The given graph represent the variations of compressibility factor (Z)=pVnRT versus p, for three real gases A, Band C. Identify the only incorrect statement.

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For the gas A, a = 0 and its dependence on p is linear at all pressure

For the gas B, b = 0 and its dependence on p is linear at all pressure

For the gas C, which is typical real gas for which neither a nor b = 0. By knowing the minima and point of the intersection, with Z = 1, a and b can be calcuiated

At high pressure, the slope is positive for all real gases

answer is B.

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Detailed Solution

From the graph, it is clear that the value of Z decreases with increase of pressure. At high pressure, when 'p' is large, V will be small and one cannot ignore ' b' in comparison to V.

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