How Do You Calculate Ideal-Gas Temperature from Mercury Pressure Data?

[zacl79]

Homework Statement

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|

Homework Equations

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

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 don't 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

 

[Philip Wood]

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

I recommend you evaluate the ratios P/P_tp 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.

 

[zacl79]

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

 

[Philip Wood]

419.56 k ?

 

[zacl79]

yep, exactly