Given below are four proposed modifications of the van der Waals equation of state. Are any of these modifications reasonable? Explain carefully; statements such as, “It isn’t cubic in volume” do not qualify.
First, let’s put a and b equal to zero and check if it reduces to the ideal gas equation or not. If equation reduces to the ideal gas equation, then the modification is reasonable.
when a = 0 and b = 0, then
The equation reduces to the ideal gas equation. Therefore, the modification is reasonable.
when a = 0 and b = 0, then
The equation does not reduce to the ideal gas equation. Therefore, the modification is not reasonable.
when a = 0 and b = 0, then
The equation does not reduce to the ideal gas equation. Therefore, the modification is not reasonable.
when a = 0 and b = 0, then
The equation reduces to the ideal gas equation. Therefore, the modification is reasonable.
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