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16 May, 20:15

Asmall metal bar, whose initial temperature was 20°C, is dropped into a large container of boiling water. How long will it take the bar to reach 90°C if it is known that its temperature increases 2°in 1 second? How long will it take the bar to reach 98°C?

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  1. 16 May, 23:40
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    a) 35 s

    b) 39 s

    Explanation:

    Initial temperature T₁ = 20 °C

    Final temperature T₂ = 90 °C

    Temperature rise rate = 2 °C/s

    To solve the problem we can use the formula T₁ + t * 2°C/s = T₂

    Where t is the time, in seconds.

    We solve for t:

    20°C + t * 2°C/s = 90°C

    t * 2°C/s = 70°C

    t = 35 s

    We use the same formula in order to solve the second question, keeping in mind that in this case T₂ = 98 °C:

    20°C + t * 2°C/s = 98°C

    t * 2°C/s = 78°C

    t = 39 s
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