Express the universal gas constant $\left(\mathrm{R}\right)$ value in $\mathrm{S}.\mathrm{I}$ system.

Which one of the following graphs is not correct for ideal gas?

$\mathrm{d}=$ Density, $\mathrm{P}=$ Pressure, $\mathrm{T}=$Temperature

One moles each of four ideal gases are kept as follows. 

I. $5 \mathrm{L}$ of gas $\left(\mathrm{A}\right)$ at $2 \mathrm{atm}$ pressure

II. $2.5 \mathrm{L}$ of gas $\left(\mathrm{B}\right)$ at $2 \mathrm{atm}$ pressure

III. $1.25 \mathrm{L}$ of gas $\left(\mathrm{C}\right)$ at $2 \mathrm{atm}$ pressure

IV. $2.5 \mathrm{L}$ of gas $\left(\mathrm{D}\right)$ at $2.5 \mathrm{atm}$ pressure

Which of the above gases is kept at highest temperature.

The volume of gas $\mathrm{A}$ is twice than that of gas $\mathrm{B}$. The compressibility factor of gas $\mathrm{A}$ is thrice than that of gas $\mathrm{B}$ at same temperature. What are the pressures of the gases for equal number of moles?

A container of volume $2.24 \text{L}$can with stand a maximum pressure of $2$ atm at $298 \text{K}$ before exploding. The maximum amount of nitrogen (in $\text{g}$) that can be safely put in this container at this temperature is closest to