A gas is enclosed in the room. The temperature, pressure, density, and the number of moles respectively are t \(^{o}\)C, p atm, g cm^-3 and n moles. What will be the values of pressure, temperature, density, and the number of moles in each compartment if the walls between the two compartments (say 1 and 2) are removed?

3

(a)

A 2 L flask contains 1.6g of methane and 0.5 g of hydrogen at 27^oC. Calculate the partial pressure of each gas in the mixture and also calculate the total pressure.

3

(a)

0.64 g of an oxide of sulphur occupies 0.224 L at 2 bars and 273^oC. Identify the compound.Also, find out the mass of one molecular of the gas.

3

(a)

The compression factor(compressibility factor) for one mole of a van der Waals gas at 0^oC and 100 atm pressure is found to be 0.5. Assuming that the volume of a gas molecule is negligible, calculate the van der Walas' constant a.

3

(a)

30 mol of chlorine gas occupies a volume of 500 ml at 315K and 4 x 10⁵ Pa pressure.Calculate the compressibility factor of the gas. (R = 0.083 L bar K^-1 mol^-1)

3

(a)

Pressure of 1 g of an ideal gas A at 27\(^{o}\) C is found to be 2 bar. When 2 g of another ideal gas B is introduced in the same flask at the same temperature, the pressure becomes 3 bar. Find a relationship between their molecular masses.

3

(a)

Give reasons for the following. The size of weather balloon becomes larger and larger as it ascends into higher altitudes.

3

(a)

Give reasons for the following. Tyres of automobiles are inflated to the lesser pressure in summer than in winter.

3

(a)

Pressure versus volume graph for a real gas and an ideal gas are shown in figure. Answer the following questions on the basis of the graph.

Interpret the behaviour of real gas with respect to ideal gas at low pressure.

3

(a)

Pressure versus volume graph for a real gas and an ideal gas are shown in figure . Answer the following questions on the basis of the graph.

Mark the pressure and volume by drawing a line at the point where real gas behaves as an ideal gas.

3

(a)

The variation of the vapour pressure of different liquids with temperature is shown in the figure below.

Pressure cooker is used for cooking food at the hill station. Explain in terms of vapour pressure why is it so?

3

(a)

The values of the van der Waal's constants for a gas are a = 4.10 dm⁶ bar mol^-2 and b = 0.035 dm³ mol^-1. Calculate the values of the critical temperature and critical pressure for the gas.

3

(a)

The pressure of a mixture of H₂ and N₂ in a container is 1200 torr. The partial pressure of nitrogen in the mixture is 300 torr. What is the ratio of H₂ and N₂ molecules in the mixture?

3

(a)

(a) What do you mean by 'Surface Tension' of a liquid?
(b) Explain the factors which can affect the surface tension of a liquid

3

(a)