The given graph represents the variation of Z (compressibility factor) $v s$ . P for three real gases $A, B$ and C . Identify the correct statement.

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

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

For the gas C, which is typical real gas for which $a \neq 0, b \neq 0$ . By knowing the minima and the point of intersection with $Z = 1, a$ and $b$ can be calculated

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

answer is A, C, D.

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Detailed Solution

For the gas $A, a = 0$ and its dependence on P is linear at all pressure, for the gas C, which is typical real gas for which $a \neq 0, b \neq 0$ . By knowing the minima and the point of intersection with $Z = 1, a$ and b can be calculated, at high pressure, the slope is positive for all real gases.