Kinetic Theory of Gases Physics - Kinetic Theory of Gases

The energy of a given sample of an ideal gas depends only on its:

The rms speed of oxygen molecules in a gas is v. If the temperature is doubled and the oxygen molecules dissociate into oxygen atoms, the rms speed will become:

Which of the following parameters is the same for molecules of all gases at a given temperature?

There is some liquid in a closed bottle. The amount of liquid remains constant as time passes. The vapour in the remaining part:

Is it possible to boil water at room temperature, say 30°C? If we touch a flask containing water boiling at this temperature, will it be hot?

A gas is kept in an enclosure. The pressure of the gas is reduced by pumping out some gas. Will the temperature of the gas decrease by Charles's law?

Can we define the temperature of vacuum? The temperature of a single molecule?

It is said that the assumptions of kinetic theory are good for gases having low densities. Suppose a container is so evacuated that only one molecule is left in it. Which of the assumptions of kinetic theory will not be valid for such a situation? Can we assign a temperature to this gas?

A gas is kept in a rigid cubical container. If a load of 10kg is put on the top of the container, does the pressure increase?

The weather report reads, "Temperature 20°C : Relative humidity 100%". What is the dew point?

A barometer correctly reads the atmospheric pressure as 76cm of mercury. Water droplets are slowly introduced into the barometer tube by a dropper. The height of the mercury column first decreases and then becomes constant. lf the saturation vapour pressure at the atmospheric temperature is 0.80cm of mercury, find the height of the mercury column when it reaches its minimum value.

The temperature and the dew point in an open room are 20°C and 10°C. If the room temperature drops to 15°C, what will be the new dew point?

A barometer tube is 80cm long (above the mercury reservoir). It reads 76cm on a particular day. A small amount of water is introduced in the tube and the reading drops to 75.4cm. Find the relative humidity in the space above the mercury column if the saturation vapour pressure at the room temperature is 1.0cm.

Figure. shows a vessel partitioned by a fixed diathernnc separator. Different ideal gases are filled in the two parts. The rms speed of the molecules in the left part equals the mean speed of the molecules in the right part. Calculate the ratio of the mass of a molecule in the left part to the mass of a molecule in the right part.

At what temperature the mean speed of the molecules of hydrogen gas equals the escape epeed from the earth?

Figure. shows a cylindrical tube with adiabatic walls and fitted with a diathermic separator. The separator can be slid in the tube by an external mechanism. An ideal gas is injected into the two sides at equal pressures and equal temperatures. The separator remains in equilibrium at the middle. It is now slid to a position where it divides the tube in the ratio of 1 : 3. Find the ratio of the pressures in the two parts of the vessel.

Find the rms speed of hydrogen molecules in a sample of hydrogen gas at 300K. Find the temperature at which the rms speed is double the speed calculated in the previous part.

An ideal gas is trapped between a mercury column and the closed-end of a narrow vertical tube of uniform base containing the column. The upper end of the tube is open to the atmosphere. The atmospheric pressure equals 76cm of mercury. The lengths of the mercury column and the trapped air column are 20cm and 43cm respectively. What will be the length of the air column when the tube is tilted slowly in a vertical plane through an angle of 60°? Assume the temperature to remain constant.

The human body has an average temperature of 98°F. Assume that the vapour pressure of the blood in the veins behaves like that of pure water. Find the minimum atmospheric pressure which is necessary to prevent the blood from boiling. Use figure. of the text for the vapour pressures.

50cc of oxygen is collected in an inverted gas jar over water. The atmospheric pressure is 99.4kPa and the room temperature is 27°C. The water level in the jar is same as the level outside. The saturation vapour pressure at 27°C is 3.4kPa. Calculate the number of moles of oxygen collected in the jar.

On a winter day, the outside temperature is 0°C and relative humidity 40%. The air from outside comes into a room and is heated to 20°C. What is the relative humidity in the room? The saturation vapour pressure at 0°C is 4.6mm of mercury and at 20°C it is 18mm of mercury.