A body’s current radiation rate is 30% higher than it was an hour ago. Calculate the percentage by which your temperature increased.

Question

A body’s current radiation rate is 30% higher than it was an hour ago. Calculate the percentage by which your temperature increased.

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Neala 5 months 2021-08-15T16:19:27+00:00 1 Answers 1 views 0

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    2021-08-15T16:21:21+00:00

    Answer:

    6.8%

    Explanation:

    According to Stefan-Boltzmann law, radiation is directly proportional with temperature raised to the fourth power:

    P ∝ T⁴

    Writing a proportion:

    P₁ / P₂ = T₁⁴ / T₂⁴

    1.3P / P = (T₁ / T₂)⁴

    T₁ / T₂ = ∜1.3

    T₁ = 1.068 T₂

    The temperature increased by 6.8%.

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