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JEE Advanced
Exam
JEE Advanced
Subject
Chemistry
Chapter
States of Matter

JEE Advanced · Chemistry · States of Matter

Paragraph: 1 mole of a real gas is taken in a container at T...

Paragraph: 1 mole of a real gas is taken in a container at T kelvin, its density, dd varies with pressure as d=3P−0.6P2d=3 P-0.6 P^2. Where dd is expressed in gm/L and P\mathbf{P} is expressed in atm. Answer the following questions.Question: Molecular mass (M) of the gas is given as

Options

  1. AdRT
  2. BdRT3\frac{d R T}{3}
  3. C3dRT
  4. D3RT

Correct answer

D. 3RT

Step-by-step solution

dP=3−0.6P It (dP)=3=MRT;M=3RTP→0\begin{aligned} & \frac{d}{P}=3-0.6 \mathrm{P} \\ & \text { It }\left(\frac{d}{P}\right)=3=\frac{M}{R T} ; M=3 R T \\ & P \rightarrow 0\end{aligned}
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