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# Answer to Question #8175 in Molecular Physics | Thermodynamics for Frank Omorogbe

Question #8175
The ice and steam points on a thermometer correspond to X and 50mm respectively. A temperature of 60 degree Celsius corresponds to 52mm on the thermometer. Calculate the value of X.
1
2012-04-10T07:04:56-0400
Let's find out the relation between termometer height and temperature. We assume that height changes linearly with respect to temperature, i.e.
H = &alpha;T + C.
We know that
52 = 60&alpha; + C ==&gt; C = 52 - 60&alpha;.
Also, the ice and the steam points corresponds to 0&deg;C and 100&deg;C respectively, so
50 = 100&alpha; + C ==&gt; C = 50 - 100&alpha;
and
X = 0&alpha; + C ==&gt; X = C.
At last, X = C = 52 - 60&alpha; = 50 - 100&alpha; ==&gt; 52 - 60&alpha; = 50 - 100&alpha; ==&gt; 2 = -40&alpha; ==&gt; &alpha; = -0.05
and X = C = 52 - 60&alpha; = 52 - 60*(-0.05) = 55mm.

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