tex]...

ivancorcunov @ivancorcunov

August 2022 1 6 Report

Вывести T из равенства

[tex]\frac{P}{Po} = (\frac{T}{To} )^{\frac{-g}{k*R} }[/tex]

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DNHelper

Verified answer

$\frac{P}{P_{0}}=(\frac{T}{T_{0}})^{\frac{-g}{k*R}} \Leftrightarrow (\frac{P}{P_{0}})^{\frac{k*R}{-g}}=((\frac{T}{T_{0}})^{\frac{-g}{k*R}})^{\frac{k*R}{-g}} \Leftrightarrow \frac{T}{T_{0}}=(\frac{P}{P_{0}})^{\frac{k*R}{-g}} \Leftrightarrow T=T_{0}*(\frac{P}{P_{0}})^{\frac{k*R}{-g}}$

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