Density of gas is inversely proportional to temperature and directly proportional to…

Density of gas is inversely proportional to temperature and directly proportional to pressure.
\(\text { ⇒ }\) \(\mathrm{d} \propto \frac{\mathrm{P}}{\mathrm{~T}}\) \(\text { ⇒ }\) \(\frac{\mathrm{dT}}{\mathrm{P}}\) = constant
\(\text { ⇒ }\) \(\frac{\mathrm{d}_{1} \mathrm{~T}_{1}}{\mathrm{P}_{1}}=\frac{\mathrm{d}_{2} \mathrm{~T}_{2}}{\mathrm{P}_{2}}\) 
Density at a particular temperature & pressure can be calculated by using ideal gas equation
PV = nRT \(\text { ⇒ }\) \(\mathrm{PV}=\frac{\mathrm{mass}}{\text { molar mass }(\mathrm{M})} \times \mathrm{RT}\) 
\(\text { ⇒ }\) P × M \(=\frac{\text { mass }}{\text { volume }} \times \mathrm{RT}\)
\(\text { ⇒ }\) P × M = d × RT \(\text { ⇒ }\) \(\mathrm{d}=\frac{\mathrm{PM}}{\mathrm{RT}}\)
 
The density of gas is 3.8 g L^–1 at STP. The density at 27⁰C and 700 mm Hg pressure will be