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  1. #1
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    word problem

    As dry air rises, it expands, and this causes it to cool about 1 degree Celsius for every 100 meter rise, up to a height of 12 Km. If the ground temperature is write a formula for the temperature T in terms of the height h (in meters) above ground.
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  2. #2
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    Quote Originally Posted by lilikoipssn View Post
    As dry air rises, it expands, and this causes it to cool about 1 degree Celsius for every 100 meter rise, up to a height of 12 Km. If the ground temperature is write a formula for the temperature T in terms of the height h (in meters) above ground.
    Let h denote the height measured in metres.

    Then the temperature can be calculated by:

    T(h) = T(0) +\frac{-1^\circ C}{100} \cdot h

    Plug in the given value:

    T(12,000) = 22^\circ C +\frac{-1^\circ C}{100} \cdot 12,000 = -98^\circ C

    A personal remark: The last time I travelled by plane the temperature outside at an altitude of 13 km was around -60C.
    I only want to point out that your model isn't very accurate.
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