At $STP$,$2 \ mol$ of $N_2$ gas in a $50 \ L$ container exhibits:

The nitrogen gas pressure inside a container of volume $2.6 \ cm^3$ is $2.3 \ atm$ at $27^{\circ} C$. The approximate number of moles of nitrogen present in the container is $[R=0.0821 \ L \ atm \ mol^{-1} \ K^{-1}]$

If $P$,$V$,and $T$ represent pressure,volume,and temperature of the gas,the correct representation of Boyle's law is:

For a fixed amount of gas,the volume is $x \ L$ at a pressure of $y \ atm$ and a temperature of $z \ K$. At which of the following conditions will the volume remain $x \ L$? (Consider $y \neq z$)

At $300\, K$,the density of a certain gaseous molecule at $2\, bar$ is double that of dinitrogen $(N_2)$ at $4\, bar$. The molar mass of the gaseous molecule is ............... $g\, mol^{-1}$.

The density of a gas is equal to ...... ($P =$ pressure,$V =$ volume,$T =$ temperature,$R =$ gas constant,$n =$ number of moles,and $M_w =$ molecular weight):