Question

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

• A. $1/2$
• B. $2$
• C. $313/293$
• D. $\sqrt{313/293}$

Answer 1

The correct option is C $313/293$

$T_1=20+273=293\text{K}$
$T_2=40+273=313\text{K}$
$\overline{K.E}=\frac{3}{2}kT$
At $293\text{K}$
${\overline{K.E}}_1=\frac{3}{2}k\times 293$
At $313\text{K}$
${\overline{K.E}}_2=\frac{3}{2}k\times 313$
$\frac{{\overline{K.E}}_2}{{\overline{K.E}}_1}=\frac{313}{273}$