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JEE Advanced
Exam
JEE Advanced
Subject
Chemistry
Chapter
States of Matter

JEE Advanced · Chemistry · States of Matter

1 ~m^3 container is filled with vapours of 0.40 kg at 1 atm and 400...

1 m31 \mathrm{~m}^3 container is filled with vapours of 0.40 kg at 1 atm and 400 K . When 0.025 kg of H2\mathrm{H}_2 gas effuses through a pin hole, 0.1 kg of vapours effuse in the same time interval. Select the incorrect statement about the vapours from the given options

Options

  1. AMolar mass of vapour is 32 g mol−132 \mathrm{~g} \mathrm{~mol}^{-1}
  2. BCompression factor (Z) >1\gt1
  3. CVapour is showing negative deviation from ideal gas
  4. DVm\mathbf{V}_{\mathrm{m}} (real) ≠Vm\neq \mathbf{V}_{\mathrm{m}} (ideal)

Correct answer

C. Vapour is showing negative deviation from ideal gas

Step-by-step solution

nH2nv=MvMH20.025×Mv2×0.1=Mv2⇒Mv=32 g mol−1PV=nRTV=400×0.0821×40032×1=410.5 L\begin{aligned} & \frac{n H_2}{n_v}=\sqrt{\frac{M_v}{M_{H_2}}} \\ & \frac{0.025 \times M_v}{2 \times 0.1}=\sqrt{\frac{M_v}{2}} \\ & \Rightarrow \quad M_v=32 \mathrm{~g} \mathrm{~mol}^{-1} \\ & P V=n R T \\ & V=\frac{400 \times 0.0821 \times 400}{32 \times 1} \\ & =410.5 \mathrm{~L} \end{aligned} Which is far less than, the actual volume occupied by gas. So, Z>1
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