This should be an easy one units in Pressure formula

AI Thread Summary
The discussion revolves around understanding the units in the pressure vs. temperature formula P = 0.0034T + 0.9517. The slope of the equation, 0.0034, is identified as having units of kPa/°C, while the Y-intercept, 0.9517, is in kPa. This clarification is essential for performing calculations correctly. The units ensure that when temperature in Celsius is multiplied by the slope, the result remains in kPa, maintaining consistency in the equation. Proper unit identification is crucial for accurate problem-solving in physics.
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Homework Statement



A problem about pressure vs. temperature of a gas. Details not necessary since I'm just looking for specific help (see "Relevant equations").

Homework Equations



P = 0.0034T + 0.9517

This is the equation that I'm given, which is the slope of the line plotting pressure vs temperature. The 0.0034 is the slope and the 0.9517 is the Y-intercept. Finding the units isn't what he's looking for, but I need to know the units in order to do my calculations and show my work properly.

The Attempt at a Solution



Pressure is given in kPa, and Temperature in Celsius.

My idea was that the unit of 0.9517 was kPa, and the unit for 0.0034 was kPa/degrees Celsius, so that the 1/Celsius of that and the Celsius of the temperature would cancel out, leaving only kPa on both numbers.
 
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You're correct. If you were told that P is in kPa and T is in °C, then it's kPa/°C for the slope, and 0.9517 kPa.

p.s. Welcome to Physics Forums.
 

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