Answer to Question #105089 in Mechanics | Relativity for Emmanuel

Question

A constant volume gas thermometer records pressure of body as 250mm of Hg at 0°c and 350mm Hg at 100°c. Calculate the temperature when the gas pressure reads 300mm Hg

Answer 1

$$T=aP+b$$

$$0=250a+b$$

$$100=350a+b$$

So,

$$100=100a\to a=1$$

$$0=250+b\to b=-250$$

Then,

$$T=P-250$$

$$T(300)=300-250=50\degree C$$