What is the relationship between the temperature and kinetic energy of gas molecules as per the kinetic gas theory?

The kinetic energy is inversely proportional to temperature

Two different gases at the same temperature have the same kinetic energy

The correct choice emphasizes that when two different gases are at the same temperature, they exhibit the same average kinetic energy. According to the kinetic molecular theory, the temperature of a gas is directly related to the average kinetic energy of its molecules. This means that if two gases are at the same temperature, it can be concluded that their molecules are moving at an equivalent average speed, resulting in equal kinetic energy.

This relationship arises from the formula for kinetic energy, which is given by \( KE = \frac{1}{2}mv^2 \), where \( m \) is the mass of a molecule and \( v \) is its velocity. Temperature can be related to the average kinetic energy of gas molecules through the equation \( KE_{avg} = \frac{3}{2}kT \), where \( k \) is the Boltzmann constant and \( T \) is the temperature in Kelvin. This demonstrates that temperature serves as a measure of the average kinetic energy, establishing that at a constant temperature, different gases will share the same average kinetic energy, regardless of their molecular weights.

The kinetic energy is independent of temperature

Kinetic energy is lowest at high temperatures

Want more questions?

All options are one-time payments.

$25.99

30 day premium pass

All the basics to get you started

  • Ad-free experience
  • View your previous attempt history
  • Mobile app access
  • In-depth explanations
  • 30 day premium pass access
$59.99 $171.99 usd

6 month DELUXE pass (most popular)

Everything with the 30 day premium pass FOR 6 MONTHS! & the ultimate digital PDF study guide (BONUS)

  • Everything included in the premium pass
  • $171.99 usd value for $59.99! You save $106!
  • + Access to the ultimate digital PDF study guide
  • + 6 months of premium pass access
  • + Priority support
$15.99 $24.99

Ultimate digital PDF study guide

For those that prefer a more traditional form of learning

  • Available for instant download
  • Available offline
  • Hundreds of practice multiple choice questions
  • Comprehensive content
  • Detailed explanations
Image Description
Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy