Random Translational Kinetic Energy

In summary, random translational kinetic energy is the energy associated with the random motion and velocity of particles in a system. It differs from other types of kinetic energy, such as rotational and vibrational, as it specifically relates to the movement of particles rather than an object as a whole. The amount of random translational kinetic energy is affected by the mass and velocity of the particles in the system. Real-world examples include gas molecules in a room, particles in a liquid, and air molecules in the atmosphere. This type of energy is directly related to temperature, as an increase in temperature results in an increase in the random translational motion and velocity of particles within a system.
  • #1
Punkyc7
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What is the total random translational kinetic energy of 5.10 L of hydrogen gas (molar mass 2.016g/mo with pressure 1.04×10^5 Pa and temperature 301 K?

K=3/2nRT
Pv=nRT

P=1.01*10^5
V=5.1*10^-3

Is it just

PV/RT=n
K=3/2(PV/RT)(RT)

K=3/2 PV

K=772.62 J

Is that right because that seems too easy
 
Last edited:
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  • #2
It is right.

ehild
 

1. What is random translational kinetic energy?

Random translational kinetic energy is the energy possessed by an object due to its random motion and velocity in a given direction. It is a type of kinetic energy that is associated with the movement of particles in a system.

2. How is random translational kinetic energy different from other types of kinetic energy?

Random translational kinetic energy is different from other types of kinetic energy, such as rotational and vibrational kinetic energy, because it is specifically related to the motion of particles in a system rather than the movement of an object as a whole.

3. What factors affect the amount of random translational kinetic energy in a system?

The amount of random translational kinetic energy in a system is affected by the mass and velocity of the particles in the system. The greater the mass and velocity of the particles, the higher the amount of random translational kinetic energy.

4. What are some real-world examples of random translational kinetic energy?

Some examples of random translational kinetic energy in the real world include the movement of gas molecules in a room, the motion of particles in a liquid, and the movement of air molecules in the atmosphere.

5. How is random translational kinetic energy related to temperature?

Random translational kinetic energy is directly related to temperature. As the temperature of a system increases, the particles within it gain more kinetic energy, resulting in an increase in their random translational motion and velocity.

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