Question

If the temperature is raised from ${20}^{o}C$ to ${40}^{o}C$ ,the average kinetic energy of neon atom changes by a factor of which of the following:

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

Answer 1

Answer: (B)

$\frac{313}{293}$

Kinetic Energy $=\frac{3}{2}RT$

$E_1=\frac{3}{2}\times R\times 293$

$E_2=\frac{3}{2}\times R\times 313$

$E_2=\frac{313}{293}\times E_1$

Hence, the correct option is $\text{B}$