Thermodynamics and Thermochemistry - Result Question 21

####21. $\Delta U$ is equal to

(a) isochoric work

(b) isobaric work

(c) adiabatic work

(d) isothermal work

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Solution:

  1. According to first law of thermodynamics,

$$ \Delta U=q+W=q-p \Delta V $$

In isochoric process $(\Delta V=0), \Delta U=q$

In isobaric process $(\Delta p=0), \Delta U=q$

In adiabatic process $(q=0), \Delta U=W$

In isothermal process $(\Delta T=0)$ and $\Delta U=0$

$\therefore \Delta U$ is equal to adiabatic work.



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