1.

Consider the following graph of Z vs 1/V_m drawn at low pressure and inversion temperature, using the virial form of vanderwaal's equation : Z=1+(b+1/(RT))1/V_m+b^2/V_(m^2)+b^2/V_(m^3)+.... Find crictical molar volume (V_c) in cm^3 ?

Answer»


Solution :`Z=1+(b-a/(RT))1/V_m` (at low P)
At inversion TEMPERATURE
`T=(2a)/(RB)`
`Z=1+(b-(a/(Rxx2a))/(Rb))1/V_m=1+(b-b/2)1/V_m=1+b/2xx1/V_m`
SLOPE`=b/2 " " =(1.02-1.01)/(0.011-0.001)=0.01/0.01=1`
`b=2 cm^3`
`V_c=3b=6 cm^3`


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