Question

If the absolute temperature of a gas is raised four times, what will happen to its kinetic energy, root-mean square velocity and pressure?

Answer 1

If the absolute temperature of a gas is raised four times, then

• Kinetic energy will become four times  as average Kinetic energy of gas  is directly proportional to absolute temperature .

• root mean-square velocity becomes twice.

         since R.M.s= √3kT/m

       if R.M.s =4

         R.m.s =√4

        R.M.s= 2

• Pressure is directly proportional to square of r.m.s velocity, hence pressure becomes four times