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

Chemistry · JEE Advanced · NTA ExamsStates of Matter (Gases and Liquids)


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 \(\text { ⇒ }\) \(\mathrm{d}=\frac{\mathrm{PM}}{\mathrm{RT}}\)
 
Which of the following has maximum density?
  1. O2 at 250C and 1 atm
  2. O2 at 00C and 2 atm
  3. O2 at 2730C and 1 atm
  4. O2 at 00C and 1 atm

Answer

(B) O 2 at 0 0 C and 2 atm

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