Interpretation:
It is to derive an equation for final temperature of gas remaining in the tank contains gas at some given temperatureinitially after tank has been bled from an initial pressure to final temperature at given initial and final pressure
Concept Introduction:
Since temperature is involved in this problem so energy balance is required. Since assumption is that gas is ideal with constant properties, so energy balance shall be
Where
This is a throttling process since stream bled from the tank is throttled. So,
Or
In terms of moles or material balance is
Where
For steady state
Or
To solve the problem, it is needed to find a relation which relates heat transfer of the tank to quantity of air supplies to it and its temperaturechange. Hence,
And
Where
So, the quantity of air supplies to tank is
For non adiabatic, no shaft work steady state neglecting kinetic and potential terms, the resultant energy balance shall be
Multiplying by
Hence
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