Z scale for Tempresure

[Shayna]

A demented scientist creates a new temperature scale, the "Z scale." He decides to call the boiling point of nitrogen 0 Z and the melting point of steel 1000 Z.

What is the boiling point of water on the Z scale?
Convert 200 Z to the Celsius scale.
Convert 200Z to the Kelvin scale.

Attempt solution

Boiling point of nitrogen -190 C
Melting point of Steel 1540 C

1540- (-190) = 1728 C
1728 C = 1000 Z

1.728 C = 1 Z
1 C = 0.5787 Z

Boiling point of water 100C = 57.9 Z
200Z = 345.6 C
200Z = 618.75 K

Mastering physics doesn't like my answer :(

[mgb_phys]

The first part is correct.
But for the second part you have to take into account the offset between Z and C.
What would 0c be in Z?
It's just the same idea as converting deg F to deg C.

[Shayna]

I actually didn't quite understand the converting between F and C,
0C in Z Maybe 190C/1728C = X/1000Z therefore 109Z?
Then should 100C in Z be 290/1728 = Z/1000 therefore 167.82?

I think MasPhys liked my answer this time.
Thanks a lot :)
Have a good Thanksgiving.

[mgb_phys]

0Z is -190C
1 C = 0.5787 Z
so 0C is 190*0.5787 Z = 109.9 Z
so Z is = 109.9 + C*0.5787
therefore 100 degC = 109.9 + 57.87 = 167.82 degZ