Which of the following is equal to $[{\partial P/\partial V}]_T$ for an ideal gas?

What is the ideal gas equation? Derive the equation for an ideal gas and describe the characteristics of $R$ and its value.

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

For an ideal gas,if $P$ is the pressure,$R$ is the gas constant,and $T$ is the temperature,which of the following represents the number of moles per liter?

Calculate the pressure of $HCl$ gas having a density of $8 \, kg \, m^{-3}$ at a temperature of $-40 \, ^oC$. (Given: $R = 8.314 \, J \, K^{-1} \, mol^{-1}$,Molar mass of $HCl = 36.5 \, g \, mol^{-1} = 0.0365 \, kg \, mol^{-1}$)

$A$ plot of volume $(V)$ of the gas versus temperature ($T$ in $K$) is shown below. Which of the following options is correct for the plot?