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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 :
- 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?
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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.
∵ Vreal < Videal; Hence Z < 1
If Z < 1, attractive forces are dominant among gaseous molecules and liquefaction of gas will be easy.
Most Upvoted Answer
A gas at 350 K and 15 bar has molar volume 20 percent smaller than tha...
The correct option about the gas and its compressibility factor (Z) cannot be determined from the given information alone.
Explanation:
The molar volume of an ideal gas at 350 K and 15 bar can be calculated using the ideal gas law:
PV = nRT
where P = 15 bar, V is the molar volume, n is the number of moles, R is the gas constant, and T = 350 K.
Rearranging, we get:
V = (nRT)/P
If we assume that the gas is ideal, then we can use this equation to find the molar volume of the gas:
Videal = (nRT)/P = (1 mol)(8.314 J/mol-K)(350 K)/(15 bar) = 152.8 cm^3/mol
However, the problem states that the actual molar volume of the gas is 20% smaller than this value. This means that the actual molar volume is:
Vactual = 0.8 Videal = 0.8(152.8 cm^3/mol) = 122.24 cm^3/mol
Now, we can use the definition of compressibility factor (Z) to relate the actual molar volume to the molar volume of an ideal gas at the same conditions:
Z = (PVactual)/(nRT) = (15 bar)(122.24 cm^3/mol)/(1 mol)(8.314 J/mol-K)(350 K)
Z = 0.997
This value of Z is very close to 1, which suggests that the gas behaves almost like an ideal gas under these conditions. However, we cannot determine if the gas is actually ideal or not without more information about its properties or behavior.
Explanation:
The molar volume of an ideal gas at 350 K and 15 bar can be calculated using the ideal gas law:
PV = nRT
where P = 15 bar, V is the molar volume, n is the number of moles, R is the gas constant, and T = 350 K.
Rearranging, we get:
V = (nRT)/P
If we assume that the gas is ideal, then we can use this equation to find the molar volume of the gas:
Videal = (nRT)/P = (1 mol)(8.314 J/mol-K)(350 K)/(15 bar) = 152.8 cm^3/mol
However, the problem states that the actual molar volume of the gas is 20% smaller than this value. This means that the actual molar volume is:
Vactual = 0.8 Videal = 0.8(152.8 cm^3/mol) = 122.24 cm^3/mol
Now, we can use the definition of compressibility factor (Z) to relate the actual molar volume to the molar volume of an ideal gas at the same conditions:
Z = (PVactual)/(nRT) = (15 bar)(122.24 cm^3/mol)/(1 mol)(8.314 J/mol-K)(350 K)
Z = 0.997
This value of Z is very close to 1, which suggests that the gas behaves almost like an ideal gas under these conditions. However, we cannot determine if the gas is actually ideal or not without more information about its properties or behavior.
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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 :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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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 :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? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 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 :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? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 :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?.
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 :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? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 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 :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? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 :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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