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28 July, 18:38

A length change 0.08 m will occur for an object that is L = 56 m long. If the coefficient of thermal expansion is5.3 x 10 / C and if the original temperature is 253 C, find the increase in temperature.

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  1. 28 July, 19:58
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    Increase in temperature = 269.54 °C

    Explanation:

    We have equation for thermal expansion

    ΔL = LαΔT

    Change in length, ΔL = 0.08 m

    Length, L = 56 m

    Coefficient of thermal expansion, α = 5.3 x 10⁻⁶ °C⁻1

    Change in temperature, ΔT = T - 253

    Substituting

    0.08 = 56 x 5.3 x 10⁻⁶ x (T - 253)

    (T - 253) = 269.54

    T = 522.54 °C

    Increase in temperature = 269.54 °C
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