Consider the following graph of Z v s V m 1 drawn at low pressure and inversion temperature ( T = R b 2 a ) , using the virial form of van der Waals' equation: Z = 1 + ( b − RT a ) V m

Question

Consider the following graph of Z v s V m ​ 1 ​ drawn at low pressure and inversion temperature ( T = R b 2 a ​ ) , using the virial form of van der Waals' equation: Z = 1 + ( b − RT a ​ ) V m ​ 1 ​ + V m 2 ​ b 2 ​ + V m 3 ​ b 3 ​ + .. … Find the critical molar volume ( V c ​ ) in cm³.

TestHub · Accepted Answer

Z = 1 + ( b − RT a ​ ) V m ​ 1 ​ . At inversion temperature T = R b 2 a ​ ⋅ Z = 1 + ( b − R b R × 2 a ​ a ​ ) V m ​ 1 ​ \displaylines = 1 + ( b − 2 b ​ ) V m ​ 1 ​ = 1 + 2 b ​ × V m ​ 1 ​ , slope = 2 b ​ = 0.011 − 0.001 1.02 − 1.01 ​ = 0.01 0.01 ​ = 1 b = 2 cm 3 V c ​ = 3 b = 6 cm 3 V C ​ = 3 b = 6 cm 3

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