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Q. Which among the following equations represents the first law of thermodynamics under isobaric conditions ?

MHT CETMHT CET 2018Thermodynamics

Solution:

According to first law of thermodynamics,

$\Delta U=q+W$ In case of isobaric conditions, change of state is brought about at constant pressure, i.e. $dp= Q$ Moreover, work done for a process is given as $W=-p_{\text {ext. }} \Delta V$.

Substituting the value of 'W' in first law of thermodynamics

$\Delta U=q_{p}-p_{\text {ext }} \cdot \Delta V$