Posted by **Kimmy** on Tuesday, January 14, 2014 at 5:28pm.

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?

- Physics -
**Damon**, Tuesday, January 14, 2014 at 5:54pm
-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

- Physics -
**Damon**, Tuesday, January 14, 2014 at 5:56pm
I mean 1458 X , not K, obviously

- Physics -
**Kimmy**, Tuesday, January 14, 2014 at 6:18pm
Thank you SO much!!!

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