Two ideal gases, A and B, are at the same temperature. If themolecular mass of the molecules in gas A is twice that of themolecules in gas B, the molecules’ root-mean-square speed is(a) the same in both gases. (d) twice as great in B.(b) twice as great in A. (e) 1.4 times greater in B.(c) 1.4 times greater in A

An astronaut visiting Mars leaves a canister of 1.25 moles of ideal diatomic nitrogen gas of mol mass: 4.56 x 10-26 kg on Mars' surface. Mars has no atmosphere, a mass of 7.35 x 1022 kg and a radius of 1.74 x 106 m.  1. If the canister is cylindrical, comprising of a radius of 0.150 m and a length of 0.450 m, with a nitric pressure of 1.00 x 105 Pa: a) What is the magnitude of force that the nitrogen gas applies to the canister walls? b) Show that the temperature of the gas is 306K.  2. If a piston inside the canister moves compressing the gas in an isothermic process, increasing the pressure of gas by a factor of 5.00, what is the change in entropy of the gas as a result?  3. Work out how the most likely speed of a molecule in the canister is 426 ms-1  b) If you start with an expression for gravitational potential energy, show the minimum vertical velocity required for a particle on the surface of Mars to escape into space is 2.37 x 103 ms-1. c) If the lid is opened by the astronaut,…

Two moles of a helium gas are at a temperature of 260 K. Calculate the average kinetic energy per atom, the root-mean-square (rms) speed of atoms in the gas, and the internal energy of the gas. HINT (a) the average kinetic energy per atom (in J)  J (b) the root-mean-square (rms) speed (in m/s) of atoms in the gas  m/s (c) the internal energy of the gas (in J)  J

A glass container encloses a low pressure of 02 gas at 298 K. The molecular weight of 02 is 32.0 g/mol.  (A) Calculate the mean squared velocity, v², of these molecules in units of m²/s². (B) Find the root mean squared speed along the x-axis, Vx. (C) Would Vx be lower, higher, or the same under the same conditions if the gas were He instead of 02? Please explain your answer in 15 words or less.