What is the average distance between atoms (interatomic distance) in water? Use the data given in Examples : (i) The density of water is 1000 kgm^-3. The density of water vapour at 100⁰C and 1 atm pressure is 0.6 kgm ^-3 .The volume of a molecule multiplied by the total number gives ,what is called, molecular volume. Estimate the ratio (or fraction) of the molecular volume to the total volume occupied by the water vapour under the above conditions of temperature and pressure.
(ii) Estimate the volume of a water molecule using the data in Example : The density of water is 1000 kgm^-3. The density of water vapour at 100⁰C and 1 atm pressure is 0.6 kgm ^-3 .The volume of a molecule multiplied by the total number gives ,what is called, molecular volume. Estimate the ratio (or fraction) of the molecular volume to the total volume occupied by the water vapour under the above conditions of temperature and pressure.

Two non-reactive gases are kept in a container. The ratio of their partial pressures is given 5:3. Find the ratio of number of molecules.

A gas at 27⁰C in a cylinder has a volume of 4L and pressure 100 N/m². If the gas is first compressed at constant temperature so that the pressure is 150 N/m². Estimate the change in volume.  

A container is filled with a gas at a pressure of 76 cm of mercury at a certain temperature. The mass of a gas is increased by 50% by introducing more gas in the container at same temperature. Calculate the final pressure of the gas.

If the mass of each molecule of a gas is halved and speed is doubled. Find the ratio of initial and final pressure.

An oxygen cylinder of volume 30 L has an initial gauge pressure of 15 atm and a temperature of 27⁰C. After some oxygen is withdraw from the cylinder, the gauge pressure drop to 11 atm and its temperature drops to  17⁰ C.Estimate mass of oxygen taken out of the cylinder (R = 8.3 L mol^-1K^-1, molecular mass of O₂= 32)

An electric bulb of volume 250 cm³ was sealed off during manufacture at a pressure of 10^-3 mm of mercury at 27⁰C. Compute the number of air molecule contained in the bulb.Given that, molecules contained in the bulb. Given that, R = 8.31 J/mol/K N_A= \(6.02\times { 10 }^{ 23 }{ mol }^{ -1 }\).

Estimate the total number of air molecules (inclusive of oxygen, nitrogen, water vapour and other constituents) in a room of capacity 25.0 m³ at a temperature of 27 °C and 1 atm pressure.

At what temperature is the root mean square speed of oxygen atom equal to the r.m.s. speed of helium gas atom at -10⁰C? Atomic mass of oxygen = 32 and that of helium = 4.0.

Explain the pressure exerted by an ideal gas and also find the average kinetic energy per molecule of the gas