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Steel railway track 10 m long laid at 17 C, maximum 45 C: expansion gap

The same question, asked 2 times: 2 May 2023 S1*, 11 May 2023 S1. Every wording below, oldest first.

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  1. Question 1

    2 May 2023 S1

    25
    Railway track is made of steel segments separated by small gaps to allow for linear expansion. The segment of track is 10 m long when laid at temperature 17∘17^\circC. The maximum temperature that can be reached is 45∘45^\circC. Increase in length of the segment of railway track is x×10−5x \times 10^{-5} m. The value of xx is αsteel=1.2×10−5 ∘C−1\alpha_{\text{steel}} = 1.2 \times 10^{-5}\,^\circ\text{C}^{-1}

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  2. Question 2

    11 May 2023 S1

    42
    Rails of material of steel are laid with gaps to allow for thermal expansion. Each track is 10 m long, when laid at temperature 17∘17^\circC. The maximum temperature that can be reached is 45∘45^\circC. The gap to be kept between the two segments of railway track is αsteel=1.3×10−5/∘\alpha_{steel} = 1.3 \times 10^{-5}/^\circC

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