of H2O at 463 K in a 3.60 L vessel. Van der Waals constants can be found here.Use the ideal gas equation to calculate the pressure under the same conditions. Use Atm

The van der Waals equation for 1 mole of gas is given by (p +av-2)(v -...

The van der Waals equation for 1 mole of gas is given by (p +av-2)(v - b) = RT. In general, curves of p versus v forvarious values of T exhibit a maximum and a minimum at the twopoints where (δp/δv)T = 0. The maximum and minumum coalesceinto a single point on that curve where(δ2p/δv2)T = 0 inaddition to (δp/δv)T = 0. This point is calledthe "critical point" of the substance and its temperature,pressure, and molar volume are denoted by...

Describe how you would determine, using the van der Waals equation of state, the temperature of...

Describe how you would determine, using the van der Waals equation of state, the temperature of a real gas mixture of 3 gasses (A,B and C) given the pressure P in the container, the mass of each gas mA, mB, mC, and the volume v of the container. You also have access to the critical properties (TCA, TCB, TCC, PCA, PCB, PCC) and molar masses (MA, MB, MC,) of each gas. Use these variables and list all equations and steps...

Question