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Statement of a problem № 407

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An ideal gas of molar mass M is located in the uniform gravitational field in which the free-fall acceleration is equal to g. Find the gas pressure as a function of height h, if p = p0 at h = 0, and the temperature varies with height as (a) T = T0 (1 - ah); (b) T = T0 (1 + ah), where a is a positive constant.

Solution:
An ideal gas of molar mass M is located in the uniform gravitational field in wh

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