A gas described by van der Waals’ equation:a)Behaves similar to ...
For a real gas
(P + an2/V2)(V – nb) = nRT
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Volume large => a=0 and V-nb = V. Hence it reduces to PV = nRT
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P large but V can’t be neglected. So, P(V-nb) = nRT
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a and b are temperature independent.
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For real gas a is not 0 but ideal gas has a = 0. Hence ideal gas exerts more pressure on the container walls.
From the above discussion, A, B and D are correct.
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A gas described by van der Waals’ equation:a)Behaves similar to ...
For a real gas
(P + an2/V2)(V – nb) = nRT
-
Volume large => a=0 and V-nb = V. Hence it reduces to PV = nRT
-
P large but V can’t be neglected. So, P(V-nb) = nRT
-
a and b are temperature independent.
-
For real gas a is not 0 but ideal gas has a = 0. Hence ideal gas exerts more pressure on the container walls.
From the above discussion, A, B and D are correct.
A gas described by van der Waals’ equation:a)Behaves similar to ...
The van der Waals equation of state describes the behavior of real gases, taking into account the intermolecular forces between gas molecules. It is an improvement over the ideal gas law, which assumes that gas molecules have no volume and do not interact with each other.
The van der Waals equation is given by:
(P + a(n/V)^2)(V - nb) = nRT
Where:
P is the pressure of the gas,
V is the volume of the gas,
n is the number of moles of gas,
T is the temperature,
R is the ideal gas constant,
a is a parameter related to the attractive forces between gas molecules,
b is a parameter related to the volume occupied by gas molecules.
The term a(n/V)^2 takes into account the attractive forces between gas molecules, which reduces the pressure. The term nb takes into account the volume occupied by gas molecules, which reduces the volume available for the gas.
The van der Waals equation can accurately predict the behavior of real gases at high pressures and low temperatures, where intermolecular forces become significant. However, it still has limitations and does not fully capture all the complexities of real gas behavior.