GATE ME 2017 Set 2 — Question 45
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Thermodynamics → Laws & Properties → Ideal & Real Gas Behaviour
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Question
The volume and temperature of air (assumed to be an ideal gas) in a closed vessel is and , respectively. The gauge pressure indicated by a manometer fitted to the wall of the vessel is . If the gas constant of air is and the atmospheric pressure is , the mass of air (in kg) in the vessel is
Correct answer
(C) 5.00
Solution
Using the ideal gas equation:where is the absolute pressure.
Absolute pressure :Given:
Rearranging for mass :Thus, the correct option is (C).
Absolute pressure :Given:
Rearranging for mass :Thus, the correct option is (C).
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