$28 \ g$ of $N_2$ gas occupies $10 \ L$ volume at $2.46 \ atm$ pressure. Calculate the temperature in $K$.

What is the number of molecules in $0.082 \ L$ of an ideal gas kept at a temperature of $400 \ K$ and a pressure of $10 \ atm$?

Under what conditions does an ideal gas have maximum density?

An open vessel at $27\,^{\circ}C$ is heated until two-fifths of the air (assumed as an ideal gas) in it has escaped from the vessel. Assuming that the volume of the vessel remains constant,the temperature to which the vessel has been heated is:

What is the compressibility factor of an ideal gas?

Which of the following equations does $NOT$ represent Charles's law for a given mass of gas at constant pressure?