What is the Formula for Calculating the Temperature of an Ideal Gas?

In summary, the ideal gas law is a fundamental equation that describes the relationship between pressure, volume, temperature, and amount of gas. The temperature of an ideal gas is directly proportional to the average kinetic energy of its particles and can be measured using a thermometer or gas thermometer. The relationship between temperature and volume in an ideal gas is known as Charles' Law, where the volume will increase or decrease proportionally with temperature, assuming constant pressure and amount. Absolute zero is the lowest possible temperature at which all molecular motion stops and according to the ideal gas law, the volume of an ideal gas would be zero at this temperature.
  • #1
pat666
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Homework Statement


see attachment.
I've asked this question before but no one replied. not sure what formula I should use.
already tried lambda (max and med) = C*m*K but neither of them worked.
I need some help with this pretty quick if anyone can, thanks.


Homework Equations





The Attempt at a Solution

 

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  • #2
I think you should use the equipartition theorem.

3/2 k x T= K

(Where K is the kinetic energy and k is the Boltzmann constant)
 
  • #3
That worked.
Thanks for the quick reply!
 

FAQ: What is the Formula for Calculating the Temperature of an Ideal Gas?

What is the ideal gas law?

The ideal gas law is a fundamental equation in thermodynamics that describes the relationship between the pressure, volume, temperature, and amount of a gas.

What is the temperature of an ideal gas?

The temperature of an ideal gas is directly proportional to the average kinetic energy of its particles. In other words, as the temperature increases, the particles move faster and collide more frequently with the walls of the container, resulting in an increase in pressure.

How is the temperature of an ideal gas measured?

The temperature of an ideal gas can be measured using a thermometer or other temperature measuring devices. In scientific experiments, a gas thermometer filled with an ideal gas, such as helium or hydrogen, is often used to measure temperature.

What is the relationship between temperature and volume in an ideal gas?

According to the ideal gas law, if the pressure and amount of an ideal gas are held constant, the volume of the gas will increase or decrease proportionally with the temperature. This relationship is known as Charles' Law.

What is absolute zero and how does it relate to the temperature of an ideal gas?

Absolute zero is the lowest possible temperature at which all molecular motion stops. It is equivalent to -273.15 degrees Celsius or 0 Kelvin. According to the ideal gas law, the volume of an ideal gas would be zero at absolute zero temperature, as there is no molecular motion to create pressure.

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