Answered: By considering momentum changes for an… | bartleby

Related questions

Question

By considering momentum changes for an individual molecule inside a rectangular box, derive an expression for PV in terms of molecular mass, the number of molecules, and mean square speed. Compare this to the ideal gas equation to show that the mean kinetic energy of a molecule is 1.5 k_B

Expert Solution

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

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 sample of carbon dioxide (CO₂) has a volume of 0.04 m³. The gas has a pressure of 1.6 x 106 Pa and its temperature is 24 degrees C. List of atomic mass units can be found HERE a) What is the mass of the whole sample of gas? b) How many molecules are in the cylinder? c) What is the average kinetic energy per molecule? d) What is the rms speed of the molecules?
A krypton-84 atom has a mass of 1.39 x 10-25 kg. (a) What temperature (in K) would a gas composed entirely of krypton-84 atoms have to be at in order for the rms speed of the atoms to equal the escape speed from Earth, 1.12 x 10 m/s? K (b) What temperature (in K) would a gas composed entirely of krypton-84 atoms have to be at in order for the rms speed of the atoms to equal the escape speed from the Moon, 2.37 x 10 m/s? K
An argon-40 atom has a mass of 6.64 ✕ 10−26 kg. (a) What temperature (in K) would a gas composed entirely of argon-40 atoms have to be at in order for the rms speed of the atoms to equal the escape speed from Earth, 1.12 ✕ 104 m/s? K (b) What temperature (in K) would a gas composed entirely of argon-40 atoms have to be at in order for the rms speed of the atoms to equal the escape speed from the Moon, 2.37 ✕ 103 m/s? K
What is the average energy per molecule of a gas at 592 K? unit J %3D Assuming the gas is 02, has a molecular mass of 32 u, what is the rms speed of each molecule? unit
A research group recently made an interesting discovery, while studying laser interactions with molecular gases. They found that nitrous oxide molecules (mass 44.013 g per mole) can reach temperatures exceeding 1,648 degrees Celsius after a interacting with a few closely-spaced (in time) laser pulses. At this temperature, what is the rms speed (in m/s) of a nitrous oxide molecule?
.5 moles of Neon gas at 210C has a volume of 0.935 m3. Without changing the pressure, the volume is change to 0.784 m3. (a) What is the average root mean square velocity of a molecule after the change? (b) What is the total kinetic energy of the gas? (MWNe = 20.18 u)