Question

When the temperature of an ideal gas is increased from ${27}^{\circ }\text{C}$ to ${627}^{\circ }\text{C}$, the kinetic energy will be:

• A. Same
• B. Increased by $2$ times
• C. Increased by $3$ times
• D. Increases by $\frac{1}{2}$ times

Answer 1

The correct option is C Increased by $3$ 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 three times as temperature is increased from $300\text{K}$ to $900\text{K}$.