At $300 \ K$ and $760 \ torr$ pressure, the density of a mixture of $He$ and $O_2$ gases is $0.543 \ g \ L^{-1}$. The mass percent of oxygen is approximately $(R = 0.0821 \ L \ atm \ K^{-1} \ mol^{-1})$

Identify the incorrect statement among the following:

$A$ vessel of volume $1.2 \, L$ contains a gas at $1000 \, torr$ pressure. Another vessel of volume $3.8 \, L$ contains the same gas at $500 \, torr$ pressure. If both vessels are connected by a tube of negligible volume,what will be the resultant pressure in $torr$ when equilibrium is established?

The combination of plots which do not represent isothermal expansion of an ideal gas is

Consider the following statements:
Statement-$I$: If thermal energy is stronger than intermolecular forces,the substance prefers to be in a gaseous state.
Statement-$II$: At constant temperature,the density of an ideal gas is proportional to its pressure.
The correct answer is:

Indicate the correct statement for a $1 \ L$ sample of $N_{2(g)}$ and $CO_{2(g)}$ at $298 \ K$ and $1 \ atm$ pressure.