Question

When the temperature of an ideal gas is increased from $27{}^{\circ }\text{C}$ to $927{}^{\circ }\text{C}$, the kinetic energy will become:

• A. $\text{Same}$
• B. $8\text{times}$
• C. $4\text{times}$
• D. $2\text{times}$

Answer 1

The correct option is C $4\text{times}$

The average kinetic energy of gas particles = $\frac{3}{2}RT$, where $R$ is the gas constant and $T$ is the temperature of gas. Since $R$ and $\frac{3}{2}$ are constant, so kinetic energy is $\propto$ temperature
$\therefore$ Average kinetic energy will become four times as temperature is increased from $300\text{K}$ to $1200\text{K}$.