What are the \"correction terms\" in the van der Waals\' equation that account f

Question

What are the "correction terms" in the van der Waals' equation that account for the non-ideal behavior of real gases? 6. For the van der Waals' equation, why has the volume been modified from that of an ideal gas? 7. For the van der Waals' equation, why has the pressure been modified from that of an ideal gas? 8. The volume of a sample of ideal gas at 25degreeC is 372 mL. What will be the volume of the gas if it is heated at constant pressure to 50degreeC? What will be the volume of the gas if it is cooled to -272degreeC?

Explanation / Answer

5) Pressure correction term and it is represented as P = (P+a (n^2 / V^2)) and Volume correction term V = (V - bc)

6) For changing of volume term, one of kinetic theory assumption is wrong i.e., the volume gas particle is negligible compare to the container volume.Because each gas particle occupies perticular volume if we reduce the empty space around a gas particle. Hence volume is corrected as V = ( V - bc) where C is co volume occupied by the gas and " b" is vanderwaals gas constant and its value depends upon the nature of gas.

7) For changing of Pressure term, one of the kinetic theory assuption is wrongi.e., the pressure of the gas is pressure exerted by gas on the walls of the container. but due to inter molecular force of attraction that pressure is decreased by the gas paticles on the wall of the container. hence pressure term is changed to   P= ( P + an^2 / V^2 )

8) at constant pressure V1 / T1 = V2 / T2

( 375 / 298 ) = ( V2 / 323)

V2 = 406.46 mL

V1 / T1 = V2 / T2

( 375 / 298 ) = V2 / 1

V2 = 1.2584 mL

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