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Ideal-Gas Temperature Problem

  1. Jul 18, 2011 #1
    1. The problem statement, all variables and given/known data

    I have been given measurements of Ptp and corresponding values of P for mercury. My task is to calculate the idea-gas temperature Tg of the material to five significant figures.

    Ptp| 1000.0|750.00|500.00|250.00|
    P |1535.3 |1151.6| 767.82| 383.95|

    2. Relevant equations

    Tg(K) = 273.16 lim Pt ->0 (P/Ptp)

    3. The attempt at a solution

    Ok i have read up on the ideal gas temperature scale, and sort of grasp it. I have graphed the table and got and equations relating the line to be:

    P = 1.5351x +0.21

    I dont believe that this is the right way to go about this problem. I am just asking for some direction, as i have hit a wall.

    Thanks Zac
     
  2. jcsd
  3. Jul 20, 2011 #2

    Philip Wood

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    Gold Member

    I'm assuming that the 'material' is mercury.

    I recommend you evaluate the ratios P/Ptp for each of the four pairs. Take 6 sig figs, i.e. 5 decimal places. You should notice a simple quantitative trend. So what looks to be the limit as P approaches zero?

    Say if you get stuck.
     
  4. Jul 20, 2011 #3
    Thanks Philip, i managed to get it sorted, i found an approximation for Lim Ptp->0 (P/Ptp), when i graphed P/Ptp Vs Pt so then was able to approximate the limit to find out my temperature.
    Thanks heaps
     
  5. Jul 20, 2011 #4

    Philip Wood

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    Gold Member

    419.56 k ?
     
  6. Jul 20, 2011 #5
    yep, exactly
     
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