Average Kinetic Energy Calculator

Formula

The formula to calculate the Average Kinetic Energy (K) is:

\[ K = \frac{3}{2} \left( \frac{R}{N} \right) T \]

Where:

\( R \) is the gas constant (8.314 J/mol K).
\( N \) is Avogadro's number (6.022 \times 10^{23} \text{ atoms/mol}).
\( T \) is the temperature in Kelvin.

Example

Let's say the temperature (\( T \)) is 300 K. Using the formula:

\[ K = \frac{3}{2} \left( \frac{8.314}{6.022 \times 10^{23}} \right) \times 300 \]

We get:

\[ K \approx 6.21 \times 10^{-21} \text{ J} \]

So, the Average Kinetic Energy (\( K \)) is approximately \( 6.21 \times 10^{-21} \) Joules.

What is Average Kinetic Energy?

Average kinetic energy is defined as the average energy contained within the movement of particles of a gas. It is a measure of the energy due to the random motion of the gas particles and is directly proportional to the temperature of the gas.