What is the purpose of dividing the height by 1000?

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The division of height by 1000 in the thermodynamics problem is intended to convert pressure from pascals (Pa) to kilopascals (kPa). The height was initially converted from millimeters to meters, so the division is not for unit conversion from mm to m. The equation's clarity is questioned, suggesting that parentheses could improve understanding. The discussion emphasizes that the division is necessary for proper unit consistency in the final result. Overall, clearer notation could enhance comprehension of the calculations involved.
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Why is the height "/1000"?

Homework Statement



In the attached example problem, why did the height, originally in millimeters then converted to meters, be divided by 1000?

Note: This is a thermodynamics related question? Or at least from a thermo textbook.

I thought that the units were fine when using 0.750 m.
 

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The equation is poorly written, IMO. The /1000 at the end is to convert from Pa to kPa. It's not an attempt to convert mm to m, since they did that with the 750mm = 0.750m already. If they would have put parens around the whole numerator, that would have made it a bit clearer. Better yet, they should have used parens, and then multiplied by 1: 1 = 1kPa/1000Pa
 
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