A non-ideal gas obeys ( P + a / V m ) ( V m − b ) = RT in all conditions of pressure and temperature, where V m is the molar volume and a , b are nonzero positive constants. The correct informat

Question

A non-ideal gas obeys ( P + a / V m ​ ) ( V m ​ − b ) = RT in all conditions of pressure and temperature, where V m ​ is the molar volume and a , b are nonzero positive constants. The correct information(s) about this gas is/are:

TestHub · Accepted Answer

From (P+a/V_m)(V_m-b)=RT, P=RT/(V_m-b)-a/V_m. Hence Z=V_m/(V_m-b)-a/(RT), whose large-volume limit is 1-a/(RT). C follows but A does not: for a>0 this is not the ideal-gas limit Z=1. For a critical point, dP/dV_m=0 requires a/V_m²=RT/(V_m-b)². Combining this with d²P/dV_m²=0 would require V_m=V_m-b, impossible for b>0. Thus the equation has no ordinary van der Waals critical-point inflection, giving the intended D rather than B. Printed-key conflict: A,C,D includes A despite the stated equation. The printed key is preserved, not silently corrected.

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