Temperature Effect on Boltzmann Distribution Peak

Steps:

• Boltzmann distribution shows fraction of molecules with kinetic energies from 0 upward.
• Peak position is most probable energy, E_mp = (1/2) kT.
• Raising T raises kT term, shifting E_mp to higher value.
• On energy axis (increasing right), maximum moves right.

Why D is correct:

• Most probable energy formula E_mp = (1/2) kT directly ties peak position to T; higher T shifts it rightward.

Why the others are wrong:

• A: Peak moves right, not left, with higher T.
• B: Without diagram, [] representation ambiguous; not enough information.
• C: Without diagram, [] representation ambiguous; not enough information.

Final answer: D