GATE ME 2015 Set 1 — Question 61
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Fluid Mechanics → Fluid Properties & Statics → Ideal & Real Gas Behaviour
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Question
Temperature of nitrogen in a vessel of volume is . A U-tube manometer connected to the vessel shows a reading of of mercury (level higher in the end open to atmosphere). The universal gas constant is , atmospheric pressure is , acceleration due to gravity is and density of mercury is . The mass of nitrogen (in kg) in the vessel is ________
Correct answer
4.4 to 4.6
Solution
Given:
Volume
Temperature
Manometer reading
Density of mercury
Atmospheric pressure
Universal gas constant Step 1: Calculate the gauge pressure.
Step 2: Calculate the absolute pressure.
Step 3: Calculate the gas constant for Nitrogen ().
Molecular weight of ,
Step 4: Use the ideal gas law to find the mass.
Volume
Temperature
Manometer reading
Density of mercury
Atmospheric pressure
Universal gas constant Step 1: Calculate the gauge pressure.
Step 2: Calculate the absolute pressure.
Step 3: Calculate the gas constant for Nitrogen ().
Molecular weight of ,
Step 4: Use the ideal gas law to find the mass.
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