The Boyle temperature (TB) of a fluid is defined as the temperature at which it obeys the ideal gas EOS at large volumes. (Visualize this with isotherms on a PV diagram.) Formally,

lim[V(RTV/P)-1]for V->∞ =0

at T = TB. Show that for a fluid that follows the vdW EOS, TB = 3.375 Tc, where Tc is the critical temperature of the fluid. (Use the relationships between critical constants and vdW parameters a and b that were derived in class.)

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