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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
States of Matter

NTA Abhyas 2020 · Chemistry · States of Matter

For one mole of a van der Waals gas when b = 0 and T = 300 K, the...

For one mole of a van der Waals gas when b = 0 and T = 300 K, the PV vs. 1V\dfrac{1}{V} plot is shown below. The value of the van der Waals constant a (atm.litre2mol−2)\left(\text{atm} . \text{litr}{\text{e}}^{2}\text{mo}{\text{l}}^{- 2}\right) is

For one mole of a van der Waals gas when b = 0 and T = 300 K, the PV vs. (1)/(V) plot is shown below. The value of the

Options

  1. A1.5
  2. B2.5
  3. C1.75
  4. D1.0

Correct answer

A. 1.5

Step-by-step solution

PV=ZRT\text{PV} = \text{ZRT} and Z=1−aZRTZ = 1 - \dfrac{a}{ZRT}

PV=PV =\left(1 - \dfrac{a}{VRT}\right)RT<br/><br/><br/><br/>\text{PV} = \text{RT} - \dfrac{a}{V}<br/><br/>SlopeofgraphbetweenPVand<br/><br/>Slope of graph between PV and\dfrac{1}{V}is−a<br/><br/>is -a<br/><br/>a = \dfrac{21.6 - 20.1}{3 - 2} = 1.5
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