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A gas at 350 K and 15 bar has molar volume 20 percent smaller than that for an ideal gas under the same conditions. The correct option about the gas and its compressibility factor (Z) is :    [2019]
  • a)
    Z > 1 and attractive forces are dominant
  • b)
    Z > 1 and repulsive forces are dominant
  • c)
    Z < 1 and attractive forces are dominant
  • d)
    Z < 1 and repulsive forces are dominant
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A gas at 350 K and 15 bar has molar volume 20 percent smaller than tha...
Compressibility factor(Z) 
∵ Vreal < Videal; Hence Z < 1
If Z < 1, attractive forces are dominant among gaseous molecules and liquefaction of gas will be easy.
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Most Upvoted Answer
A gas at 350 K and 15 bar has molar volume 20 percent smaller than tha...
The compressibility factor (Z) is given by:
Z = (Vreal / Videal) * (P / RT)

where Vreal is the molar volume of the real gas, Videal is the molar volume of the ideal gas, P is the pressure, R is the gas constant, and T is the temperature.

We are given that the molar volume of the real gas is 20% smaller than that of the ideal gas under the same conditions. This means that Vreal = 0.8 * Videal.

Substituting this into the equation for Z, we get:
Z = (0.8 * Videal / Videal) * (15 bar / (8.314 J/mol-K * 350 K))

Z = 0.429

Option (c) is correct: Z < 1,="" indicating="" that="" the="" gas="" is="" more="" compressible="" than="" an="" ideal="" gas="" under="" the="" same="" conditions.="" 1,="" indicating="" that="" the="" gas="" is="" more="" compressible="" than="" an="" ideal="" gas="" under="" the="" same="" />
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A gas at 350 K and 15 bar has molar volume 20 percent smaller than that for an ideal gas under the same conditions. The correct option about the gas and its compressibility factor (Z) is : [2019]a)Z > 1 and attractive forces are dominantb)Z > 1 and repulsive forces are dominantc)Z < 1 and attractive forces are dominantd)Z < 1 and repulsive forces are dominantCorrect answer is option 'C'. Can you explain this answer?
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