Asked by Kimmy

On planet X, the alien residents use a temperature scale in which they define 0 degrees X to be the melting point of nitrogen and 100 degrees X to be the boiling point of nitrogen.

What temperature difference in X degrees does a temperature change of 1 C degree correspond to?

What temperature in degrees X does water freeze?

What temperture in degrees X does absolute zero correspond to?
Answered by Damon
-195.8 deg C = nitrogen boils

-210 deg C = nitrogen melts

so 0 to 100 X is -210 C to -195.6 C

14.4 deg C is 100 X
so
change of 1 deg C is change of 6.94 X

relation is linear
X = k C + b
we already know the slope k = 6.94
X = 6.94 C + b
when C = -210, X = 0
0 = 6.94 (-210) + b
b = 1458
so
X = 6.94 C + 1458
before we go any further check boiling point of N2
C = -195.6
X = 6.94 (-195.6) + 1458
X = -1358+ 1458 = 100 Yeah!
so now use our formula
X = 6.94 C + 1458
to find X for C = 0 (1458 K obviously)
and for C = -273

Answered by Damon
I mean 1458 X , not K, obviously
Answered by Kimmy
Thank you SO much!!!
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