Question

AHS 375-Homework 11 Due: 2 October 2019 30 Sep 2019 1. Show that pressure decreases more rapidly with height in a cold layer of air than in a warm layer. Hint: start with hydrostatic balance and make use of the ideal gas law. 2. Use the hypsometric equation to determine how much the mean virtual temperature of the 1000 hPa to 850 hPa layer would change if the thickness of the layer decreased by 20 m. Would the mean virtual temperature increase or decrease? 3. The hypsometric equation tells us that the 1000-500 hPa thickness is proportional to the mean temperature in that layer. Thus contours of thickness

Answer 1

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The cold air is denser and have compact molecules as compared to hot air. So it becomes difficult for cold air to spread out in the atmosphere and thus the pressure keeps on decreasing with the increase in height.