Kinetic Theory CBSE Questions & Answers

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 \( \times \) \({\rm{1}}{0^{ - {\rm{10}}0}}\) m. On average, how frequently does one molecule collide with another?

In a 30.0-s interval, 500 hailstones strike a glass window with an area of 0.600 \({{\rm{m}}^{\rm{2}}}\) at an angle of 45.0\(^\circ \) to the window surface. Each hailstone has a mass of 5.00 g and a speed of 8.00 m/s. If the collisions are elastic, what are the average force and pressure on the window?

In a 30.0-s interval, 500 hailstones strike a glass window with an area of 0.600 \({{\rm{m}}^{\rm{2}}}\) at an angle of 45.0\(^\circ \) to the window surface. Each hailstone has a mass of 5.00 g and a speed of 8.00 m/s. If the collisions are elastic, what is the pressure on the window?

A 14.5 kg mass, fastened to the end of a steel wire of unstretched length 1.0 m, is whirled in a vertical circle with an angular velocity of 2 rev/s at the bottom of the circle. The cross-sectional area of the wire is 0.065 \({\rm{c}}{{\rm{m}}^{\rm{2}}}\). Calculate the elongation of the wire when the mass is at the lowest point of its path.

A spherical balloon with a volume of 4 000 \({\rm{cm3}}\) contains helium at an (inside) pressure of 1.20 \( \times \) \({\rm{1}}{0^{{\rm{5}}}}\) Pa. How many moles of helium are in the balloon if each helium atom has an average kinetic energy of 3.60 \( \times \) \({\rm{1}}{0^{ - {\rm{22}}}}\) J?

How many atoms of helium gas fill a balloon of diameter 30.0 cm at 20.0\(^\circ \)C and 1.00 atm?

What is the average kinetic energy of the helium atoms in a balloon of diameter 30.0 cm at 20.0\(^\circ \)C and 1.00 atm?

What is the root-mean-square speed of helium atoms in a balloon of diameter 30.0 cm at 20.0\(^\circ \)C and 1.00 atm?

A cylinder contains a mixture of helium and argon gas in equilibrium at 150\(^\circ \)C. What is the average kinetic energy for each type of gas molecule?

Anvils made of single crystals of diamond, with the shape as shown in Figure, are used to investigate behaviour of materials under very high pressures. Flat faces at the narrow end of the anvil have a diameter of 0.50 mm, and the wide ends are subjected to a compression force of 50,000 N. What is the pressure at the tip of the anvil?

Calculate the change in internal energy of 3.00 mol of helium gas when its temperature is increased by 2.00 K.

One mole of hydrogen gas is heated at constant pressure from 300 K to 420 K. Calculate the energy transferred by heat to the gas

One mole of hydrogen gas is heated at constant pressure from 300 K to 420 K. Calculate the increase in its internal energy.

One mole of hydrogen gas is heated at constant pressure from 300 K to 420 K. Calculate the work done by the gas.

A house has well-insulated walls. It contains a volume of 100 \({{\rm{m}}^{\rm{3}}}\) of air at 300 K. Calculate the energy required to increase the temperature of this air by 1.00\(^\circ \) C.