i) In a cylinder 4 moles of Helium gas (M= 4.02 x 103 kg/mole) is at 30 °C temperature. Calculate for the gas: (R=8.31 J/kg-mole K and KB =1.38 x 10-3 J/K) (a) the average kinetic energy of a molecule, (b) the total random kinetic energy of all the molecules, and (c) the rms speed of a molecule

i) Evaluate rms speed, the average kinetic energy of a molecule and total random kinetic energy of all the molecules in 5 moles of methane gas at a temperature of 800 K. (Molar mass of methane is 16.04 x 10*mole/kg, and kB = 1.38 x 10-23 J/K)

What is the average translational kinetic energy of an ideal-gas molecule at 27C? (b) What is the total random translational kinetic energy of the molecules in 1 mole of this gas? (c) What is the rms speed of oxygen molecules at this temperature?

57. ssm Initially, the translational rms speed of a molecule of an ideal gas is 463 m/s. The pressure and volume of this gas are kept constant, while the number of molecules is doubled. What is the final translational rms speed of the molecules?

3) In a cylinder 6 moles of natural gas (M-19.09 x 10* kg/mole) is at 40°C temperature. Calculate for the gas: (R-8.31 J/kg-mole K and KB -1.38 x 10-3 J/K) (a) the average kinetic energy of a molecule, (b) the total random kinetic energy of all the molecules, and (c) the rms speed of a molecule

i) List any two uses of Kinetic Theory of gases. In a cylinder 5 moles of Methane gas (M=16.04 x 103 kg/mole) is at ii) 35 °C temperature. Calculate for the gas: (R=8.31 J/kg-mole K and KB =1.38 x 1023 J/K) (a) the average kinetic energy of a molecule, (b) the total random kinetic energy of all the molecules, and (c) the rms speed of a molecule

Estimate the time needed for a glycine molecule (see Table 13−413−4 in the textbook) to diffuse a distance of 27 μmμm in water at 20 ∘C∘C if its concentration varies over that distance from 1.16 mol/m3mol/m3 to 0.40 mol/m3mol/m3 . Compare this "speed" to its rms (thermal) speed. The molecular mass of glycine is about 75 u. vdiffusevrmsvdiffusevrms =

(I) How many moles of water are there in 1.000 L at STP?How many molecules?

i) Evaluate rms speed, the average kinetic energy of a molecule and total random kinetic energy of all the molecules in 5 moles of methane gas at a temperature of 800 K. (Molar mass of methane is 16.04 x 10 °mole/kg, and kB= 1.38 x 10-23 J/K) ii) edict the heat taken by a gas, if the gas expands from 200 cm³ to 450 cm³ at constant pressure of 120000 Pa and the internal energy increases by 30 J.