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A vessel of volume 0.4 m3 contains 0.45 kg of carbon monoxide and 1 kg of air. The gravimetric analysis of air is to be taken as 23.3% oxygen and 76.7% nitrogen. Take the molar masses of carbon monoxide, oxygen and nitrogen as 28, 32 and 28 kg/Kmol. The total pressure in the vessel is______________ kPa.
Take mixture temperature as 15°C.
Correct answer is '303.8'. Can you explain this answer?
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A vessel of volume 0.4 m3 contains 0.45 kg of carbon monoxide and 1 k...
Solution:
Given,
Volume of the vessel = 0.4 m³
Mass of CO = 0.45 kg
Mass of air = 1 kg
Gravimetric analysis of air = 23.3% O₂ and 76.7% N₂
Molar masses:
MCO = 28 kg/kmol
MO₂ = 32 kg/kmol
MN₂ = 28 kg/kmol
Temperature of the mixture = 15°C
To find: Total pressure in the vessel
Let us first find out the moles of each gas present in the mixture.
Moles of CO (nCO) = Mass of CO / Molar mass of CO
nCO = 0.45 kg / 28 kg/kmol
nCO = 0.01607 kmol
Moles of O₂ (nO₂) = (23.3 / 100) x 1 kg / Molar mass of O₂
nO₂ = 0.008125 kmol
Moles of N₂ (nN₂) = (76.7 / 100) x 1 kg / Molar mass of N₂
nN₂ = 0.02735 kmol
Total moles of the mixture (nT) = nCO + nO₂ + nN₂
nT = 0.01607 + 0.008125 + 0.02735
nT = 0.05155 kmol
From the ideal gas law, PV = nRT
Total pressure (P) = nRT / V
where R is the universal gas constant and is equal to 8.314 kPa.m³/kmol.K.
To find the temperature in Kelvin, T = 273.15 + 15 = 288.15 K
Substituting the values, we get,
P = (0.05155 kmol x 8.314 kPa.m³/kmol.K x 288.15 K) / 0.4 m³
P = 303.8 kPa
Therefore, the total pressure in the vessel is 303.8 kPa.
Given,
Volume of the vessel = 0.4 m³
Mass of CO = 0.45 kg
Mass of air = 1 kg
Gravimetric analysis of air = 23.3% O₂ and 76.7% N₂
Molar masses:
MCO = 28 kg/kmol
MO₂ = 32 kg/kmol
MN₂ = 28 kg/kmol
Temperature of the mixture = 15°C
To find: Total pressure in the vessel
Let us first find out the moles of each gas present in the mixture.
Moles of CO (nCO) = Mass of CO / Molar mass of CO
nCO = 0.45 kg / 28 kg/kmol
nCO = 0.01607 kmol
Moles of O₂ (nO₂) = (23.3 / 100) x 1 kg / Molar mass of O₂
nO₂ = 0.008125 kmol
Moles of N₂ (nN₂) = (76.7 / 100) x 1 kg / Molar mass of N₂
nN₂ = 0.02735 kmol
Total moles of the mixture (nT) = nCO + nO₂ + nN₂
nT = 0.01607 + 0.008125 + 0.02735
nT = 0.05155 kmol
From the ideal gas law, PV = nRT
Total pressure (P) = nRT / V
where R is the universal gas constant and is equal to 8.314 kPa.m³/kmol.K.
To find the temperature in Kelvin, T = 273.15 + 15 = 288.15 K
Substituting the values, we get,
P = (0.05155 kmol x 8.314 kPa.m³/kmol.K x 288.15 K) / 0.4 m³
P = 303.8 kPa
Therefore, the total pressure in the vessel is 303.8 kPa.
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Community Answer
A vessel of volume 0.4 m3 contains 0.45 kg of carbon monoxide and 1 k...
Mass of nitrogen present = 76.7/100 x 1 = 0.767 kg
We know for any ideal gas
For a constituent
The total pressure
P = Po2 + PN2 + PCo
P = 303.8 kPa
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A vessel of volume 0.4 m3 contains 0.45 kg of carbon monoxide and 1 kg of air. The gravimetric analysis of air is to be taken as 23.3% oxygen and 76.7% nitrogen. Take the molar masses of carbon monoxide, oxygen and nitrogen as 28, 32 and 28 kg/Kmol. The total pressure in the vessel is______________ kPa.Take mixture temperature as 15°C.Correct answer is '303.8'. Can you explain this answer?
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A vessel of volume 0.4 m3 contains 0.45 kg of carbon monoxide and 1 kg of air. The gravimetric analysis of air is to be taken as 23.3% oxygen and 76.7% nitrogen. Take the molar masses of carbon monoxide, oxygen and nitrogen as 28, 32 and 28 kg/Kmol. The total pressure in the vessel is______________ kPa.Take mixture temperature as 15°C.Correct answer is '303.8'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A vessel of volume 0.4 m3 contains 0.45 kg of carbon monoxide and 1 kg of air. The gravimetric analysis of air is to be taken as 23.3% oxygen and 76.7% nitrogen. Take the molar masses of carbon monoxide, oxygen and nitrogen as 28, 32 and 28 kg/Kmol. The total pressure in the vessel is______________ kPa.Take mixture temperature as 15°C.Correct answer is '303.8'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vessel of volume 0.4 m3 contains 0.45 kg of carbon monoxide and 1 kg of air. The gravimetric analysis of air is to be taken as 23.3% oxygen and 76.7% nitrogen. Take the molar masses of carbon monoxide, oxygen and nitrogen as 28, 32 and 28 kg/Kmol. The total pressure in the vessel is______________ kPa.Take mixture temperature as 15°C.Correct answer is '303.8'. Can you explain this answer?.
A vessel of volume 0.4 m3 contains 0.45 kg of carbon monoxide and 1 kg of air. The gravimetric analysis of air is to be taken as 23.3% oxygen and 76.7% nitrogen. Take the molar masses of carbon monoxide, oxygen and nitrogen as 28, 32 and 28 kg/Kmol. The total pressure in the vessel is______________ kPa.Take mixture temperature as 15°C.Correct answer is '303.8'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A vessel of volume 0.4 m3 contains 0.45 kg of carbon monoxide and 1 kg of air. The gravimetric analysis of air is to be taken as 23.3% oxygen and 76.7% nitrogen. Take the molar masses of carbon monoxide, oxygen and nitrogen as 28, 32 and 28 kg/Kmol. The total pressure in the vessel is______________ kPa.Take mixture temperature as 15°C.Correct answer is '303.8'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vessel of volume 0.4 m3 contains 0.45 kg of carbon monoxide and 1 kg of air. The gravimetric analysis of air is to be taken as 23.3% oxygen and 76.7% nitrogen. Take the molar masses of carbon monoxide, oxygen and nitrogen as 28, 32 and 28 kg/Kmol. The total pressure in the vessel is______________ kPa.Take mixture temperature as 15°C.Correct answer is '303.8'. Can you explain this answer?.
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A vessel of volume 0.4 m3 contains 0.45 kg of carbon monoxide and 1 kg of air. The gravimetric analysis of air is to be taken as 23.3% oxygen and 76.7% nitrogen. Take the molar masses of carbon monoxide, oxygen and nitrogen as 28, 32 and 28 kg/Kmol. The total pressure in the vessel is______________ kPa.Take mixture temperature as 15°C.Correct answer is '303.8'. Can you explain this answer?, a detailed solution for A vessel of volume 0.4 m3 contains 0.45 kg of carbon monoxide and 1 kg of air. The gravimetric analysis of air is to be taken as 23.3% oxygen and 76.7% nitrogen. Take the molar masses of carbon monoxide, oxygen and nitrogen as 28, 32 and 28 kg/Kmol. The total pressure in the vessel is______________ kPa.Take mixture temperature as 15°C.Correct answer is '303.8'. Can you explain this answer? has been provided alongside types of A vessel of volume 0.4 m3 contains 0.45 kg of carbon monoxide and 1 kg of air. The gravimetric analysis of air is to be taken as 23.3% oxygen and 76.7% nitrogen. Take the molar masses of carbon monoxide, oxygen and nitrogen as 28, 32 and 28 kg/Kmol. The total pressure in the vessel is______________ kPa.Take mixture temperature as 15°C.Correct answer is '303.8'. Can you explain this answer? theory, EduRev gives you an
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