Fundamentals of thermodynamics

Question

Which one of the following equations does not correctly represent the first law of thermodynamics for the given process

Moderate

Solution

In adiabatic process. 110 heat is allowed to enter or leave the system, i.e. q = 0 Substituting this value in first law of thermodynamics.

$\mathrm{\Delta E}=\mathrm{q}+\mathrm{W}\phantom{\rule{0ex}{0ex}}\mathrm{we}\mathrm{get}\mathrm{\Delta E}=\mathrm{W}$

In adiabatic expansion, work is done by the system on the surroundings hence W is negative. Accordingly , $\u2206\mathrm{E}$ is also negative. i.e. internal energy decreases. In adiabatic compression. W is positive, $\u2206\mathrm{E}$ is also positive

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