Solve for T n2 BT3eEkT Solve for T n2 BT3eEkTSolutionapply

Solve for T: (n^2) = BT^3e^(-E/kT)
Solve for T: (n^2) = BT^3e^(-E/kT)

Solution

apply ln on both sides=> ln n^2= ln B +ln T^3 + ln*e^(-E/KT)

                                     ln(n^2/B)= 3lnT- E/KT

now apply derivative wrt T on both sides => since n and B are constants LHS=0

                                 0= 1/T + E/kT^2

                                E= -kT=> T=-E/k

 Solve for T: (n^2) = BT^3e^(-E/kT) Solve for T: (n^2) = BT^3e^(-E/kT)Solutionapply ln on both sides=> ln n^2= ln B +ln T^3 + ln*e^(-E/KT) ln(n^2/B)= 3lnT- E

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