The rate of change of atmospheric pressure P with respect to altitude h is proportional to P, provided that the temperature is constant. At

Question

The rate of change of atmospheric pressure P with respect to altitude h is proportional to P, provided that the temperature is constant. At a specific temperature the pressure is 101.5 kPa at sea level and 87.3 kPa at h = 1,000 m. (Round your answers to one decimal place.)

(a) What is the pressure at an altitude of 3500 m? kPa
(b) What is the pressure at the top of a mountain that is 6154 m high?

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Allison 1 month 2021-10-15T20:49:03+00:00 1 Answer 0 views 0

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    2021-10-15T20:50:55+00:00

    Answer:

    P = 101.5 e^{-0.00015h}

    Step-by-step explanation:

    dP/dh = kP

    dP/P = k dh

    ln P = kh + C

    Now, using the points given,

    ln 101.5 = C, so C = 4.62

    ln 87.3 = k*1000 + 4.62

    k = -0.00015

    So, we have

    ln P = -0.00015 h + ln 101.5

    P = 101.5 e^(-0.00015h)

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45:7+7-4:2-5:5*4+35:2 =? ( )