The rate of change of atmospheric pressure P with respect to altitude h is proportional to P, provided that temperature is constant. At 15°C the pressure is 1000 m. Answer the following 101.3 kPa at sea level and 87.14 kPa at h = questions. a) What is the atmospheric pressure at an altitude of 4000 m? Round to three decimal places. kPa b) What is the atmospheric pressure at the top of Mount Greylock in Massachusetts, at an altitude of 1063 m? Round to three decimal places. kPa
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- The pressure on Earth's atmosphere as a function of height y above sea level can be determined by assuming g to be constant and that the density of air is proportional to the pressure, i.e., px P. Note that this assumption is not very accurate since temperature and other weather effects can influence pressure. [Hint: Po = 1.013 × 105 N/m², po = 1.29 kg x m-³] (1) Start by finding a relation between the pressure Po and the density of air po at 0° at sea level (y=0) and the pressure P and density p at height y. Using this relation find an expression for p as a function of P, i.e., p = p(P). (2) Find the pressure as a function y. (3) At what altitude above sea level is the atmospheric pressure equal to half the pressure at sea level?A device called an insolation meter is used to measure the intensity of sunlight has an area of 100 cm2 and registers 6.50 W. What is the intensity in W/m2 ?Part (a) Calculate the volume V4, in cubic meters, after the gas is expanded isothermally. V4 = ______ Part (b) Use the result from part (e) to determine P4, in pascals. P4 = ______
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