Question

Joshua is preparing a report to show the relationship between average kinetic energy and temperature. Is his graph accurate? Explain your answer.

Answer 1

Answer:

Yes his graph is accurate!

Explanation:

The average kinetic energy of gas particles is proportional to the absolute temperature of the gas, and all gases at the same temperature have the same average kinetic energy.

Answer 2

Yes, his graph is accurate.

• Average kinetic energy for an ideal gas is given by the formula 3 PV /2. Here, P and V are the pressure and the volume of the ideal gas respectively.
• From the ideal gas equation, we know that PV = nRT where n gives the number of moles of the gas, T is the absolute temperature, and R is the universal gas constant.
• So, the average kinetic energy = $\frac{3}{2} nRT$. Since R and n are constant for a given amount of gas,

      ⇒ KE ∝ T

• When two quantities are directly proportional to one another, their graph is a straight line passing through the origin.