I had to find the root mean square velocity of a gas using the only formula KE=1/2MV^2 . Is this even possible using only this formula?

Yes, it is possible to find the root mean square velocity of a gas using the equation KE = 1/2MV^2, where KE represents the kinetic energy, M represents the mass of the gas particles, and V represents the velocity of the gas particles.

To find the root mean square velocity, follow these steps:

1. Identify the gas for which you want to calculate the root mean square velocity.
2. Determine the molar mass of the gas. This can be obtained from the periodic table by adding up the atomic masses of all the atoms in one molecule of the gas.
3. Convert the molar mass to kilograms by dividing by the Avogadro's number (6.022 x 10^23).
4. Calculate the kinetic energy of one gas particle using the given formula KE = 1/2MV^2. Rearrange the equation to solve for V (velocity).
5. Square both sides of the equation and multiply by 2/ M to solve for V^2.
6. Take the square root of both sides of the equation to find the root mean square velocity (Vrms).

Remember to use consistent units when performing the calculations. The root mean square velocity is a measure of the average speed of gas particles in a sample, and it is directly proportional to the temperature of the gas.