This should be an easy one units in Pressure formula

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SUMMARY

The discussion centers on the formula for pressure versus temperature of a gas, specifically the equation P = 0.0034T + 0.9517. In this equation, P represents pressure in kilopascals (kPa) and T represents temperature in degrees Celsius (°C). The slope of the line, 0.0034, has units of kPa/°C, while the Y-intercept, 0.9517, is in kPa. Understanding these units is crucial for accurate calculations and demonstrating work in physics problems.

PREREQUISITES
  • Understanding of basic algebra and linear equations
  • Familiarity with units of pressure (kPa) and temperature (°C)
  • Knowledge of the concept of slope in a graph
  • Basic principles of gas laws in physics
NEXT STEPS
  • Study the ideal gas law and its applications
  • Learn about dimensional analysis for unit conversions
  • Explore the relationship between pressure and temperature in real gases
  • Investigate graphical representations of linear equations in physics
USEFUL FOR

This discussion is beneficial for students studying physics, particularly those focusing on thermodynamics and gas laws, as well as educators looking for clear examples of unit analysis in equations.

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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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