What Is the Correct Steam Point Temperature in a Custom Scale?

[Quelsita]

QUESTION:
Suppose the numerical value of 492 is assigned to the ice point temperature $$\theta$$_ice=492.
a) Find the steam point temperature on this scale.

b) Calculate the temperature interval between the steam point and the ice point on
this scale.

SOLUTION a :
We know that the ratio $$\theta$$_ice/$$\theta$$_steam = 1.3661
and that $$\theta$$_steam - $$\theta$$_ice = 100

thus,

$$\theta$$_steam = (1.3661)($$\theta$$_ice)
$$\theta$$_steam = (1.3661) (492)
$$\theta$$_steam = 671.12

SOLUTION b:
If $$\theta$$_ice=492 and
$$\theta$$_steam=672.12
then
$$\theta$$_steam -$$\theta$$_ice =180.12

Is this really correct?

Thanks!

 

[AvroArrow]

Yes, the calculation is correct. The temperature interval between the steam point and the ice point on this scale is 180.12.

 

[tomcue]

I would like to point out that the steam point temperature on this scale should be 673.12 instead of 672.12, based on the given information. Therefore, the temperature interval between the steam point and the ice point is actually 181.12 instead of 180.12. It is important to be precise and accurate in our calculations and measurements in order to ensure the validity of our results and conclusions.