At a given temperature,the density of an ideal gas is proportional to $(P = \text{pressure of ideal gas})$

The ratio of densities of two gases is $1 : 2$. If the ratio of their temperatures is $2 : 1$,find the ratio of their corresponding pressures. (Assume the molar masses of the gases are equal.)

If the pressure and absolute temperature of $2 \ L$ of $CO_2$ are doubled,the volume of $CO_2$ would become ............... $L$.

The use of hot air balloons for sports and meteorological observations is based on which of the following laws?

$A$ gas occupies $10 \ L$ at $0 \ ^{\circ}C$ and $2 \ atm$ pressure. At what temperature will the pressure in the container be $2.5 \ atm$,assuming the volume remains constant (in $^{\circ}C$)?

Calculate the density of $CO_2$ at $100\, ^oC$ and $800\, mm\, Hg$ of pressure in $g/L$.