An open vessel containing air was heated from $27^{\circ} C$ to $727^{\circ} C$. Some air was expelled. What is the fraction of air remaining in the vessel? (Assume air as an ideal gas)

At $27^{\circ} C$,$1 \ L$ of $H_2$ with a pressure of $1 \ bar$ is mixed with $2 \ L$ of $O_2$ with a pressure of $2 \ bar$ in a $10 \ L$ flask. What is the pressure exerted by the gaseous mixture in $bar$? (Assume $H_2$ and $O_2$ as ideal gases)

Under what conditions does an ideal gas have maximum density?

The value of the compressibility factor for an ideal gas is ........ .

Which of the following laws gives the relation between volume and temperature?

An open flask at $27^{\circ}C$ contains air. To what temperature $(^{\circ}C)$ should it be heated so that one-third of the air is expelled from the flask?