Sealed inside a rigid, poorly insulated vessel is 3 m^3 of diatomic nitrogen. The system is at 1 bar, and the saturated nitrogen is 30% vapor by mass. The vessel will rupture if the pressure reaches 10 bar. Heat transfer from the surrounding atmosphere enters at an average rate of 70 kJ per hour. Determine the time interval before the vessel ruptures, in hours.

Sealed inside a rigid, poorly insulated vessel is 3 m^3 of diatomic nitrogen. The system is at 1 bar, and the saturated nitrogen is 30% vapor by mass. The vessel will rupture if the pressure reaches 10 bar. Heat transfer from the surrounding atmosphere enters at an average rate of 70 kJ per hour. Determine the time interval before the vessel ruptures, in hours.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Work and Heat Transfer

It is generally related to thermal engineering which tells about the use, creation, conversion and transfer of heat energy between the systems. It is also considered that to transfer heat from one source to another, transfer of masses is also required. There are various mechanisms by which, transfer of heat takes place i.e. thermal conduction, convection, radiation or by change of phase. All these mechanisms have their own specific features which sometimes occur simultaneously within the same system.

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Sealed inside a rigid, poorly insulated vessel is 3 m^3 of diatomic nitrogen. The system is at 1 bar,
and the saturated nitrogen is 30% vapor by mass. The vessel will rupture if the pressure reaches 10
bar. Heat transfer from the surrounding atmosphere enters at an average rate of 70 kJ per hour.
Determine the time interval before the vessel ruptures, in hours.

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Step 1: determine the time interval in hours before the vessel ruptures.

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Step 2: Calculate time initial mass of nitrogen in the vessel, the final mass of nitrogen after vaporization

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Step 3: Calculate the energy absorbed during vaporization.

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Step 4: Calculate the time interval before rupture.

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