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 - (-)]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1afd107f-8b1a-4a79-93a3-5e9f18f96b66%2F864dd221-de54-4127-98b3-8ffa4cf9790d%2F860xob_processed.jpeg&w=3840&q=75)
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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