For Tλ ‒ 10−2 K<T<Tλ − 10−9 K, measured Cp values of liquid He obey the relation [J....

For Tλ ‒ 10−2 K<T<Tλ − 10−9 K, measured Cp values of liquid He obey the relation [J. A. Lipa et al., Phys. Rev. Lett.,76, 944 (1996)]

where A′ = 5.7015, α = −0.01285, D = −0.0228, E = 0.323, B = 456.28, and t = 1 - T/Tλ. For Tλ + 10−6 K >T> Tλ + 10−8 K, the same equation holds except that A′ is replaced by A = 6.094 and t is replaced by s = T/Tλ − 1. (a) Assume that these expressions hold up to Tλ and find Cp at Tλ. (b) Find ∂CP/∂T at Tλ. (c) Use a spreadsheet or other program to graph Cp versus (T− Tλ)/Tλ in the region close to Tλ. (α is called a critical exponent. There is a substantial theory devoted to prediction of α and other critical exponents for continuous phase transitions. See J. J. Binney et al., The Theory of Critical Phenomena, Oxford, 1992.)