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?
-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
I mean 1458 X , not K, obviously
Thank you SO much!!!
To determine the temperature difference in X degrees for a change of 1 degree Celsius, we need to find the temperature range in Celsius that corresponds to the temperature range in X degrees.
First, we need to determine the temperature range of nitrogen on planet X. The melting point of nitrogen is 0 degrees X, and the boiling point is 100 degrees X. Therefore, the temperature range in X degrees for nitrogen is 100 - 0 = 100 degrees X.
Next, we need to find the temperature range in Celsius for nitrogen. The melting point of nitrogen is -210 degrees Celsius, and the boiling point is -196 degrees Celsius. Therefore, the temperature range in Celsius for nitrogen is -196 - (-210) = 14 degrees Celsius.
To find the temperature difference in X degrees for a change of 1 degree Celsius, we divide the temperature range in X degrees by the temperature range in Celsius:
Temperature difference in X degrees = (Temperature range in X degrees) / (Temperature range in Celsius)
Temperature difference in X degrees = 100 / 14
Temperature difference in X degrees ≈ 7.14 degrees X
Therefore, a temperature change of 1 degree Celsius corresponds to a temperature difference of approximately 7.14 degrees X on planet X.
Next, to determine the temperature in degrees X at which water freezes, we need to know the freezing point of water in Celsius. The freezing point of water is 0 degrees Celsius.
Using the temperature difference we calculated earlier, we can find the corresponding temperature in degrees X:
Temperature in degrees X = (Temperature in Celsius) * (Temperature difference in X degrees)
Temperature in degrees X = 0 * 7.14
Temperature in degrees X = 0 degrees X
Therefore, water freezes at 0 degrees X on planet X.
Finally, to determine the temperature in degrees X that corresponds to absolute zero, we need to know the temperature in Celsius at absolute zero. Absolute zero is defined as -273.15 degrees Celsius.
Using the temperature difference we calculated earlier, we can find the corresponding temperature in degrees X:
Temperature in degrees X = (Temperature in Celsius) * (Temperature difference in X degrees)
Temperature in degrees X = -273.15 * 7.14
Temperature in degrees X ≈ -1954.41 degrees X
Therefore, absolute zero corresponds to approximately -1954.41 degrees X on planet X.