Chemistry-
General
Easy

Question

Sketch shows the plot of Zvsp for a hypothetical gas for one mole at
three distinct temperature


Boyle’s temperature is the temperature at which a gas shows ideal behaviour over a pressure range in the low pressure region. Boyle’s temperature left parenthesis T subscript b end subscript right parenthesis equals fraction numerator a over denominator R b end fraction. If a plot is obtained at temperature below Boyle’s temperature then the curve will show negative deviation in low pressure region and positive deviation in the high pressure region. Near critical temperature, the curve is more likely as C O subscript 2 end subscript and the temperature above critical temperature curve is more likeH subscript 2 end subscript at 0 ℃
For 500 K plot value of Z changes from 2 to 2.2 if pressure is varied from 1000 atm to 1200 atm (high pressure) then the value of fraction numerator b over denominator R T end fraction will be

  1. 10 to the power of negative 4 end exponent a t m to the power of negative 1 end exponent    
  2. 10 to the power of negative 3 end exponent a t m to the power of negative 1 end exponent    
  3. 10 to the power of negative 5 end exponent a t m to the power of negative 1 end exponent    
  4. 0.10 blank a t m to the power of negative 1 end exponent    

The correct answer is: 10 to the power of negative 3 end exponent a t m to the power of negative 1 end exponent


    We know that
    In the high pressure region
    Z equals 1 plus fraction numerator p b over denominator R T end fraction
    2 equals 1 plus fraction numerator 1000 b over denominator R T end fraction …(i)
    2.2 equals 1 plus fraction numerator 1200 b over denominator R T end fraction …(ii)
    Solving both the equation we get fraction numerator b over denominator R T end fraction equals 10 to the power of negative 3 end exponent a t m to the power of negative 1 end exponent

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