List of top Chemistry Questions on The Kinetic Theory of Gases asked in AP EAMCET

The rms velocity (\( u_{\text{rms}} \)), mean velocity (\( u_{\text{av}} \)), and most probable velocity (\( u_{\text{mp}} \)) of a gas differ from each other at a given temperature. Which of the following ratios regarding them is correct?
At 240.55 K, for one mole of an ideal gas, a graph of \( P \) (on y-axis) and \( V^{-1} \) (on x-axis) gave a straight line passing through the origin. Its slope (m) is 2000 J mol\(^{-1}\). What is the kinetic energy (in J mol\(^{-1}\)) of the ideal gas?