The pressure and temperature of $4 \ dm^3$ of carbon dioxide gas are doubled. Then the volume of carbon dioxide gas would be ............. $dm^3$.

An open vessel at $27\,^oC$ is heated such that $\frac{3}{5}$ of the air in it is expelled. Assuming the volume of the vessel remains constant,calculate the temperature in $K$ to which the vessel was heated.

What does the following graph represent?

Match the following gas laws with their respective equations.

The volume and pressure of a balloon filled with hydrogen gas are $1 \ bar$ and $175 \ dm^{3}$. When the balloon reaches a certain height,its pressure decreases to $0.8 \ bar$. Calculate the new volume of the balloon. (in $dm^{3}$)

If two identical containers $X$ and $Y$ containing $O_2$ gas are subjected to expansion from volume $V$ to $2V$ under identical isothermal conditions by applying pressure changes of $\Delta P$ and $0.2 \Delta P$ respectively,then the ratio of the mass of $O_2$ gas in container $X$ to container $Y$ is