As the temperature is raised from $20^{\circ} \mathrm{C}$ to $40^{\circ} \mathrm{C}$, the average kinetic energy of neon atoms changes by a factor of which of the following?

JEE Main · 2004 · 24 Apr 2004 · Offline · States of Matter

As the temperature is raised from

2 0^{\circ} C

4 0^{\circ} C

, the average kinetic energy of neon atoms changes by a factor of which of the following?

(A) $\frac{1}{2}$
(B)2
(C) $\frac{313}{293}$ ✓ Correct
(D) $\frac{313}{293}$

Answer: (C)

Solution

The average kinetic energy of a gas depends only on absolute temperature, through

E \propto T

, and not at all on the nature of the atoms. Convert both temperatures to kelvin:

2 0^{\circ} C

293 K

and

4 0^{\circ} C

313 K

. The energy therefore scales by the ratio

\frac{E _{2}}{E _{1}} = \frac{313}{293}

JEE Main · 2004 · 24 Apr 2004 · Offline · Single correct option

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