p0134

# p0134 - 1.34 CHAPTER 1 PROBLEM 34 35 1.34 Chapter 1 Problem...

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1.34. CHAPTER 1, PROBLEM 34 35 1.34 Chapter 1, Problem 34 Substituting p = p c , ρ = ρ c and T = T c into van der Waal’s formula yields p p c + a ρ 2 c Q (1 b ρ c ) = ρ c RT c Substituting for the coefficients a and b , ^ p c + 27 p c w RT c 8 W 2 ρ 2 c ^ 1 RT c 8 p c ρ c = ρ c RT c or, p c 1 + 27 X ρ c RT c 8 p c ~ 2 ^ 1 ρ c RT c 8 p c = ρ c RT c Now, let p c = N ρ c RT c . Then, N ^ 1 + 27 w 1 8 N W 2 } 1 1 8 N ] = 1 = N 1 } N 2 + 27 64 ] N 1 } N 1 8 ] = 1 Multiplying through by N 2 yields } N 2 + 27 64 ] } N 1 8 ] = N 2 N 3 1 8 N 2 + 27 64 N 27 512 = N 2 N 3 9 8 N 2 + 27 64 N 27 512
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