Kinetic Theory CBSE Questions & Answers

Estimate the total number of air molecules (inclusive of oxygen, nitrogen, water vapor and other constituents) in a room of capacity 25.0 \({{\rm{m}}^{\rm{3}}}\) at a temperature of 27 \(^\circ \)C and 1 atm pressure.

Estimate the average thermal energy of a helium atom at room temperature (27 \(^\circ \)C)

Estimate the average thermal energy of a helium atom at the temperature on the surface of the Sun (6000 K)

Estimate the average thermal energy of a helium atom the temperature of 10 million Kelvin (the typical core temperature in the case of a star).

Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains neon (monatomic), the second contains chlorine (diatomic), and the third contains uranium hexafluoride (polyatomic). The number of molecules

Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains neon (monatomic), the second contains chlorine (diatomic), and the third contains uranium hexafluoride (polyatomic). In which case is \({{\rm{v}}_{{\rm{rms}}}}\) the largest?

At what temperature is the root mean square speed of an atom in an argon gas cylinder equal to the rms speed of a helium gas atom at – 20\(^\circ {\rm{C}}\) ? (Atomic mass of Ar = 39.9 u, of He = 4.0 u).

Estimate the mean free path and collision frequency of a nitrogen molecule in a cylinder containing nitrogen at 2.0 atm and temperature 17\(^\circ {\rm{C}}\). Take the radius of a nitrogen molecule to be roughly 1.0 \(\mathop A\limits^0 \).

In constructing a large mobile, an artist hangs an aluminum sphere of mass 6.0 kg from a vertical steel wire 0.50 m long and 2.5 \( \times \) \({\rm{1}}{0^{ - {\rm{3}}}}\) \({\rm{c}}{{\rm{m}}^{\rm{2}}}\)in cross-sectional area. On the bottom of the sphere he attaches a similar steel wire, from which he hangs a brass cube of mass 10.0 kg. Compute the tensile strain.

A tank used for filling helium balloons has a volume of 0.300 \({{\rm{m}}^{\rm{3}}}\) and contains 2.00 mol of helium gas at 20.0\(^\circ {\rm{C}}\). Assuming that the helium behaves like an ideal gas, What is the average kinetic energy per molecule?

Air at 20.0\(^\circ {\rm{C}}\) in the cylinder of a diesel engine is compressed from an initial pressure of 1.00 atm and volume of 800.0 \({\rm{c}}{{\rm{m}}^{\rm{3}}}\) to a volume of 60.0 \({\rm{c}}{{\rm{m}}^{\rm{3}}}\). Assume that air behaves as an ideal gas with \(\gamma = 1.4\) and that the compression is adiabatic. Find the final pressure of the air.

Air at 20.0\(^\circ {\rm{C}}\) in the cylinder of a diesel engine is compressed from an initial pressure of 1.00 atm and volume of 800.0 \({\rm{c}}{{\rm{m}}^{\rm{3}}}\) to a volume of 60.0 \({\rm{c}}{{\rm{m}}^{\rm{3}}}\). Assume that air behaves as an ideal gas with \(\gamma = 1.4\) and that the compression is adiabatic. Find the final pressure and temperature of the air

Nine particles have speeds of 5.00, 8.00, 12.0, 12.0, 12.0, 14.0, 14.0, 17.0, and 20.0 m/s. find the particles’ average speed.

Nine particles have speeds of 5.00, 8.00, 12.0, 12.0, 12.0, 14.0, 14.0, 17.0, and 20.0 m/s. What is the rms speed?

Approximate the air around you as a collection of nitrogen molecules, each of which has a diameter of 2.00 Approximate the air around you as a collection of nitrogen molecules, each of which has a diameter of 2.00 \( \times \) \({\rm{1}}{0^{ - {\rm{1}}0}}\) m. How far does a typical molecule move before it collides with another molecule?