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NEET2018ChemistryStates of MatterActual

In van der Waals equation at constant temperature 300 ~K , if a=1.4 ~atm ~L ~mol ⁻² , V=100 ~mL , n=1 ~mole , then what is the pressure of the gas?

Options

  1. A42 atm
  2. B210 atm
  3. C500 atm
  4. D106 atm

Correct answer

D. 106 atm

Step-by-step solution

At moderate pressure van der Waals equation is given as : aligned & (P+ a n^2 V^2 )(V)=n R T & (P+ 1.4 (0.1)^2 )(0.1)=1 0.082 300 aligned aligned & (P+140) 0.1=24.6 & 0.1 P+14=24.6 & 0.1 P=10.6 P=106 ~atm aligned

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