HC Verma Chapter 23 Problem 47

Problem

Temperature at which average KE per molecule = 1 eV.

Key Concepts

T=2E/(3k_B)

Solution

E=1.6e-19 J. T=2×1.6e-19/(3×1.38e-23)=7730 K

Answer

7730 K

Concept Check

1 eV/k_B=11600 K; 1 eV needs ~38x room T.

Common Mistakes

Forgetting 3/2 factor.

Practice Tip

1 eV/k_B=11600 K benchmark.