Iron rails are used to build a railroad track. If eachrail is 10.000m long when

Question

Iron rails are used to build a railroad track. If eachrail is 10.000m long when it is placed in the track at atemperature of 20.0 celsius, how much space must be leftbetween the rails so that they just touch each other when thetemperature is 40.0 celsius. [the value of for iron is11.4 x10 (C)-1]. I tried first using the equation: L=LoT But I keep getting 228m for the change in length. Am I usingthe wrong equation?? Iron rails are used to build a railroad track. If eachrail is 10.000m long when it is placed in the track at atemperature of 20.0 celsius, how much space must be leftbetween the rails so that they just touch each other when thetemperature is 40.0 celsius. [the value of for iron is11.4 x10 (C)-1]. I tried first using the equation: L=LoT But I keep getting 228m for the change in length. Am I usingthe wrong equation??

Explanation / Answer

The CTE of Iron is 11.4 x 10-6. Thus, L = ()(Lo)(Tf -To)       = (11.4 x10-6)(10.0m)(40.0 - 20.0)       = .00228m This would be the change in length of one rail. Therefore for therails to barely touch there would need to be double that length or.00456m.

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