Question

The ice and steam points on a thermometer correspond to X and 80mm respectively. A temperature of 60 degree Celsius corresponds to 52mm on the thermometer. Calculate the value of X.

Answer 1

Answer on Question #64300, Physics / Molecular Physics | Thermodynamics

Question:

The ice and steam points on a thermometer correspond to X and 80mm respectively. A temperature of 60 degree Celsius corresponds to 52mm on the thermometer. Calculate the value of X.

Solution:

Let's illustrate our initial data:

Assuming that the scale of out thermometer is uniform, we may write this proportion:

$$\frac {52 - X}{60 - 0} = \frac {80 - X}{100 - 0}$$

Then $100 \cdot (52 - X) = 60 \cdot (80 - X)$,

$$\begin{array}{l} 5200 - 100X = 4800 - 60X \\ -40X = -400 \\ X = 10mm \\ \end{array}$$

Answer:

$$X = 10mm$$

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