The variation of fluid pressure with height is described by the differential equation: dP =-pg dz Here, p is specific density and g is the local acceleration of gravity. For an ideal gas, p = MP/RT, where M is molar mass and R is the universal gas constant. Modeling the atmosphere as an isothermal column of ideal gas at 283.15 K (10°C), estimate the ambient pressure in Denver, where z = 1(mile) relative to sea level. For air, take M = 29 g mol; values of R are given in App. A.

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Units and Dimensions

Dimensions are the basic concepts of the measurement of quantities. Units are the means of expressing the dimensions. For instance, an area has a dimension of L2 and a unit of m2.