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4. From van der Waals equation, using = 0 = av a = ²RTcVmc Show that av 2 and Tc = b= 8a 27Rb' Vmc 3 5. Show that the Lennard-Jones energy --(i) Pc = a 27b²; --(ii) U₁j(r) = 4€ has a minimum value equal to - at r = 2¹/60. Vmc = 3b 12 [9¹-9]

4. From van der Waals equation, using = 0 = av a = ²RTcVmc Show that av 2 and Tc = b= 8a 27Rb' Vmc 3 5. Show that the Lennard-Jones energy --(i) Pc = a 27b²; --(ii) U₁j(r) = 4€ has a minimum value equal to - at r = 2¹/60. Vmc = 3b 12 [9¹-9]

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4. From van der Waals equation, using (3²0) T (2²) ₁ = 0 Ꭲ a = ²-RTcVmc 8 Show that = and Tc = b = 8a 27Rb ; Vmc 3 5. Show that the Lennard-Jones energy (i) Pc = a 276² ---(ii) has a minimum value equal to - at r = 2¹/66. Vmc = 3b 12 U₁₁ (r) = 4 € [¹ - (-)]
Transcribed Image Text:4. From van der Waals equation, using (3²0) T (2²) ₁ = 0 Ꭲ a = ²-RTcVmc 8 Show that = and Tc = b = 8a 27Rb ; Vmc 3 5. Show that the Lennard-Jones energy (i) Pc = a 276² ---(ii) has a minimum value equal to - at r = 2¹/66. Vmc = 3b 12 U₁₁ (r) = 4 € [¹ - (-)]
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