Solving Gauge Pressure with Boyle's and Charle's Law

AI Thread Summary
To solve for gauge pressure using Boyle's and Charles's Law, it's essential to convert temperature from Celsius to Kelvin, as the laws are based on the ideal gas formula where temperature must be in absolute units. The equation provided, (pg1V1)T1=(pg2V2)T2, requires consistent units for accurate calculations. Using Celsius instead of Kelvin would result in incorrect dimensions and values. Therefore, for gauge pressure calculations, always use Kelvin for temperature. Proper unit conversion is crucial for accurate results in gas law applications.
kimkibun
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good day!

i was asked to solve for gauge pressure, pg1, using the combined Boyle's and Charle's Law,

(pg1V1)T1=(pg2V2)T2

where V is the volume of gas and T is the temperature (in °C). now here's my question, we know that in computing for absolute pressure we need to convert the temperature to Kelvin (or Rankine) if the given is in °C, since gauge pressure is the difference between the absolute and atmospheric pressure, do i need to convert the given temperature in °K?

thanks and GB!
 
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Yes, you need, because Boyle's and Charle's Law are derived form ideal gas formula (pV=nRT=NkT) where temperatures are given in Kelvins. If you put Celsius you will have different dimensions.
 

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