Gases questions | form five Chemistry

State the following:

1. Boyle`s law.
2. Charles` law.
3. Avogadro`s law.
4. Dalton`s law of partial pressure.
5. Graham`s law of diffusion.

A certain amount of a gas was found to occupy 100cm³ at 33^oC and 97x10³ Nm^-2. Calculate the volume of the gas at standard temperature and pressure. Show your work clearly including manipulations of units. [1 atm=101.3x10³ Nm^-2].

At 1.0 atmosphere pressure and 30^oC , 1.236g of a gas was found to occupy a volume of 512cm³. Calculate the relative molecular mass of the gas. Show your work clearly including manipulations of units. [1 atm=101.3x10³ Nm^-2].

The compressibility factor, Z, is used to test the ideality or non-ideality of real gases.

1. Write an expression for compressibility factor , Z.
2. At what values of Z a real gas shows ideal behaviour, positive and negative deviation from ideality?

A gas was found to diffuse through a porous material 1.49 times faster than chlorine gas. Calculate the molecular mass of the gas giving your answer in two decimal places. [Molecular mass of chlorine =71.0g mol^-1].

State the meaning of an ideal gas.

State two postulates of kinetic molecular theory of gases which are incorrect for real gases. express their corresponding corrections and derive the van der Waals` equation.

Calculate the pressure exerted by 1.00 mole of methane in a 250mL container at 300K. Show your work clearly including units manipulations. [van der Waals` constants a=2.253(dm³)²) atm mol^-2; b=0.0428dm³ mol^-1]

Write two similarities between diffusion and effusion.

The rate of effusion of unknown gas was measured to be 24.0 mL/min. Under the same conditions, the measured rate of effusion of pure methane was 47.8mL/min. What is the molar mass of the unknown gas?