Answer
(a) $𝜖 = 58.1 \%$
(b) $𝜖 = 59.5 \%$
$\Delta 𝜖 = 1.40 \%$
Work Step by Step
(a) $𝜖 = 1 - \frac{1}{r^{\gamma -1 }} $
$𝜖 = 1 - \frac{1}{8.80^{1.40 -1 }} $
$𝜖 = 1 - \frac{1}{8.80^{0.40}} $
$𝜖 = 58.1 \%$
(b) $𝜖 = 1 - \frac{1}{r^{\gamma -1 }} $
$𝜖 = 1 - \frac{1}{9.60^{1.40 -1 }} $
$𝜖 = 1 - \frac{1}{9.60^{0.40}} $
$𝜖 = 59.5 \%$
The difference in efficiency is
$\Delta 𝜖 = 59.5 \% - 58.1 \% $
$\Delta 𝜖 = 1.40 \%$ The efficiency is increase by $1.40 \%$
