State pressure-temperature relationship law (Gay-Lussac's law).

A gas cylinder containing cooking gas can withstand a pressure of 14.9 bar. The pressure gauge of the cylinder indicates 12 bar at 27°C. Due to sudden fire in the building, the temperature starts rising. At what temperature will the cylinder explode?

State Avogadro's law and prove that volume of gases at constant temperature and pressure is directly proportional to their number of moles.

Two flasks A and B have equal to volumes. Flask A contains H₂ and is maintained at 300K while the flask B contains an equal mass of CH₄ gas and is maintained at 600K. Which flask contains a greater number of molecules ? How many times?

With the help of Boyle's and Charle's laws, derive an expression for the ideal gas equation.

Derive the dimensions of the gas constant. 
Or
What do you mean by the nature of universal consant R?

Calculate the total number of electrons present in 1.4 g of dinitrogen gas.

How much time would it take to distribute one Avogadro number of wheat grains, if 10¹⁰grains are distributed each second?

Write the units of the gas constant R in different scales of measurement ?

Using the equation of state pV = nRT; show that at a given temperature density of a gas is proportional to gas pressure p.