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Temperature of nitrogen in a vessel of volume 2m3 is 288 K. A U-tube manometer connected to the vessel shows a reading of 70cm of mercury (level higher in the end open to atmosphere). The universal gas constant is 8314 J/kmol-K, atmospheric pressure is 1.01325 bar, acceleration due to gravity is 9.81 m/s2and density of mercury is 13600 kg/m3. The mass of nitrogen (in kg) in the vessel is?
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Temperature of nitrogen in a vessel of volume 2m3 is 288 K. A U-tube m...
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Temperature of nitrogen in a vessel of volume 2m3 is 288 K. A U-tube m...
Given data:
- Volume of the vessel (V) = 2 m3
- Temperature of nitrogen (T) = 288 K
- Manometer reading (h) = 70 cm of mercury
- Universal gas constant (R) = 8314 J/kmol-K
- Atmospheric pressure (Patm) = 1.01325 bar
- Acceleration due to gravity (g) = 9.81 m/s2
- Density of mercury (ρHg) = 13600 kg/m3
Calculating partial pressure of nitrogen:
- The pressure inside the vessel (P) can be calculated using the manometer reading and the density of mercury.
- The pressure difference between the two ends of the U-tube manometer is equal to the pressure exerted by the mercury column.
- The pressure exerted by the mercury column can be calculated using the equation: P = ρHg * g * h
- Converting the height from cm to m: h = 0.7 m
- Calculating the pressure: P = 13600 kg/m3 * 9.81 m/s2 * 0.7 m = 85590 Pa
- The total pressure inside the vessel can be calculated by adding the atmospheric pressure to the pressure exerted by the mercury column: Ptotal = Patm + P
- Converting atmospheric pressure from bar to Pa: Patm = 1.01325 * 105 Pa
- Calculating the total pressure: Ptotal = 1.01325 * 105 Pa + 85590 Pa = 191840 Pa
- The partial pressure of nitrogen (PN2) can be calculated using the ideal gas law equation: PN2 = Ptotal - Patm
- Calculating the partial pressure of nitrogen: PN2 = 191840 Pa - 1.01325 * 105 Pa = 90815 Pa
Calculating moles of nitrogen:
- The ideal gas law equation can be rearranged to calculate the number of moles (n) of nitrogen: n = PV / RT
- Converting the volume from m3 to cm3: V = 2 * 106 cm3
- Converting the pressure from Pa to atm: PN2 = 90815 Pa / (1.01325 * 105 Pa/atm) = 0.896 atm
- Converting the temperature from K to °C: T = 288 K - 273.15 = 14.85 °C
- Converting the volume from cm3 to L: V
- Volume of the vessel (V) = 2 m3
- Temperature of nitrogen (T) = 288 K
- Manometer reading (h) = 70 cm of mercury
- Universal gas constant (R) = 8314 J/kmol-K
- Atmospheric pressure (Patm) = 1.01325 bar
- Acceleration due to gravity (g) = 9.81 m/s2
- Density of mercury (ρHg) = 13600 kg/m3
Calculating partial pressure of nitrogen:
- The pressure inside the vessel (P) can be calculated using the manometer reading and the density of mercury.
- The pressure difference between the two ends of the U-tube manometer is equal to the pressure exerted by the mercury column.
- The pressure exerted by the mercury column can be calculated using the equation: P = ρHg * g * h
- Converting the height from cm to m: h = 0.7 m
- Calculating the pressure: P = 13600 kg/m3 * 9.81 m/s2 * 0.7 m = 85590 Pa
- The total pressure inside the vessel can be calculated by adding the atmospheric pressure to the pressure exerted by the mercury column: Ptotal = Patm + P
- Converting atmospheric pressure from bar to Pa: Patm = 1.01325 * 105 Pa
- Calculating the total pressure: Ptotal = 1.01325 * 105 Pa + 85590 Pa = 191840 Pa
- The partial pressure of nitrogen (PN2) can be calculated using the ideal gas law equation: PN2 = Ptotal - Patm
- Calculating the partial pressure of nitrogen: PN2 = 191840 Pa - 1.01325 * 105 Pa = 90815 Pa
Calculating moles of nitrogen:
- The ideal gas law equation can be rearranged to calculate the number of moles (n) of nitrogen: n = PV / RT
- Converting the volume from m3 to cm3: V = 2 * 106 cm3
- Converting the pressure from Pa to atm: PN2 = 90815 Pa / (1.01325 * 105 Pa/atm) = 0.896 atm
- Converting the temperature from K to °C: T = 288 K - 273.15 = 14.85 °C
- Converting the volume from cm3 to L: V
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Temperature of nitrogen in a vessel of volume 2m3 is 288 K. A U-tube manometer connected to the vessel shows a reading of 70cm of mercury (level higher in the end open to atmosphere). The universal gas constant is 8314 J/kmol-K, atmospheric pressure is 1.01325 bar, acceleration due to gravity is 9.81 m/s2and density of mercury is 13600 kg/m3. The mass of nitrogen (in kg) in the vessel is?
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Temperature of nitrogen in a vessel of volume 2m3 is 288 K. A U-tube manometer connected to the vessel shows a reading of 70cm of mercury (level higher in the end open to atmosphere). The universal gas constant is 8314 J/kmol-K, atmospheric pressure is 1.01325 bar, acceleration due to gravity is 9.81 m/s2and density of mercury is 13600 kg/m3. The mass of nitrogen (in kg) in the vessel is? 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 Temperature of nitrogen in a vessel of volume 2m3 is 288 K. A U-tube manometer connected to the vessel shows a reading of 70cm of mercury (level higher in the end open to atmosphere). The universal gas constant is 8314 J/kmol-K, atmospheric pressure is 1.01325 bar, acceleration due to gravity is 9.81 m/s2and density of mercury is 13600 kg/m3. The mass of nitrogen (in kg) in the vessel is? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Temperature of nitrogen in a vessel of volume 2m3 is 288 K. A U-tube manometer connected to the vessel shows a reading of 70cm of mercury (level higher in the end open to atmosphere). The universal gas constant is 8314 J/kmol-K, atmospheric pressure is 1.01325 bar, acceleration due to gravity is 9.81 m/s2and density of mercury is 13600 kg/m3. The mass of nitrogen (in kg) in the vessel is?.
Temperature of nitrogen in a vessel of volume 2m3 is 288 K. A U-tube manometer connected to the vessel shows a reading of 70cm of mercury (level higher in the end open to atmosphere). The universal gas constant is 8314 J/kmol-K, atmospheric pressure is 1.01325 bar, acceleration due to gravity is 9.81 m/s2and density of mercury is 13600 kg/m3. The mass of nitrogen (in kg) in the vessel is? 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 Temperature of nitrogen in a vessel of volume 2m3 is 288 K. A U-tube manometer connected to the vessel shows a reading of 70cm of mercury (level higher in the end open to atmosphere). The universal gas constant is 8314 J/kmol-K, atmospheric pressure is 1.01325 bar, acceleration due to gravity is 9.81 m/s2and density of mercury is 13600 kg/m3. The mass of nitrogen (in kg) in the vessel is? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Temperature of nitrogen in a vessel of volume 2m3 is 288 K. A U-tube manometer connected to the vessel shows a reading of 70cm of mercury (level higher in the end open to atmosphere). The universal gas constant is 8314 J/kmol-K, atmospheric pressure is 1.01325 bar, acceleration due to gravity is 9.81 m/s2and density of mercury is 13600 kg/m3. The mass of nitrogen (in kg) in the vessel is?.
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Temperature of nitrogen in a vessel of volume 2m3 is 288 K. A U-tube manometer connected to the vessel shows a reading of 70cm of mercury (level higher in the end open to atmosphere). The universal gas constant is 8314 J/kmol-K, atmospheric pressure is 1.01325 bar, acceleration due to gravity is 9.81 m/s2and density of mercury is 13600 kg/m3. The mass of nitrogen (in kg) in the vessel is?, a detailed solution for Temperature of nitrogen in a vessel of volume 2m3 is 288 K. A U-tube manometer connected to the vessel shows a reading of 70cm of mercury (level higher in the end open to atmosphere). The universal gas constant is 8314 J/kmol-K, atmospheric pressure is 1.01325 bar, acceleration due to gravity is 9.81 m/s2and density of mercury is 13600 kg/m3. The mass of nitrogen (in kg) in the vessel is? has been provided alongside types of Temperature of nitrogen in a vessel of volume 2m3 is 288 K. A U-tube manometer connected to the vessel shows a reading of 70cm of mercury (level higher in the end open to atmosphere). The universal gas constant is 8314 J/kmol-K, atmospheric pressure is 1.01325 bar, acceleration due to gravity is 9.81 m/s2and density of mercury is 13600 kg/m3. The mass of nitrogen (in kg) in the vessel is? theory, EduRev gives you an
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