First slide

Fundamentals of thermodynamics

Question

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

Moderate

A

Isothermal process : $q = - w$
B

Cyclic process : $q = - w$
C

Isochoric process : $Δ E = q$
D

Adiabatic process : $Δ E = - w$

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.
$ΔE = q + W we get ΔE = W$
In adiabatic expansion, work is done by the system on the surroundings hence W is negative. Accordingly , $∆ E$ is also negative. i.e. internal energy decreases. In adiabatic compression. W is positive, $∆ E$ is also positive

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