- #1
KingBigness
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Homework Statement
From
[itex]\frac{de_{s}}{dT} = \frac{L_{v}e_{s}}{R_{v}T^{2}} [/itex]
derive
[itex] e_{s}(T) = 6.11 e^{\frac{L}{RV}(\frac{1}{T}-\frac{1}{273})} [/itex]
Homework Equations
The Attempt at a Solution
The way my lecturer derived it was he 'split' the derivative and took them to their respective sides and integrated.
So he got
[itex] \frac{de_{s}}{e_{s}} = \frac{LdT}{R_{v}T^{2}} [/itex]
However I was under the impression that you can't 'split' a derivative like that. Is this just a shortcut some physicists take to make the maths more simple? If it is what is the correct way of deriving this?