Hi, I'm trying to calculate the efficiency for the Brayton Cycle. The end result is supposed to be:
$$ \eta = \frac{C_p(T_3-T_4) - C_p(T_2-T_1)}{C_p(T_3-T_2)}$$
Where the denominator is from $Q_h$.
However, when I calculate $Q_h$, I also get a component from work:
$$ dQ_h = C_p dT + pdV$$
$$ Q_h = C_p(T_3-T_2) + p_{max}(V_3-V_2)$$
Why are you able to ignore the work component when calculating the added heat?