Question

At which of the following temperature was the molecules of a gas have twice the average kinetic energy they have at ${20}^{o}C$:

• A. ${40}^{o}C$
• B. ${80}^{o}C$
• C. ${313}^{o}C$
• D. ${586}^{o}C$

Answer 1

The correct option is C ${313}^{o}C$

Kinetic Energy at ${20}^{o}C=293K$

$=3/2K_{B}T=3/2K_B\left(293\right)J$$=K.E_1$

$k{E}_2=2K.E_1$

$2\frac{3}{2}{\hat{K}}_B\left(293\right)=\frac{3}{2}{\hat{K}}_{B}T$

$T=586K$

$={313}^{o}C$