Thermo 1st Law open system question

AI Thread Summary
The discussion focuses on a thermodynamics problem involving an insulated nozzle where air expands isentropically from 150 kPa to 100 kPa. The main query revolves around the equation m(dot)[h2-h1) + 1/2(v2^2 - v1^2) and the conversion of units, specifically how 1/2 becomes 1/2000. Clarification is provided that the factor of 1000 is necessary to convert units from kg-m^2/s^2 to kJ, as 1 J equals 1 kg-m^2/s^2. The participant expresses gratitude for the clarification on the unit conversion. Understanding these unit conversions is crucial for solving thermodynamic equations accurately.
Abi_mecheng
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Homework Statement


An insulated nozzle receives are at a negligible velocity at a pressure of 150kpa and temp of 25 degrees C. if the flow passing through the nozzle expands to 100kpa in an isentropic process, calculate the temperature and velocity of the air leaving the nozzle.

The Attempt at a Solution



Solution is attached but I don't understand how 1/2 becomes 1/2000 in the equation m(dot)[h2-h1)+1/2(v2^2 - v1^2)

Thanks
 

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Be advised that the solution has P1 = 130 kPa, not 150 kPa.
 
Abi_mecheng said:

The Attempt at a Solution



Solution is attached but I don't understand how 1/2 becomes 1/2000 in the equation m(dot)[h2-h1)+1/2(v2^2 - v1^2)

Thanks

Look at the units of the various parts of this equation. The additional factor of 1000 comes about to convert kg-m^2/s^2 to kJ (1 J = 1 kg-m^2/s^2).
 
Ohh ok totally missed that, thanks for pointing that out much appreciated.
 

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