Which of the following about the root-mean-square (rms) speed is TRUE? The rms s

Question

Which of the following about the root-mean-square (rms) speed is TRUE? The rms speed of a gas is the square of the average of Squareroot v of every molecule in the gas, where v is the Instantaneous speed of a molecule: v_rms = ((Squareroot v)_avg)^2 The rms speed of a gas is the squareroot of the average of v of every molecule in the gas squared, where v is the instantaneous speed of a molecule: v_rms = Squareroot (v_avg)^2 The rms speed of a gas is the square of the squareroot of the average of v of every molecule in the gas, where v is the Instantaneous speed of a molecule: v_rms = (Squareroot v_avg)^2 The rms speed of a gas is the squareroot of the average of v^2 of every molecule in the gas, where v is the instantaneous speed of a molecule: v_rms = Squareroot (v^2)_avg Which of the following statements about the temperature of an Ideal gas is FALSE? If two ideal gases composed of different mass molecules have the same rms speed for their molecules, the gases are at the same temperature. If two Ideal gases composed of the same number of moles of different mass molecules have the same pressure and are in containers of the same volume, the gases are at the same temperature. If two ideal gases composed of different mass molecules have the same average kinetic energy for their molecules, the gases are at the same temperature. The temperature of an Ideal gas is directly proportional to the average translational kinetic energy of the gas molecules.

Explanation / Answer

3) Option b.

This follows directly from the definition of root mean square velocity.

4) Option a.

The absolute temperature of an ideal gas is directly proportional to translational kinetic energy of the molecules.Even though rms velocity of two gases is equal but they're having different mass molecules which makes their kinetic energy different and consequently different temperature.

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