velocit of gas molecule is 3m/s at 1000k. at what temperature velocity becomes 12m/s?

To find out at what temperature the velocity of a gas molecule becomes 12 m/s, we can use the equation for the root mean square (RMS) velocity of a gas molecule. The RMS velocity formula is given by:

v = √(3kT / m)

Where:
- v is the velocity of the gas molecule
- k is the Boltzmann constant (1.38 x 10^-23 J/K)
- T is the temperature in Kelvin
- m is the mass of the gas molecule

We can rearrange this equation to solve for T:

T = (v^2 * m) / (3k)

First, we need to determine the mass of the gas molecule. This information is not provided in the question, so it cannot be answered without knowing the specific gas. The molar mass of the gas molecule is needed to proceed with the calculation.

Please provide the mass of the gas molecule in order to continue with the calculation.