Assuming H_2 is an ideal gas, consider the quantity " P. d ", where ' P ' is the pressure in atm and ' d ' is the density in g L^-1. For P =8.21 atm,…

Assuming $\displaystyle \mathrm{H}_2$ is an ideal gas, consider the quantity " $\displaystyle \mathrm{P} . d$ ", where ' P ' is the pressure in atm and ' $\displaystyle d$ ' is the density in $\displaystyle \mathrm{g} \mathrm{L}^{-1}$. For $\displaystyle \mathrm{P}=8.21 \mathrm{~atm}$, it is observed that $\displaystyle \left(\frac{\partial(\mathrm{P} d)}{\partial \mathrm{P}}\right)_{\mathrm{T}}=10.0 \mathrm{~g} \mathrm{~L}^{-1}$. The corresponding temperature in K is \_\_\_\_. (Nearest integer) [Assume $\displaystyle \mathrm{R}=0.0821 \mathrm{~L} \mathrm{~atm} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}$ ]