- #1

CAF123

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## Homework Statement

Below is some values of the observed values of pressure P of a gas in a constant volume gas thermometer at an unknown temperature and at the triple point of water as the mass of the gas used is reduced.

##P_{TP}## (torr) | 100 | 200 | 300 | 400

##P## (torr) | 127.9 | 256.5 | 385.8 | 516

Consider ##\lim_{P_{TP} \rightarrow 0} (P/P_{TP})## and then determine T.

## Homework Equations

Ideal Gas scale

## The Attempt at a Solution

Ideally, I would want to take the pressure at the triple point as close to possible to zero. However, with the given data, I closest I have is P

_{TP}= 100 torr, so I will have to extrapolate from the given ratios.

The 4 ratios calculated were 1.279, 1.2825, 1.286 and 1.29. The answer in the back of the book is precise so I am not really sure how I could precisely extrapolate this data to the origin. I could approximate the data as linear (i.e P proportional to P

_{TP}), but this appears to not be what is required.

Many thanks.