(Solution) - Show that if B T is the second virial coefficient of a gas -(2025 Original AI-Free Solution)

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Show that if B (T) is the second virial coefficient of a gas, and ?B = B (T") ? B (T), /)'T= T' - T, and T is the mean of T' and T, then ?T= RT2t
?BIV~,/)'T. Estimate IT]' for argon given that B(250 K) = -28.0 cm3 mol-1 and B(300 K) = -15.6 cm3 mol-1 at 275 K at
(a) 1.0 atm,
(b) 10.0 atm.